Abstract: We present the generalized finite-difference time-domain full-vectorial method by reformulating the time-dependent Maxwell's curl equations with electric flux density and magnetic field ...

This repository contains the implementation of the Generalized Finite Difference Method (GFDM) for solving partial differential equations, specifically focusing on groundwater flow applications.

Abstract: The generalized finite difference method is applied to the advection problem. An optimization regarding choice of RBF function has been performed. Theoretical problems in 1D and 2D have been ...

ABSTRACT: In this paper, we propose new finite volume element schemes to numerically solve the improved Boussinesq equation with Stokes damping. The new schemes can inherit characteristic properties ...

ABSTRACT: In this article, a finite volume element algorithm is presented and discussed for the numerical solutions of a time-fractional nonlinear fourth-order diffusion equation with time delay. By ...

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 ...

The generalized local maximum principle for a difference operator $L_h$ asserts that if $L_hu(x) > 0$ then $\Gamma u$ cannot attain its positive maximum at the net ...

This repository contains a collection of MATLAB functions designed to price various types of options using finite difference methods and iterative solvers. SOR Gauss-Seidel Method: Enhances the ...