Available online at: https://jazindia.com 363 Journal of Advanced Zoology ISSN: 0253-7214 Volume 44 Issue S8 Year 2023 Page 363-371 ____________________________________________________________________________________________________________________________ Numerical Modeling of Fluid Flow Through Porous Media: A Modified Crank- Nicolson Approach to Burgers' Equation Tejaskumar Sharma 1 *, Dr. Shreekant Pathak 2 , Gargi Trivedi 3 1*,2 Department of Mathematics, N V Patel College of Pure and Applied Sciences, The Charutar Vidyamandal University, Vallabh Vidhyanagar-388120, India.( 1 tejaskumar.sharma@cvmu.edu.in, 2 shreekant.pathak@cvmu.edu.in ) 3 Department of Applied Mathematics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara, India, (gargi1488@gmail.com) *Corresponding author: Tejaskumar Sharma *Department of Mathematics, N V Patel College of Pure and Applied Sciences, The Charutar Vidyamandal University, Vallabh Vidhyanagar-388120, India, (tejaskumar.sharma@cvmu.edu.in.) CC License CC-BY-NC-SA 4.0 Abstract: This study presents a numerical modeling approach to investigate fluid flow through porous media, focusing on the application of the Modified Crank-Nicolson method to solve the Burgers' equation. The Burgers' equation, known for capturing non-linear features in fluid dynamics, serves as a pertinent model for porous media flow. The Modified Crank- Nicolson method, a variation of the traditional Crank-Nicolson technique, renowned for its stability and accuracy in solving parabolic partial differential equations, is employed to simulate the temporal evolution of fluid flow within the porous medium. Numerical experiments are conducted to explore the dynamic behavior of the system, considering various parameters and boundary conditions. The results showcase the efficacy of the Modified Crank-Nicolson approach in providing insights into the complex phenomena associated with fluid flow through porous media. This research contributes to the broader understanding of numerical methods in porous media dynamics and establishes a foundation for further investigations in related fields. Keywords: Burgers' Equation, Modified Crank–Nicolson Method, Nonlinear Partial Differential Equations, Fluid Dynamics. INTRODUCTION Fluid flow through porous media is a prevalent phenomenon with significant implications for diverse applications, ranging from groundwater hydrology to enhanced oil recovery. The intricate nature of this process, influenced by complex interactions within the porous structure, necessitates advanced numerical modeling techniques for a comprehensive understanding. In this study, we focus on the numerical modeling of fluid flow through porous media, specifically applying the Modified Crank-Nicolson method to solve the Burgers' equation [1]. The Burgers' equation, recognized for its ability to capture non-linear behavior in fluid dynamics, is particularly relevant in the context of porous media flow. Porous media introduce additional complexities, such as