Mansi Palav | Numerical Analysis | Best Researcher Award

Posted on by Math Scientist

Assist. Prof. Dr. Mansi Palav | Numerical Analysis | Best Researcher Award

Assistent Professor at SIES College of Arts, Science and Commerce, India

Dr. Mansi Subhash Palav 🌟 is a passionate researcher in Applied Mathematics, currently pursuing her Ph.D. at SVNIT Surat 🎓 with an exceptional academic record, including a Gold Medal in M.Tech from DIAT Pune 🏅. Her expertise spans numerical analysis, mathematical modeling, and image encryption 🔐, demonstrated through high-impact publications in Q1 and Q2 SCIE journals 📚. A double CSIR-NET qualifier with JRF and SET credentials 🧠, she has also presented at over ten prestigious international conferences 🌍. Her innovative work using B-splines for solving complex equations reflects her dedication to cutting-edge research 🧮. Beyond academia, she’s contributed as a Subject Matter Expert and Visiting Faculty, nurturing mathematical minds with clarity and precision 👩‍🏫. Her achievements are crowned with multiple national awards, reflecting a blend of academic brilliance and research finesse 🏆. Driven by curiosity and innovation, Dr. Palav stands out as a dynamic force in mathematical sciences 💡✨.

Professional Profile

Google Scholar
Scopus Profile
ORCID Profile

Education 🎓📘

Dr. Mansi Palav’s academic voyage began with brilliance and determination. She earned her B.Sc. in Mathematics with distinction from Ramniranjan Jhunjhunwala College, Mumbai 🏛️, laying a solid foundation for her mathematical pursuits. Continuing this trajectory, she completed her M.Sc. in Mathematics from K.J. Somaiya College of Science and Commerce, Mumbai University 📈. Driven by a passion for applied mathematics, she pursued her M.Tech in Modeling and Simulation from DIAT Pune, emerging as a Gold Medalist 🥇. Her academic trail then led her to pursue a Ph.D. at SVNIT Surat under the AICTE Doctoral Fellowship 🧑‍🔬, specializing in numerical solutions of differential equations using B-spline functions. Her educational journey is marked not only by stellar grades and prestigious institutions but by a continual quest for deeper understanding and innovation. Each degree earned is a testament to her curiosity, diligence, and drive to make meaningful contributions to mathematics 🧠✨.

Professional Experience 👩‍🏫💼

Dr. Mansi Palav’s professional journey is as vibrant as her academic path. She has served as a Subject Matter Expert in Mathematics at Evelyn Learning Systems, crafting top-tier content tailored for academic clarity 📖. Her passion for teaching also led her to be a Visiting Faculty at K.J. Somaiya College of Science and Commerce, where she inspired undergraduate minds with lucid explanations and real-world mathematical connections 🧮✨. Beyond classrooms, she collaborated on advanced simulation projects during her M.Tech, cultivating skills in modeling complex systems 🛠️. Her involvement in interdisciplinary initiatives has equipped her with a versatile outlook, making her adept at both pure and applied mathematical problems 🔍. Whether mentoring, writing, or researching, she brings enthusiasm and precision to each task. Her experience embodies a balanced blend of technical mastery and people-oriented insight, making her a respected contributor in both academic and educational domains 🌐📚.

Research Interest 🧪📊

A passionate scholar at heart, Dr. Mansi Palav’s research realm revolves around the elegant applications of mathematics in solving real-world puzzles. Her primary focus lies in numerical analysis, specifically using B-spline techniques to solve ordinary and fractional differential equations 🔢. She is deeply intrigued by the potential of mathematical modeling to decode complex natural and engineered systems 🌿⚙️. Additionally, her work extends to cutting-edge areas such as image encryption and scientific computing, marrying abstract theory with practical relevance 🔐💻. Her methodological approach combines analytical precision with computational power, enabling robust simulations and innovative problem-solving strategies. With multiple publications in high-impact Q1 and Q2 SCIE journals, Dr. Palav demonstrates an unwavering commitment to original research 📄💥. She is continually expanding her research horizon by integrating cross-disciplinary elements that enrich the applicability and depth of her mathematical endeavors, making her a rising torchbearer in applied mathematics 🔬📈.

Awards and Honors 🏅🌟

Dr. Mansi Palav’s exceptional accomplishments have been celebrated through numerous accolades and prestigious recognitions. She proudly earned the Gold Medal 🥇 during her M.Tech at DIAT Pune, underscoring her academic excellence. A two-time qualifier of the CSIR-NET exam with Junior Research Fellowship (JRF), she has also cracked the SET exam, further affirming her scholarly caliber 🎖️. Her research prowess has been showcased at over ten reputed international and national conferences 🌍, where she has delivered insightful presentations and received wide acclaim. A recipient of the AICTE Doctoral Fellowship at SVNIT Surat, she has also been recognized by the Indian Mathematical Society and other prominent platforms for her outstanding contributions 🧠🏆. These honors not only validate her expertise but also spotlight her as a promising voice in the mathematical sciences. With each award, she adds a new feather to her cap, fueling her passion for excellence and innovation in mathematics 🌠💡.

Conclusion ✨

Dr. Mansi Palav exemplifies a rare blend of intellectual brilliance, creative thinking, and unyielding perseverance 🚀. Her journey through academia, research, and education paints a picture of a dynamic mathematician committed to pushing the boundaries of knowledge 🧭. With a rich foundation in numerical methods and a keen eye for practical applications, she continues to make waves in mathematical modeling, encryption technologies, and computational simulations 🔄📉. Her accolades and professional experience echo her dedication, while her ability to inspire and lead showcases her role as an emerging thought leader in her field 🌟📢. As she strides forward in her research career, Dr. Palav remains rooted in curiosity and driven by impact, ready to illuminate new paths in applied mathematics and beyond. With each step, she not only elevates her field but also empowers future generations of mathematical minds 💫🎓.

Publications Top Notes

  • Redefined Fourth Order Uniform Hyperbolic Polynomial B-Splines Based Collocation Method for Solving Advection-Diffusion Equation

    ✍️ Authors: M.S. Palav, V.H. Pradhan
    📅 Year: 2025
    📜 Citation: Applied Mathematics and Computation, 484, 128992
    🌐 Source: Applied Mathematics and Computation
  • A Masking-Based Image Encryption Scheme Using Chaotic Map and Elliptic Curve Cryptography

    ✍️ Authors: M. Palav, R.T. Gode, S. Krishna Murthy
    📅 Year: 2021
    📜 Citation: Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy
    🌐 Source: SpringerLink
  • Efficient Numerical Solution of Burgers’ Equation Using Collocation Method Based on Re-Defined Uniform Hyperbolic Polynomial B-Splines

    ✍️ Authors: M. Palav, V. Pradhan
    📅 Year: 2025
    📜 Citation: Journal of Applied Mathematics and Computing, 1-46
    🌐 Source: SpringerLink
  • B-Spline Finite Element Solution of 1D Contaminant Transport Equation Along Unsteady Flow in Saturated Contaminant Free Porous Media with General Boundary Conditions

    ✍️ Authors: M.S. Palav, V.H. Pradhan
    📅 Year: 2024
    📜 Citation: International Journal of Computing Science and Mathematics, 20(4), 353-370
    🌐 Source: Inderscience Publishers
  • Comparison of Numerical Solution of Consolidation Equation in One Dimension by Finite Difference Methods and Finite Element Method with Analytical Solution

    ✍️ Authors: S.L. Gosiya, M.S. Palav, V.H. Pradhan
    📅 Year: 2023
    📜 Citation: Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy
    🌐 Source: SpringerLink
  • An Efficient Image Encryption Scheme Combining Rubik’s Cube Principle with Masking

    ✍️ Authors: M. Palav, R.T. Gode, S.K. Murthy
    📅 Year: 2022
    📜 Citation: Neural Networks, Machine Learning, and Image Processing, 181-198
    🌐 Source: SpringerLink

 

Mohamed Etarhouni | Mathematical Modeling | Best Researcher Award

Posted on by Math Scientist

Dr. Mohamed Etarhouni | Mathematical Modeling | Best Researcher Award

Electrical Engineering Lecturer at Liverpool John Moores University, United Kingdom

Dr. Mohamed Etarhouni is an accomplished lecturer and researcher in Electrical and Electronic Engineering 🌍. With a PhD specializing in renewable energy systems, his innovative work on optimizing solar PV systems 🏞️ has been published in top journals like IEEE and Elsevier. Boasting over 8 years of teaching experience 📚, he excels in integrating modern tools such as MATLAB-Simulink, Proteus, and Mobius to create engaging, hybrid learning environments. His passion for student development is evident through his commitment to inclusive education and ongoing professional growth, including a PGCert in Teaching in Higher Education 🎓. Dr. Etarhouni’s contributions extend beyond teaching, as he actively participates in academic conferences, peer reviewing, and fostering interdisciplinary research. Recognized for his exceptional teaching and scholarly achievements 🏆, he is a forward-thinking academic whose work bridges the gap between theory and practical solutions in the rapidly evolving field of renewable energy.

Professional Profile

Scopus Profile
ORCID Profile

Education 🎓

Dr. Mohamed Etarhouni’s educational journey showcases a blend of academic excellence and practical application. He earned his PhD in Electrical and Electronic Engineering from the University of Leeds, where he focused on developing advanced techniques for maximizing power extraction from solar photovoltaic (PV) systems, particularly under partial shading conditions 🌞. In addition, he holds an MSc in Electrical Engineering & Renewable Energy Systems with distinction from the University of Leeds, where he demonstrated outstanding performance in his field. Currently, he is further advancing his teaching expertise by pursuing a PGCert in Teaching in Higher Education at Keele University, continuing his passion for educational innovation 📚. His strong educational foundation enables him to deliver effective and forward-thinking teaching strategies while also contributing to research and technology development in renewable energy.

Professional Experience 💼

Dr. Etarhouni brings over 8 years of experience in academia, having taught at respected institutions such as Liverpool John Moores University, Teesside University, and the Open University. He has designed and delivered courses in a variety of areas, including electronics, power electronics, embedded systems, and electrical circuits ⚡. Dr. Etarhouni integrates cutting-edge technologies like Canvas, MATLAB-Simulink, and Mobius to enhance the learning experience for students, ensuring they acquire the practical skills needed in the rapidly evolving field of electrical engineering. His expertise is not limited to teaching; he has supervised both undergraduate and postgraduate students, guiding them through research projects that bridge theory and real-world applications. Dr. Etarhouni’s collaborative research with the University of Leeds in power electronics and renewable energy continues to fuel his passion for both education and sustainable technology 🌍.

Research Interest 🔬

Dr. Etarhouni’s primary research interest lies in optimizing renewable energy systems, specifically solar power technologies. His work on improving the performance of solar PV systems through advanced optimization techniques—particularly in partial shading scenarios—has set him apart in his field. He has pioneered innovations such as Series-Parallel Differential Power Processing (SP-DPP) converters and fuzzy logic-based control systems, all designed to maximize energy extraction from solar arrays 🌞. His research also delves into the integration of renewable energy systems with power electronics, aiming to improve overall system efficiency and reliability. His work in this area has been published in prominent journals, and he continues to explore new configurations to enhance the practicality and scalability of renewable energy solutions, contributing significantly to the global push toward sustainable energy sources 🌱.

Awards and Honors 🏅

Dr. Etarhouni’s dedication to both research and teaching has earned him numerous accolades. He was awarded the Best Paper Award at the IEEE Renewable Energy Congress for his groundbreaking work on solar PV technologies, and his teaching excellence has been recognized with multiple Teaching Recognition Certificates from Liverpool John Moores University 🏆. His contributions to higher education and research were further acknowledged when he received an Exemplar Recognition from Keele University for his innovative approaches to teaching. As a Fellow of the Higher Education Academy (FHEA), Dr. Etarhouni demonstrates a strong commitment to maintaining high teaching standards. His active role as a session chair and peer reviewer at international conferences highlights his prominent position within the academic community, and his continuous professional development reflects his dedication to furthering his expertise in both pedagogy and engineering 🌟.

Conclusion 🌟

Dr. Mohamed Etarhouni stands out as an academic and researcher whose work consistently bridges the gap between cutting-edge renewable energy solutions and effective teaching methodologies. His contributions to optimizing solar energy systems are setting new standards in the field of renewable energy, while his dedication to education is fostering the growth of future engineers. As a published researcher and award-winning educator, Dr. Etarhouni’s innovative approach to both teaching and research continues to influence the academic and engineering communities. With his ongoing commitment to professional development and research, Dr. Etarhouni is poised to remain a key figure in advancing sustainable energy solutions and educational excellence 🌍⚡.

Publications Top Notes

🌞 Design of Novel Differential Power Processing Scheme for Small-Scale PV Array Application Operating Under Partial Shading Conditions

Authors: Mohamed Etarhouni, Hiroshan Puvanendra Moorthy, Benjamin Chong
Year: 2024
Source: Computers and Electrical Engineering
DOI: 10.1016/j.compeleceng.2024.109254
This paper discusses a novel power processing scheme 🛠️ designed for small-scale photovoltaic (PV) arrays under partial shading conditions 🌥️, which are common in solar energy systems. The scheme aims to maximize the output power and enhance system efficiency by addressing shading effects.

⚡ Control of Cascaded PV-Ćuk Converter Modules by Particle Swarm Optimization Under Partial Shading Conditions

Authors: Mohamed Etarhouni, Benjamin Chong
Year: 2023
Source: World Congress on Electrical Engineering and Computer Systems and Science
DOI: 10.11159/eee23.107
This study explores the optimization 🔧 of Cascaded PV-Ćuk converters using particle swarm optimization 🐝, particularly under partial shading 🌑 conditions. It introduces an innovative control strategy to improve the performance of photovoltaic systems during shaded conditions.

🌞 A Combined Scheme for Maximising the Output Power of a Photovoltaic Array Under Partial Shading Conditions

Authors: Mohamed Etarhouni
Year: 2022
Source: Sustainable Energy Technologies and Assessments
DOI: 10.1016/j.seta.2021.101878
The article presents a combined scheme 🛠️ designed to maximize output power from a photovoltaic array under partial shading 🌤️ conditions. This method enhances the power extraction capabilities of PV systems, addressing common challenges in solar energy applications.

🌅 A Novel Square Algorithm for Maximising the Output Power from a Partially Shaded Photovoltaic Array System

Authors: Mohamed Etarhouni
Year: 2022
Source: Optik
DOI: 10.1016/j.ijleo.2022.168870
This paper introduces a novel square algorithm 💡 for optimizing power output from partially shaded photovoltaic systems. It aims to mitigate the effects of shading 🌒 on solar energy production, improving overall system efficiency 🌞.

🔋 Series-Parallel Differential Power Processing Scheme for Maximised Power Extraction from Mismatched Photovoltaic Panels

Authors: Mohamed Etarhouni
Year: 2020
Source: 10th International Conference on Power Electronics, Machines and Drives (PEMD)
This conference paper presents a series-parallel differential power processing scheme 🔋 to maximize power extraction from mismatched PV panels under varying conditions. The innovative scheme improves solar energy generation efficiency despite mismatch between panels.

🌞 Optimal Design of Series-Parallel Differential Power Processing Converters for Photovoltaic Array Energy Systems

Authors: Mohamed Etarhouni
Year: 2020
Source: 37th European Photovoltaic Solar Energy Conference and Exhibition
This work focuses on the optimal design 🛠️ of series-parallel differential power processing converters aimed at improving energy efficiency in solar power systems. The design optimizes power management in photovoltaic arrays, reducing energy loss due to shading or mismatch.

⚡ Review of PV Array Interconnection Schemes for Maximum Power Operation Under Partial Shading

Authors: Mohamed Etarhouni
Year: 2019
Source: 36th European Photovoltaic Solar Energy Conference and Exhibition
DOI: 10.4229/EUPVSEC20192019-5BO.5.6
This paper offers a comprehensive review 📚 of various PV array interconnection schemes designed to ensure maximum power output under partial shading conditions. It evaluates techniques for overcoming common solar energy challenges related to shading and array configuration.

🌅 A PV Array Reconfiguration Algorithm for Minimising Partial Shading Effects

Authors: Mohamed Etarhouni
Year: 2019
Source: 2019 10th International Renewable Energy Congress (IREC)
DOI: 10.1109/irec.2019.8754602
The paper introduces a reconfiguration algorithm 🔄 for photovoltaic arrays, aimed at minimizing the effects of partial shading 🌦️. The algorithm focuses on optimal array configuration, boosting power extraction by reducing the impact of shading on solar panels.

Ran Zhang | Applied Mathematics | Best Researcher Award

Posted on by Math Scientist

Dr. Ran Zhang | Applied Mathematics | Best Researcher Award

Researcher at Nanjing University of Posts and Telecommunications, China

Ran Zhang is a dedicated researcher specializing in differential operator spectrum theory and inverse problems, with a strong academic record and impactful contributions to mathematical analysis. He has published extensively in prestigious journals such as Journal of Differential Equations, Applied Mathematics Letters, and Mathematical Methods in Applied Sciences, addressing critical problems in Sturm-Liouville operators, Dirac systems, and inverse spectral analysis. As the host of national research projects, including those funded by the National Natural Science Foundation of China and Jiangsu Provincial Natural Science Foundation of China, he has demonstrated leadership in advancing theoretical mathematics. His work has significant implications for mathematical physics and engineering applications. While already an accomplished researcher, expanding into applied interdisciplinary domains and increasing global collaborations could further enhance his influence. With a strong foundation in theoretical and computational approaches, Ran Zhang continues to push the boundaries of mathematical research, making him a valuable contributor to the field.

Professional Profile

Scopus Profile
ORCID Profile

Education

Ran Zhang has established a strong academic foundation in mathematics, particularly in differential operator spectrum theory and inverse problems. His educational journey has been marked by rigorous training in advanced mathematical techniques, equipping him with the analytical and computational skills necessary for solving complex problems in spectral analysis. Throughout his academic career, he has specialized in inverse problems, Sturm-Liouville operators, and Dirac systems, which are fundamental to mathematical physics and engineering applications. His deep understanding of functional analysis and operator theory has enabled him to contribute innovative solutions to long-standing mathematical challenges. His education has been further enriched through collaborations with esteemed mathematicians and participation in high-level mathematical research projects. This solid academic background has laid the groundwork for his contributions to the field, positioning him as a leading researcher in spectral theory and inverse problems.

Professional Experience

Ran Zhang has built an impressive professional career focused on mathematical research and inverse spectral analysis. As a host of research projects funded by the National Natural Science Foundation of China and the Jiangsu Provincial Natural Science Foundation of China, he has played a pivotal role in advancing theoretical mathematics. His work has been recognized in esteemed mathematical journals, reflecting the high impact of his research in spectral theory, Sturm-Liouville operators, and discontinuous differential equations. He has actively contributed to solving complex mathematical challenges and has worked closely with research teams, collaborating with renowned mathematicians across institutions. His experience extends beyond academia, as his research has potential applications in engineering, quantum mechanics, and applied physics. His ability to bridge theoretical mathematics with practical applications makes him a distinguished figure in the field. As he progresses in his career, expanding into interdisciplinary research and mentoring young mathematicians could further solidify his professional legacy.

Research Interest

Ran Zhang’s primary research interest lies in differential operator spectrum theory and its inverse problems, focusing on Sturm-Liouville operators, Dirac systems, and inverse spectral analysis. His work explores the uniqueness, reconstruction, and solvability of inverse problems, often dealing with differential operators that exhibit discontinuities. He is particularly interested in solving inverse nodal and resonance problems, which have profound implications in mathematical physics, quantum mechanics, and engineering applications. His research also extends to periodic and impulsive differential equations, addressing their spectral properties and reconstruction techniques. By developing new mathematical models and analytical methods, he aims to enhance the theoretical understanding of inverse problems while providing practical solutions for computational mathematics. His contributions to spectral theory play a vital role in advancing numerical methods and mathematical modeling, further strengthening the connection between pure and applied mathematics. His future research aims to expand into multidisciplinary applications, fostering collaborations across physics, engineering, and computational sciences.

Awards and Honors

Ran Zhang’s research excellence has been recognized through several prestigious honors and awards. As the recipient of funding from the National Natural Science Foundation of China and the Jiangsu Provincial Natural Science Foundation of China, he has demonstrated his ability to lead impactful research projects. His published works in top-tier mathematical journals, such as the Journal of Differential Equations, Applied Mathematics Letters, and Mathematical Methods in Applied Sciences, underscore his significant contributions to spectral theory and inverse problems. His research achievements have also been acknowledged through collaborations with internationally renowned mathematicians, highlighting his growing influence in the mathematical community. His ability to solve complex problems in spectral analysis has positioned him as a leading researcher in the field. With an increasing number of citations and recognition from the global mathematics community, Ran Zhang continues to make substantial contributions that are shaping modern mathematical research.

Conclusion

Ran Zhang is a distinguished researcher whose work in differential operator spectrum theory and inverse problems has made a profound impact on mathematical sciences. His strong academic background, extensive research experience, and leadership in national research projects position him as a key figure in mathematical analysis. His research has provided significant advancements in spectral theory, Sturm-Liouville operators, and inverse nodal problems, which are crucial for engineering, quantum mechanics, and mathematical physics. While he has already gained significant recognition, expanding his work into interdisciplinary applications and international collaborations could further elevate his influence. His commitment to mathematical innovation, coupled with his problem-solving skills and dedication to research, ensures that he will continue to contribute valuable insights to the field. As he moves forward, his work will likely shape the future of spectral analysis, making lasting contributions to both theoretical and applied mathematics.

Publications Top Noted

  • Title: Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity
    Authors: Ran Zhang, Chuan-Fu Yang, Natalia P. Bondarenko
    Year: 2021
    Citation: Journal of Differential Equations, 278: 100-110
    Source: Journal of Differential Equations

  • Title: Uniqueness and reconstruction of the periodic Strum-Liouville operator with a finite number of discontinuities
    Authors: Ran Zhang, Kai Wang, Chuan-Fu Yang
    Year: 2024
    Citation: Applied Mathematics Letters, 147: 108853
    Source: Applied Mathematics Letters

  • Title: Uniqueness theorems for the impulsive Dirac operator with discontinuity
    Authors: Ran Zhang, Chuan-Fu Yang
    Year: 2022
    Citation: Analysis and Mathematical Physics, 12(1): 1-16
    Source: Analysis and Mathematical Physics

  • Title: Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues
    Authors: Ran Zhang, Xiao-Chuan Xu, Chuan-Fu Yang, Natalia P. Bondarenko
    Year: 2020
    Citation: Journal of Inverse and Ill-posed Problems, 28(3): 341-348
    Source: Journal of Inverse and Ill-posed Problems

  • Title: Solving the inverse problems for discontinuous periodic Strum-Liouville operator by the method of rotation
    Authors: Ran Zhang, Kai Wang, Chuan-Fu Yang
    Year: 2024
    Citation: Results in Mathematics, 79(1): 49
    Source: Results in Mathematics

  • Title: Ambarzumyan-type theorem for the impulsive Sturm-Liouville operator
    Authors: Ran Zhang, Chuan-Fu Yang
    Year: 2021
    Citation: Journal of Inverse and Ill-posed Problems, 29(1): 21-25
    Source: Journal of Inverse and Ill-posed Problems

  • Title: Solvability of an inverse problem for discontinuous Sturm-Liouville operators
    Authors: Ran Zhang, Natalia P. Bondarenko, Chuan-Fu Yang
    Year: 2021
    Citation: Mathematical Methods in Applied Sciences, 44(1): 124-139
    Source: Mathematical Methods in Applied Sciences

  • Title: Reconstruction of the Strum-Liouville operator with periodic boundary conditions and discontinuity
    Authors: Ran Zhang, Chuan-Fu Yang
    Year: 2022
    Citation: Mathematical Methods in Applied Sciences, 45(8): 4244-4251
    Source: Mathematical Methods in Applied Sciences

  • Title: Determination of the impulsive Dirac systems from a set of eigenvalues
    Authors: Ran Zhang, Chuan-Fu Yang, Kai Wang
    Year: 2023
    Citation: Mathematics, 11(19): 4086
    Source: Mathematics

  • Title: Inverse nodal problem for the Sturm-Liouville operator with a weight
    Authors: Ran Zhang, Murat Sat, Chuan-Fu Yang
    Year: 2020
    Citation: Applied Mathematics – A Journal of Chinese Universities Series B, 35(2): 193-202
    Source: Applied Mathematics – A Journal of Chinese Universities Series B