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.