Dilip Kumar Jaiswal | Hydrodynamics | Research Excellence Award

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Prof. Dilip Kumar Jaiswal | Hydrodynamics | Research Excellence Award

Shri Ramswaroop Memorial University | India

Dr. Dilip Kumar Jaiswal is an established researcher in applied mathematics with a specialized focus on hydrodynamic dispersion, advection–diffusion modelling, and solute transport in porous media. With over 18 years of research experience, his work integrates analytical modeling, contaminant transport theory, groundwater pollution studies, and advanced differential equation techniques. He has successfully completed major research projects under the Council of Science & Technology, Uttar Pradesh, and SRMU consultancy schemes, addressing temporally and spatially dependent dispersion, periodic boundary effects, and heterogeneous porous systems. His ongoing international project with the University of Technology and Applied Sciences, Oman focuses on analytical and fuzzy modelling of pollutant transport in groundwater, demonstrating his expertise in contemporary environmental modelling. Dr. Jaiswal has produced 35+ peer-reviewed research papers in reputed journals such as Journal of Hydrology, Hydrological Sciences Journal, Journal of Earth System Science, Environmental Earth Sciences, and ASCE Journal of Hydrologic Engineering. His most-cited works involve analytical solutions for advection–diffusion equations with variable coefficients and periodic flow conditions. He has supervised multiple Ph.D. scholars, reviewed Ph.D. theses, and actively contributes as a reviewer for leading journals including Elsevier, Springer, Taylor & Francis, and Wiley. His research contributions significantly advance theoretical and applied hydrology, contaminant migration modeling, and mathematical frameworks for groundwater studies.

Profile: Google Scholar

Featured Publications

Kumar, A., Jaiswal, D. K., & Kumar, N. (2010). Analytical solutions to one-dimensional advection–diffusion equation with variable coefficients in semi-infinite media. Journal of Hydrology, 380(3–4), 330–337.

Kumar, A., Jaiswal, D. K., & Kumar, N. (2009). Analytical solutions of one-dimensional advection-diffusion equation with variable coefficients in a finite domain. Journal of Earth System Science, 118(5), 539–549.

Jaiswal, D. K., Kumar, A., & Yadav, R. R. (2011). Analytical solution to the one-dimensional advection-diffusion equation with temporally dependent coefficients. Journal of Water Resource and Protection, 3(1), 76–84.

Jaiswal, D. K., Kumar, A., Kumar, N., & Yadav, R. R. (2009). Analytical solutions for temporally and spatially dependent solute dispersion of pulse-type input concentration in one-dimensional semi-infinite media. Journal of Hydro-Environment Research, 2(4), 254–263.

Jaiswal, D. K., Kumar, A., Kumar, N., & Singh, M. K. (2011). Solute transport along temporally and spatially dependent flows through horizontal semi-infinite media: Dispersion proportional to square of velocity. Journal of Hydrologic Engineering, 16(3), 228–238.

Aishwarya Jaiswal | Numerical Analysis | Best Researcher Award

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Ms. Aishwarya Jaiswal | Numerical Analysis | Best Researcher Award

IIT BHU| India

Aishwarya Jaiswal is a dedicated researcher in numerical analysis of partial differential equations, contributing to the advancement of efficient and uniformly convergent computational methods. With strong academic preparation in mathematics and computing from premier Indian institutes, she has developed expertise in numerical schemes for singularly perturbed systems, convection–diffusion models, parabolic reaction–diffusion equations, and multiscale interface problems. Her scholarly output includes multiple peer-reviewed publications in international journals, supported by citation metrics that reflect early research impact, including 1 citation, 1 h-index, and 0 i10-index, along with 1 indexed document. She has worked on diverse research themes such as boundary and interior layer phenomena, component-wise splitting algorithms, higher-order numerical schemes, and efficient discretization techniques. Her academic journey includes hands-on research experience through conference presentations, workshops, and collaborative visits at reputed institutions, contributing to global knowledge exchange in applied mathematics. Her interests span numerical PDEs, error analysis, computational methods, and scientific computing. She has been recognized with prestigious competitive awards, including highly regarded research fellowships that support her doctoral investigations. Through her continued focus on accuracy, robustness, and computational efficiency, she aims to contribute impactful advancements to the field of numerical mathematics and applied scientific computation.

Profile: Google Scholar

Featured Publications

Jaiswal, A., Kumar, S., & Ramos, H. Boundary and interior layer phenomena in coupled multiscale parabolic convection–diffusion interface problems: Efficient numerical resolution and analysis. International Journal of Numerical Methods for Heat & Fluid Flow., Cited by: 1

Jaiswal, A., Kumar, S., & Clavero, C. Efficient component-wise splitting approach to solve coupled singularly perturbed parabolic reaction–diffusion systems with interior layers. Numerical Algorithms.

Jaiswal, A., Kumar, S., & Ramos, H. Efficient uniformly convergent numerical methods for singularly perturbed parabolic reaction–diffusion systems with discontinuous source term. Journal of Applied Mathematics and Computing.

Jaiswal, A., Kumar, S., & Kumar, S. A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations. Computational and Applied Mathematics, 42(6), 278.

Sarishti Singh | Mathematics | Best Researcher Award

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Dr. Sarishti Singh | Mathematics | Best Researcher Award

Indian Institute of Technology Kharagpur | India

Dr. Sarishti Singh is a researcher in Mathematics at the Indian Institute of Technology Kharagpur, specializing in interval analysis and matrix theory. Her work focuses on understanding uncertainty in real-world computational models by developing analytical tools for interval matrices, generalized eigenvalue problems, singular value decomposition enclosures, and sensitivity behavior in portfolio optimization models. She has contributed to several international, peer-reviewed journals in applied mathematics and computational sciences, with her research gaining a steady academic impact. According to Google Scholar, she has 14 citations, an h-index of 2, and 2 indexed documents, reflecting growing recognition in her research domain. She completed her Bachelor’s and Master’s degrees in Mathematics from Panjab University before pursuing a doctoral research program at IIT Kharagpur under experienced academic guidance. During her doctoral period, she served as a Teaching Assistant and gained experience mentoring students in mathematics coursework. She has also been awarded prestigious competitive national fellowships supporting her research progress. Additionally, she has presented her findings at international conferences and contributes to scholarly reviewing activities. Her ongoing work continues to extend interval analytical techniques to optimization and linear algebraic systems, aiming to support more robust computational modeling and decision-making under uncertainty.

Profile: Google Scholar

Featured Publications

Singh, S., & Panda, G. (2023). Generalized eigenvalue problem for interval matrices. Archiv der Mathematik, 121(3), 267–278.

Singh, S., & Panda, G. (2024). SVD enclosure of a class of interval matrices. Information Sciences, 666, 120386.

Singh, S., & Panda, G. (2025). Eigenvalue bounds and Perron-Frobenius theory for nonnegative or positive interval matrices. Applied Mathematics and Computation, 495, 129329.

Singh, S., & Panda, G. (2025). Bounding the solution set of overdetermined system of interval linear equations. Bulletin of the Iranian Mathematical Society, 51(2), 23.

Singh, S., & Panda, G. (2025). On the sensitivity of some portfolio optimization models using interval analysis. OPSEARCH, 62(1), 77–103.

Shravan Kumar Rudrabhatla | Mathematics | Best Researcher Award

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Assist. Prof. Dr. Shravan Kumar Rudrabhatla | Mathematics | Best Researcher Award

Anurag University | India

Dr. Shravan Kumar R is an emerging researcher in the field of Fluid Dynamics and Artificial Neural Networks, currently serving as an Assistant Professor at Anurag University. He earned his Ph.D. from the National Institute of Technology, Warangal, where his work focused on the artificial neural network treatment of Casson fluid flow over a radially stretching sheet. His academic foundation includes an M.Sc. in Applied Mathematics from NIT Warangal and a B.Ed. and B.Sc. from Kakatiya University. His research interests encompass fluid dynamics, differential equations, and computational modelling using deep learning techniques. Dr. Kumar has published several impactful papers in reputed journals such as the Journal of Thermal Analysis and Calorimetry, International Journal of Applied and Computational Mathematics, and European Journal of Mechanics – B/Fluids. His scholarly output has achieved an h-index of 3, i10-index of 2, and 50 citations as per Google Scholar. A recipient of strong academic distinctions, including qualifying the SET and securing a top rank in GATE, he has actively participated in conferences, FDPs, and workshops on mathematics, AI, and machine learning. Dr. Kumar continues to integrate neural networks with fluid mechanics, contributing toward advancing computational mathematics and intelligent simulation methods.

Profile: Google Scholar

Featured Publications

Srinivasacharya, D., & Kumar, R. S. (2022). Artificial neural network modeling of the Casson fluid flow over unsteady radially stretching sheet with Soret and Dufour effects. Journal of Thermal Analysis and Calorimetry, 147(24), 14891–14903. https://doi.org/10.1007/s10973-022-XXXXX-X

Srinivasacharya, D., & Kumar, R. S. (2023). An artificial neural network solution for the Casson fluid flow past a radially stretching sheet with magnetic and radiation effect. Mathematical Models and Computer Simulations, 15(5), 944–955. https://doi.org/10.1134/S207004822305XXX

Srinivasacharya, D., & Kumar, R. S. (2023). Neural network analysis for bioconvection flow of Casson fluid over a vertically extending sheet. International Journal of Applied and Computational Mathematics, 9(5), 80. https://doi.org/10.1007/s40819-023-016XX-X

Nallpu, S., Sneha, G. S., & Kumar, R. S. (2018). Effect of slip on Jeffrey fluid flow through an inclination tube. Journal of Physics: Conference Series, 1000(1), 012041. https://doi.org/10.1088/1742-6596/1000/1/012041

Rudrabhatla, S. K., & Srinivasacharya, D. (2025). Deep learning framework for Casson fluid flow: A PINN approach to heat and mass transfer with chemical reaction and viscous dissipation. European Journal of Mechanics – B/Fluids, 204401. https://doi.org/10.1016/j.euromechflu.2025.204401

Salahuddin | Mathematics | Best Academic Researcher Award

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Assoc. Prof. Dr. Salahuddin | Mathematics | Best Academic Researcher Award

Amet University | India

Dr. Salahuddin is an accomplished academic and researcher currently serving as an Associate Professor in the Department of Mathematics at AMET University, Chennai. He holds a Ph.D. in Mathematics and an M.Tech in Computer Sciences, with a distinguished academic and research career spanning over two decades. His extensive experience includes 21 years of teaching, research, and administrative leadership, having served as Head of the Department of Mathematics and Applied Sciences at PDM University, Haryana. With 204 research papers published in reputed journals, 4 books, and 6 book chapters to his credit, Dr. Salahuddin has made significant contributions to areas such as Special Functions, Statistical Analysis, Bio-Statistics, Computer Graphics, and Fuzzy Logic. He has guided Ph.D. and postgraduate students, developed M.Sc. Mathematics curricula, and is proficient in various statistical and mathematical software tools. His work has been recognized through numerous national research and excellence awards. According to Google Scholar, Dr. Salahuddin has received 125 citations, with an h-index of 6 and an i10-index of 3, reflecting his impactful scholarly contributions. His ongoing research continues to integrate mathematical theory with computational applications, promoting innovation and excellence in mathematical sciences.

Profile: Google Scholar

Featured Publication

Arora, A., Singh, R., & Salahuddin. (2008). Development of a summation formulae of half argument using Gauss and Bailey Theorems. Journal of Rajasthan Academy of Physical Sciences, 7(3), 335–342.

Srivastava, H. M., Srivastava, R., Chaudhary, M. P., & Salahuddin. (2020). A family of theta-function identities based upon combinatorial partition identities related to Jacobi’s triple-product identity. Mathematics, 8, 1–14.

Salahuddin, & Khola, R. K. (2014). New hypergeometric summation formulae arising from the summation formulae of Prudnikov. South Asian Journal of Mathematics, 4(4), 192–196.

Salahuddin. (2011). A new summation formula allied with hypergeometric function. Global Journal of Science Frontier Research, 11(6), 21–37.

Salahuddin, & Chaudhary, M. P. (2010). Development of some summation formulae using hypergeometric function. Global Journal of Science Frontier Research, 10(1), 36–48.

Dilbag Singh | Mathematics | Best Researcher Award

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Assist. Prof. Dr. Dilbag Singh | Mathematics | Best Researcher Award

Panjab University | India

Dr. Dilbag Singh Kahlon is an accomplished academic and researcher in the field of mathematics, currently serving as an Assistant Professor at Panjab University, Chandigarh. With a strong foundation in applied mathematics, his work primarily focuses on wave propagation, elasticity, and ultrasonic methods for structural health monitoring. He has been actively involved in international research collaborations and has contributed extensively to scholarly literature. His academic journey and global research exposure have positioned him as a recognized expert in mathematical modeling related to nondestructive evaluation, earning respect in both academic and research communities.

Professional Profile

Google Scholar

Education

Dr. Kahlon pursued his education in mathematics from Panjab University, where he completed his undergraduate and postgraduate studies with honors. He later earned his doctorate in mathematics, focusing on dynamical problems in micropolar elasticity. His academic training has been deeply rooted in mathematical theories and their applications, particularly in wave mechanics. Throughout his educational journey, he was supported by prestigious national fellowships and maintained a consistent academic record. His academic background laid a strong foundation for his later research in applied mathematics, particularly in elasticity, wave propagation, and computational methods.

Professional Experience

Dr. Kahlon has held teaching and research positions in both India and Europe. He is presently a faculty member in the Department of Mathematics at Panjab University. Prior to this, he was engaged in postdoctoral research in France at prestigious institutions, where he developed mathematical models using ultrasonic guided waves. His research also involved solving inverse problems in defect sizing of composite materials. These professional experiences have equipped him with practical skills in finite element modeling and a deep understanding of mathematical applications in physical systems, which he integrates into both teaching and research.

Awards and Recognition

Dr. Kahlon has received numerous fellowships and recognitions throughout his academic and research career. He was awarded postdoctoral fellowships by premier French institutions and received national research fellowships during his doctoral studies. Additionally, he was granted a startup research fund and participated in an international research grant, contributing as a co-investigator. He has also earned academic distinctions during his undergraduate studies and secured travel grants to present his work at international conferences. His achievements reflect his dedication to scientific excellence and his growing influence in applied mathematics and engineering research.

Research Skills

Dr. Kahlon’s research skills span a wide range of mathematical and computational techniques. He is an expert in finite element modeling and has applied these methods extensively to study wave propagation in elastic and microstructured media. His work includes the use of guided waves for detecting structural defects, modeling wave interactions in complex materials, and solving inverse problems. He is proficient in scientific computing using tools such as MATLAB, FORTRAN, Mathematica, and COMSOL. His multidisciplinary research is supported by strong collaborations with international institutions, enhancing the practical impact of his theoretical contributions.

Notable Publications

Waves in Nonlocal Elastic Solid with Voids
Author: D Singh, G Kaur, SK Tomar
Journal: Journal of Elasticity, 1-30
Year: 2017
Citations: 132

Sizing of Impact Damages in Composite Materials Using Ultrasonic Guided Waves
Author: M Castaings, D Singh, P Viot
Journal: NDT & E International 46, 22-31
Year: 2012
Citations: 95

Rayleigh-Type Wave in a Nonlocal Elastic Solid with Voids
Author: G Kaur, D Singh, SK Tomar
Journal: European Journal of Mechanics – A/Solids 71, 134-150
Year: 2018
Citations: 59

Love Waves in a Nonlocal Elastic Media with Voids
Author: G Kaur, D Singh, SK Tomar
Journal: Journal of Vibration and Control, 1-14
Year: 2019
Citations: 41

Sizing Strip-Like Defects in Plates Using Guided Waves
Author: D Singh, M Castaings, C Bacon
Journal: NDT & E International 44 (5), 394-404
Year: 2011
Citations: 32

Conclusion

Dr. Kahlon’s academic and research journey reflects a deep commitment to advancing mathematical science and its practical applications. Through teaching, mentoring, and collaborative research, he continues to contribute to the field of applied mathematics with a special focus on elasticity and wave mechanics. His international exposure and interdisciplinary collaborations have enriched his perspective and broadened the scope of his work. As a dedicated educator and researcher, he remains actively engaged in both academic and scientific communities, striving to develop innovative solutions in mathematical modeling and structural health monitoring.

B N Mandal | Mathematics | Best Researcher Award

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Prof. Dr. B N Mandal | Mathematics | Best Researcher Award

Indian Statistical Institute, India

Author Profile

SCOPUS

ORCID

🎓 EARLY ACADEMIC PURSUITS

Dr. B. N. Mandal laid a strong foundation for his academic career through rigorous training in Mathematics from the University of Calcutta. Excelling in both undergraduate and postgraduate programs, he specialized in Applied Mathematics with a focus on Geodesy and Geophysics, emerging as a top-ranking scholar. His doctoral work in Continuum Mechanics marked the beginning of a lifelong journey into advanced mathematical problem-solving and research.

🏢 PROFESSIONAL ENDEAVORS

Dr. Mandal’s academic trajectory spans over five decades, during which he served in esteemed institutions including Calcutta University, Indian Statistical Institute (ISI), Jadavpur University, Visva-Bharati, and Sikkim Manipal University. As Professor of Applied Mathematics at ISI, he contributed significantly to pedagogy, research mentorship, and institutional development. Post-retirement, he remained actively engaged as Honorary Visiting Professor and Senior Scientist under NASI, reflecting his unwavering commitment to academic excellence.

📚 CONTRIBUTIONS AND RESEARCH FOCUS IN MATHEMATICS

Dr. Mandal’s research revolves around several core areas in mathematics, prominently:

  • Integral Equations and Transforms

  • Continuum Mechanics: Focus on fluid dynamics, elasticity, and wave propagation.

  • Water Wave Theory: Diffraction, scattering, and surface wave modeling.

  • Wavelets and Optimization Techniques

  • Operations Research: Queuing theory, inventory models, and applied optimization.

With a unique blend of theoretical analysis and practical modeling, his work bridges classical mathematical physics and modern computational approaches.

🏅 ACCOLADES AND RECOGNITION

  • Fellow of the National Academy of Sciences, India (FNASc)

  • Fellow of the Institute of Mathematics and Its Applications, UK (FIMA, C. Math)

  • Fellow of the Wessex Institute of Great Britain (FWIGB)

  • Recipient of Multiple Gold & Silver Medals from the University of Calcutta

  • Commonwealth Fellow, University of Manchester, UK

🌍 IMPACT AND INFLUENCE

Dr. Mandal has supervised 28 Ph.D. scholars, many of whom have received prestigious postdoctoral fellowships like NBHM and DS Kothari. His influence extends internationally through collaborative research, editorial leadership, and participation in academic exchanges, such as the Commonwealth Fellowship and INSA-Royal Society programs. His work has significantly advanced the understanding of complex physical systems using mathematical frameworks.

🧭 LEGACY AND FUTURE CONTRIBUTIONS

Dr. B. N. Mandal has not only contributed prolific research but also nurtured a generation of mathematicians. His continued collaboration on research projects and Ph.D. supervision, even after formal retirement, underlines his enduring impact. With ongoing supervision and a book published through e-Pathshala (MHRD-UGC), his influence is embedded in both academic curricula and national research agendas.

 ✅CONCLUSION

Dr. B. N. Mandal stands as a towering figure in Applied Mathematics, known for integrating mathematical theory with real-world scientific challenges. His legacy lies in his scholarly depth, interdisciplinary reach, and dedication to fostering mathematical inquiry across generations. A prolific scholar, visionary mentor, and global academic contributor, Dr. Mandal’s work continues to reshape modern applied mathematical sciences.

🔬NOTABLE PUBLICATION:

Title: Impact of bottom explosions on wave formation in the presence of an inertial surface and wave current in a viscous fluid
Author: B. N. Mandal
Journal: Physics of Fluids
Year: 2024

Title: The influence of bottom disturbances on wave generation in a viscous liquid in the presence of uniform current
Author: B. N. Mandal
Journal: Ocean Engineering
Year: 2024

Title: Wave scattering by ⊓-shaped breakwaters in finite depth water
Author: B. N. Mandal
Journal: Applied Ocean Research
Year: 2024

Title: Cauchy–Poisson problem of wave propagation in an ocean with an elastic bottom
Author: B. N. Mandal
Journal: Journal of Applied Mechanics and Technical Physics
Year: 2023

Title: Gravity waves generated by an oscillatory surface pressure in a two-layer fluid with a porous bottom
Author: B. N. Mandal
Journal: Journal of Engineering Mathematics
Year: 2023