All the codes are distributed under MIT License on GitHub and are free to use, modify, and distribute giving the proper copyright notice. This repository proposes a way to achieve approximations to ...

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

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 ...

Abstract: The generalized finite difference method(GFDM) is a collocation-type meshless method. It is a numerical calculation method that approximates the partial ...

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: 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 ...

ABSTRACT: In this paper a meshless method of lines is proposed for the numerical solution of time-dependent nonlinear coupled partial differential equations. Contrary to mesh oriented methods of lines ...

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 ...

From the automotive sector to production, simulations and digital twins are crucial to many companies. Because conventional software is often inadequate at modeling highly dynamic processes, ...