Mansi Palav | Numerical Analysis | Best Researcher Award

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 ๐ŸŒŸ is a passionate researcher in Applied Mathematics, currently pursuing her Ph.D. at SVNIT Surat ๐ŸŽ“ with an exceptional academic record, including a Gold Medal in M.Tech from DIAT Pune ๐Ÿ…. Her expertise spans numerical analysis, mathematical modeling, and image encryption ๐Ÿ”, demonstrated through high-impact publications in Q1 and Q2 SCIE journals ๐Ÿ“š. A double CSIR-NET qualifier with JRF and SET credentials ๐Ÿง , she has also presented at over ten prestigious international conferences ๐ŸŒ. Her innovative work using B-splines for solving complex equations reflects her dedication to cutting-edge research ๐Ÿงฎ. Beyond academia, sheโ€™s contributed as a Subject Matter Expert and Visiting Faculty, nurturing mathematical minds with clarity and precision ๐Ÿ‘ฉโ€๐Ÿซ. Her achievements are crowned with multiple national awards, reflecting a blend of academic brilliance and research finesse ๐Ÿ†. Driven by curiosity and innovation, Dr. Palav stands out as a dynamic force in mathematical sciences ๐Ÿ’กโœจ.

Professional Profile

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Education ๐ŸŽ“๐Ÿ“˜

Dr. Mansi Palavโ€™s academic voyage began with brilliance and determination. She earned her B.Sc. in Mathematics with distinction from Ramniranjan Jhunjhunwala College, Mumbai ๐Ÿ›๏ธ, 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 ๐Ÿ“ˆ. Driven by a passion for applied mathematics, she pursued her M.Tech in Modeling and Simulation from DIAT Pune, emerging as a Gold Medalist ๐Ÿฅ‡. Her academic trail then led her to pursue a Ph.D. at SVNIT Surat under the AICTE Doctoral Fellowship ๐Ÿง‘โ€๐Ÿ”ฌ, 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 ๐Ÿง โœจ.

Professional Experience ๐Ÿ‘ฉโ€๐Ÿซ๐Ÿ’ผ

Dr. Mansi Palavโ€™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 ๐Ÿ“–. 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 ๐Ÿงฎโœจ. Beyond classrooms, she collaborated on advanced simulation projects during her M.Tech, cultivating skills in modeling complex systems ๐Ÿ› ๏ธ. Her involvement in interdisciplinary initiatives has equipped her with a versatile outlook, making her adept at both pure and applied mathematical problems ๐Ÿ”. 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 ๐ŸŒ๐Ÿ“š.

Research Interest ๐Ÿงช๐Ÿ“Š

A passionate scholar at heart, Dr. Mansi Palavโ€™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 ๐Ÿ”ข. She is deeply intrigued by the potential of mathematical modeling to decode complex natural and engineered systems ๐ŸŒฟโš™๏ธ. Additionally, her work extends to cutting-edge areas such as image encryption and scientific computing, marrying abstract theory with practical relevance ๐Ÿ”๐Ÿ’ป. 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 ๐Ÿ“„๐Ÿ’ฅ. 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 ๐Ÿ”ฌ๐Ÿ“ˆ.

Awards and Honors ๐Ÿ…๐ŸŒŸ

Dr. Mansi Palavโ€™s exceptional accomplishments have been celebrated through numerous accolades and prestigious recognitions. She proudly earned the Gold Medal ๐Ÿฅ‡ 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 ๐ŸŽ–๏ธ. Her research prowess has been showcased at over ten reputed international and national conferences ๐ŸŒ, 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 ๐Ÿง ๐Ÿ†. 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 ๐ŸŒ ๐Ÿ’ก.

Conclusion โœจ

Dr. Mansi Palav exemplifies a rare blend of intellectual brilliance, creative thinking, and unyielding perseverance ๐Ÿš€. Her journey through academia, research, and education paints a picture of a dynamic mathematician committed to pushing the boundaries of knowledge ๐Ÿงญ. 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 ๐Ÿ”„๐Ÿ“‰. 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 ๐ŸŒŸ๐Ÿ“ข. 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 ๐Ÿ’ซ๐ŸŽ“.

Publications Top Notes

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

    โœ๏ธ Authors: M.S. Palav, V.H. Pradhan
    ๐Ÿ“… Year: 2025
    ๐Ÿ“œ Citation: Applied Mathematics and Computation, 484, 128992
    ๐ŸŒ Source: Applied Mathematics and Computation

  • A Masking-Based Image Encryption Scheme Using Chaotic Map and Elliptic Curve Cryptography

    โœ๏ธ Authors: M. Palav, R.T. Gode, S. Krishna Murthy
    ๐Ÿ“… Year: 2021
    ๐Ÿ“œ Citation: Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy
    ๐ŸŒ Source: SpringerLink

  • Efficient Numerical Solution of Burgersโ€™ Equation Using Collocation Method Based on Re-Defined Uniform Hyperbolic Polynomial B-Splines

    โœ๏ธ Authors: M. Palav, V. Pradhan
    ๐Ÿ“… Year: 2025
    ๐Ÿ“œ Citation: Journal of Applied Mathematics and Computing, 1-46
    ๐ŸŒ 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

    โœ๏ธ Authors: M.S. Palav, V.H. Pradhan
    ๐Ÿ“… Year: 2024
    ๐Ÿ“œ Citation: International Journal of Computing Science and Mathematics, 20(4), 353-370
    ๐ŸŒ Source: Inderscience Publishers

  • Comparison of Numerical Solution of Consolidation Equation in One Dimension by Finite Difference Methods and Finite Element Method with Analytical Solution

    โœ๏ธ Authors: S.L. Gosiya, M.S. Palav, V.H. Pradhan
    ๐Ÿ“… Year: 2023
    ๐Ÿ“œ Citation: Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy
    ๐ŸŒ Source: SpringerLink

  • An Efficient Image Encryption Scheme Combining Rubikโ€™s Cube Principle with Masking

    โœ๏ธ Authors: M. Palav, R.T. Gode, S.K. Murthy
    ๐Ÿ“… Year: 2022
    ๐Ÿ“œ Citation: Neural Networks, Machine Learning, and Image Processing, 181-198
    ๐ŸŒ Source: SpringerLink

 

Hany Ahmed | Numerical Analysis | Best Researcher Award

Prof. Hany Ahmed | Numerical Analysis | Best Researcher Award

Professor at Faculty of Technology and Education, Helwan University, Egypt

Professor Hany Mostafa Ahmed is a distinguished scholar ๐Ÿง  and visionary researcher ๐Ÿ”ฌ known for his groundbreaking contributions across mathematics and interdisciplinary sciences ๐ŸŒ. With a remarkable academic journey marked by excellence, innovation, and leadership ๐Ÿ†, he has significantly advanced the frontiers of applied mathematics, engineering, and computational modeling ๐Ÿ’ก. His prolific research output, impactful publications ๐Ÿ“š, and global collaborations reflect a relentless passion for solving real-world challenges using mathematical insights ๐Ÿ”Ž. As a dedicated educator ๐Ÿ‘จโ€๐Ÿซ and mentor, Professor Ahmed inspires countless students and researchers to push boundaries and think creatively ๐Ÿš€. His work continues to resonate across academic and industrial spheres, earning him widespread recognition and admiration ๐ŸŒŸ. With a deep commitment to innovation, integrity, and scientific progress ๐Ÿ”, he stands as a beacon of excellence in the international research community ๐ŸŒ. Professor Ahmedโ€™s legacy is one of brilliance, inspiration, and transformative impact โœจ.

Professional Profileย 

Google Scholar
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ORCID Profile

๐Ÿ“˜ Education

Professor Hany Mostafa Ahmedโ€™s academic voyage is a tale of brilliance and perseverance ๐ŸŒŸ. He laid his foundational stones in mathematics with distinction ๐ŸŽ“, advancing through rigorous academic institutions that nurtured his analytical spirit and sharpened his problem-solving acumen ๐Ÿง . With an unwavering thirst for knowledge, he pursued postgraduate studies with a keen focus on applied mathematics and interdisciplinary science ๐Ÿ”. Every step of his journey was marked by academic excellence, earning him recognition as a top-performing scholar ๐Ÿ…. His educational background forms a rich mosaic of theoretical depth and real-world application ๐Ÿ“, enabling him to seamlessly navigate the frontiers of mathematics and engineering. From foundational concepts to complex modeling, his studies have empowered him to make significant strides in research and academia ๐Ÿ“Š. Professor Ahmedโ€™s educational roots have blossomed into a flourishing tree of knowledge, deeply grounded yet reaching boldly toward the future ๐ŸŒณ๐Ÿš€.

๐Ÿ’ผ Professional Experience

Professor Ahmedโ€™s professional path is paved with excellence, innovation, and impact ๐Ÿ’ผโš™๏ธ. With a career spanning esteemed universities and research institutions ๐Ÿ›๏ธ, he has held pivotal roles as a professor, research leader, and mentor ๐Ÿ‘จโ€๐Ÿซ. His portfolio includes spearheading research projects that bridge theory with transformative real-world applications ๐ŸŒ๐Ÿ”ง. A dynamic contributor to both academia and industry, he has served in advisory and leadership roles, bringing visionary strategies to scientific and technological challenges ๐ŸŽฏ. His professional experience reflects not just longevity, but depthโ€”shaped by collaborations across continents and disciplines ๐ŸŒ. Whether mentoring young scholars or leading cutting-edge initiatives, Professor Ahmed demonstrates an unwavering commitment to excellence and progress ๐Ÿš€. His presence in conferences, editorial boards, and international panels speaks volumes of his standing in the global academic community ๐ŸŒŸ. With every milestone, he leaves behind a legacy of wisdom, curiosity, and forward-thinking innovation ๐Ÿงญ๐Ÿ“ˆ.

๐Ÿ”ฌ Research Interest

Professor Ahmedโ€™s research interests are as vibrant and expansive as a mathematical universe in motion ๐ŸŒŒ๐Ÿ“Š. His intellectual curiosity drives him into the depths of applied mathematics, mathematical modeling, and computational methods ๐Ÿ”ข๐Ÿงฎ. Passionate about solving complex real-world problems, he integrates disciplines like physics, engineering, and information theory to craft holistic, data-driven solutions ๐Ÿ”„๐Ÿ”. His innovative mindset has led to pioneering research in nonlinear systems, optimization, and numerical simulation, revealing the hidden structures that govern dynamic systems ๐ŸŽฏ๐Ÿ”ฌ. From theoretical frameworks to computational algorithms, his work breathes life into abstract equations and transforms them into practical tools for science and society ๐Ÿ› ๏ธ๐ŸŒ. With a future-forward approach, Professor Ahmed explores intersections between AI, mathematics, and engineering to foster impactful discoveries ๐Ÿค–๐Ÿ“˜. His research philosophy combines precision, creativity, and utilityโ€”making mathematics not just a subject, but a powerful language of innovation and progress ๐Ÿง โœจ.

๐Ÿ… Award and Honor

A trailblazer in his field, Professor Hany Mostafa Ahmed has been decorated with numerous prestigious awards and honors ๐Ÿ†๐ŸŽ“. These accolades reflect his profound influence on the global research landscape and his unwavering commitment to academic excellence ๐ŸŒŸ. Recognized by leading scientific bodies and institutions, his achievements celebrate groundbreaking discoveries, visionary leadership, and unparalleled scholarly contributions ๐Ÿ“œ๐Ÿ…. Whether through best-paper recognitions, excellence-in-teaching awards, or international fellowships, his accolades speak volumes of a career that has consistently pushed the boundaries of knowledge ๐Ÿš€๐Ÿ“š. Each award he receives is a testament to the passion and dedication he pours into his research, mentorship, and community engagement ๐ŸŒ๐Ÿ‘. His decorated journey inspires both peers and emerging scholars to strive for greatness, making him not only a recipient of honors but a beacon of excellence in the mathematical sciences ๐Ÿงญโœจ. These recognitions form the crown jewels of a legacy still in the making ๐Ÿ‘‘๐Ÿ”.

Conclusion

Professor Hany Mostafa Ahmed stands tall as a luminary in mathematics and beyond ๐ŸŒŸ๐Ÿ“. With an impressive blend of intellect, innovation, and integrity, he continues to illuminate pathways for discovery and impact ๐Ÿš€๐Ÿ“š. His journey from a passionate learner to a globally respected thought leader is a testament to relentless dedication and a visionary mindset ๐Ÿง ๐Ÿ”ฅ. Whether in the classroom, the lab, or the pages of scholarly journals, his presence leaves a lasting imprint on the minds he mentors and the fields he transforms ๐ŸŒ๐Ÿ’ซ. A pioneer at heart, Professor Ahmed thrives at the intersections of theory and application, tradition and transformation ๐Ÿ”„๐Ÿ”ฌ. His legacy is not just measured in accolades, but in the countless minds he inspires and the solutions he crafts for a better world ๐ŸŒฑ๐Ÿ”ง. With every endeavor, he proves that mathematics, when driven by purpose and passion, becomes a force of limitless potential ๐Ÿ’ก๐Ÿงฎ.

ย Publications Top Notes

๐Ÿ“˜ Recent & Noteworthy Publications of Prof. Hany Mostafa Ahmed

  • ๐Ÿ”ฌ Efficient Spectral Galerkin and Collocation Approaches Using Telephone Polynomials for Solving Some Models of Differential Equations with Convergence Analysis
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: R.M. Hafez, H.M. Ahmed, O.M. Alqubori, A.K. Amin, W.M. Abd-Elhameed
    ๐Ÿ—“๏ธ Year: 2025 | ๐Ÿ›๏ธ Journal: Mathematics (Open Access)
    ๐Ÿš€ Highlight: Introduces hybrid spectral techniques with Telephone polynomialsโ€”mathematical speed meets precision!


  • โš™๏ธ New Generalized Jacobiโ€“Galerkin Operational Matrices of Derivatives: An Algorithm for Solving the Time-Fractional Coupled KdV Equations
    ๐Ÿ‘จโ€๐Ÿ”ฌ Author: H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2024 | ๐Ÿ›๏ธ Journal: Boundary Value Problems
    ๐Ÿ”ง Highlight: A solo-authored gem bringing power to fractional calculus using Jacobi polynomial tools!


  • ๐Ÿงฉ Spectral Solutions of Specific Singular Differential Equations Using A Unified Spectral Galerkin-Collocation Algorithm
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: H.M. Ahmed, W.M. Abd-Elhameed
    ๐Ÿ—“๏ธ Year: 2024 | ๐Ÿ›๏ธ Journal: Journal of Nonlinear Mathematical Physics
    ๐Ÿ“ˆ Citations: 8
    โšก Highlight: Tackles singular equations with a robust algorithm fusionโ€”accuracy meets elegance!


  • ๐Ÿ“ Tau and Galerkin Operational Matrices for Singular and Emdenโ€“Fowler Third-Order-Type Equations
    ๐Ÿ‘จโ€๐Ÿ”ฌ Author: W.M. Abd-Elhameed, H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2022 | ๐Ÿ›๏ธ Journal: Int. J. of Modern Physics C
    ๐Ÿ“ˆ Citations: 41
    ๐Ÿ”ญ Highlight: A solid framework blending operational matrices and singular modeling.


  • ๐Ÿงฎ Recurrences and Explicit Formulae in Series of Bessel Polynomials
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: E.H. Doha, H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2004 | ๐Ÿ›๏ธ Journal: Journal of Physics A: Math & General
    ๐Ÿ“ˆ Citations: 34
    ๐Ÿง  Highlight: A foundational work in spectral expansion methods still referenced decades later!


  • ๐ŸŒช๏ธ New Fractional Derivative Expression of Shifted Third-Kind Chebyshev Polynomials
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: Y.H. Youssri, W.M. Abd-Elhameed, H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2022 | ๐Ÿ›๏ธ Journal: Journal of Function Spaces
    ๐Ÿ“ˆ Citations: 30
    โš™๏ธ Highlight: Innovative fractional application to pantograph equationsโ€”where memory meets mathematics.


  • ๐ŸŒ€ Computational Strategy for Nonlinear Time-Fractional Generalized Kawahara Equation
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: H.M. Ahmed, R.M. Hafez, W.M. Abd-Elhameed
    ๐Ÿ—“๏ธ Year: 2024 | ๐Ÿ›๏ธ Journal: Physica Scripta
    ๐Ÿ“ˆ Citations: 23
    ๐ŸŽฏ Highlight: A dynamic spectral method for high-order nonlinear systems.


  • ๐Ÿ“Š Linearization Formulae for Certain Jacobi Polynomials
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: W.M. Abd-Elhameed, E.H. Doha, H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2016 | ๐Ÿ›๏ธ Journal: The Ramanujan Journal
    ๐Ÿ“ˆ Citations: 23
    ๐ŸŒ€ Highlight: Unlocks Jacobi polynomials for modern applications in spectral methods.


  • ๐Ÿ”Ž Explicit Formulae for Integrated Expansions of Laguerre & Hermite Polynomials
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: E.H. Doha, H.M. Ahmed, S.I. El-Soubhy
    ๐Ÿ—“๏ธ Year: 2009 | ๐Ÿ›๏ธ Journal: Integral Transforms and Special Functions
    ๐Ÿ“ˆ Citations: 23
    ๐Ÿงฎ Highlight: A key resource for integral polynomial expansions.


  • ๐Ÿงฑ Coefficients of Differentiated Expansions for Double & Triple Jacobi Polynomials
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: E. Doha, W.M. Abd-Elhameed, H. Ahmed
    ๐Ÿ—“๏ธ Year: 2012 | ๐Ÿ›๏ธ Journal: Bulletin of the Iranian Mathematical Society
    ๐Ÿ“ˆ Citations: 22
    โš™๏ธ Highlight: A multi-level polynomial solution structure for complex systems.


  • ๐Ÿ”ญ Numerical Solutions for Singular Lane-Emden Equations Using Shifted Chebyshev Polynomials
    ๐Ÿ‘จโ€๐Ÿ”ฌ Author: H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2023 | ๐Ÿ›๏ธ Journal: Contemporary Mathematics
    ๐Ÿ“ˆ Citations: 21
    ๐Ÿ”ฅ Highlight: Elegant solution strategies for astrophysical differential models.


  • ๐Ÿ“ˆ New Generalized Jacobi-Galerkin Operational Matrices for Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations
    ๐Ÿ‘จโ€๐Ÿ”ฌ Author: H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2024 | ๐Ÿ›๏ธ Journal: Fractal and Fractional
    ๐Ÿ“ˆ Citations: 13
    ๐ŸŒŠ Highlight: Wave equations meet variable-order fractional operatorsโ€”analytical beauty!


  • ๐ŸŽฏ Enhanced Shifted Jacobi Operational Matrices for Fractional Differential Equations
    ๐Ÿ‘จโ€๐Ÿ”ฌ Author: H.M. Ahmed
    ๐Ÿ—“๏ธ Year: 2024 | ๐Ÿ›๏ธ Journal: Boundary Value Problems
    ๐Ÿ“ˆ Citations: 8
    ๐Ÿง  Highlight: Powerful integral tools for both classical and fractional ODEs.


  • ๐Ÿ’ซ New Shifted Generalized Chebyshev Approach for Multi-Dimensional Sinh-Gordon Equation
    ๐Ÿ‘จโ€๐Ÿ”ฌ Authors: W.M. Abd-Elhameed, H.M. Ahmed, M.A. Zaky, R.M. Hafez
    ๐Ÿ—“๏ธ Year: 2024 | ๐Ÿ›๏ธ Journal: Physica Scripta
    ๐Ÿ“ˆ Citations: 8
    ๐ŸŒ Highlight: Tackles nonlinear multidimensional PDEs with a modern Chebyshev twist.