Pavan Patel, Pranjal Prasad, and Saroj R. Yadav, Locally adaptive Physics-Informed Neural Networks for nonlinear partial differential equations, Chaos, Solitons & Fractals, Vol. 213 (2026). [Link]
Pavan Patel, Nagesh Sahu, and Saroj R. Yadav, Hard and soft Reynolds-parameterized physics-informed neural networks to investigate momentum and heat transfer in turbine cooling, International Journal of Mechanics and Materials in Design, Vol. 22 (3) (2026). [Link]
Nagesh Sahu, M. F. El-Amin, and Saroj R. Yadav, Analytical Analysis of the Impact of Capillary Pressure Nonlinearity on Counter-Current Imbibition, Fluid Dynamics, Vol. 61 (4) (2026). [Link]
Pavan Patel and Saroj R. Yadav, Application of physics-informed neural networks for solving water penetration problems in unsaturated soils, Engineering with Computers, Vol. 42 (1) (2026). [Link]
Pavan Patel and Saroj R. Yadav, Physics informed neural networks simulation of fingering instabilities arising during immiscible and miscible multiphase flow in oil recovery processes, Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 35 (7) (2025). [Link]
Pavan Patel, Saroj R. Yadav, M. F. El-Amin, and M. Yıldız, Prediction by machine learning in nanoparticles-based enhanced oil recovery, Mathematical Modelling and Numerical Simulation with Applications, Vol. 4 (4) (2024). [Link]
Saroj R. Yadav and P. T. Parmar, Solution of diffusion equations involved in drying fruit slice using reduced differential transform method, IAENG International Journal of Applied Mathematics, Vol. 54 (5) (2024). [Link]
Saroj R. Yadav and M. N. Mehta, Analytical Approximate Expression for Cocurrent Imbibition during Immiscible Two-Phase Flow through Porous Media, Mathematical Problems in Engineering, Vol. 2014 (1) (2014). [Link]
M. N. Mehta and Saroj R. Yadav, An Approximate Analytical Expression Predicting Fingering, International Journal of Pure & Applied Sciences & Technology, Vol. 5 (1) (2011). [Link]
M. N. Mehta and Saroj R. Yadav, Classical Solution of Non-Linear Equations Arising in Fluid Flow through Homogenous Porous Media, SVNIT, Surat, (2009). [Link]
M. N. Mehta and Saroj R. Yadav, Approximate analytical expression for phase saturation of injected fluid during fingero-imbibition phenomenon, International Journal of Applied Mathematics, Vol. 22 (1) (2009). [Link]
Saroj R. Yadav and M. N. Mehta, Mathematical model and similarity solution of countercurrent imbibition phenomenon in banded Porous matrix, Int. J. Appl. Math. Mech, Vol. 5 (5) (2009). [Link]
M. N. Mehta and Saroj R. Yadav, Solution of Longitudinal Dispersion Phenomena occurring in two phase flow through Porous Media, Journal of Indian Academy of Mathematics, Vol. 30 (2) (2008). [Link]
M. N. Mehta and Saroj R. Yadav, Analytical Approximate expression for Primary Imbibition front in Homogeneous Porous Media, International Journal of Mathematical Sciences and Engineering Applications Vol 2(2), (2008). [Link]
M. N. Mehta and Saroj R. Yadav, Solution of problem arising during vertical groundwater recharge by spreading in slightly saturated porous media, Journal of Ultra Scientist of Physical Sciences, Vol. 19 (3) (2007). [Link]