This project demonstrates the numerical solution of the 2D Helmholtz equation for various waveguide geometries—rectangular, trapezoidal, circular, and elliptical—using the Finite Difference Method ...

Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...

Abstract: We develop a numerical solution algorithm of the nonlinear potential flow equations with the nonlinear free surface boundary condition. A finite difference method with a predictor-corrector ...

Abstract: Some new liberalized semi implicit finite-difference method is proposed in this paper to solve one dimensional Burgers equation. Numerical results obtained by the present methods have been ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...