Manoj Solanki

Codes of Finite Difference for ODE and PDE

Project Abstract

We have developed Python codes using Finite Difference Methods (FDM) to solve ODEs and PDEs efficiently. For parabolic PDEs, we implement FTCS, BTCS, and Crank-Nicholson methods for heat and diffusion problems. For hyperbolic PDEs, we use explicit schemes for wave propagation. For elliptic PDEs, we apply Jacobi, Gauss-Seidel, and SOR methods for steady-state solutions. Using Matplotlib, we visualize results through contour, surface, and time evolution plots, ensuring accuracy and efficiency for researchers and professionals.

Project Supervisor

Prof. ASV RAVI KANTH