A Stable Explicit Scheme for Solving Non-Homogeneous Constant Coefficients Equation using Green's Function

TL;DR

This paper introduces a stable explicit numerical scheme for solving non-homogeneous linear PDEs with constant coefficients, utilizing Green's function to efficiently compute transient solutions.

Contribution

The paper presents a novel explicit method that improves stability and efficiency in solving non-homogeneous linear PDEs with constant coefficients.

Findings

The scheme provides stable solutions for transient problems.

It simplifies the computation of Green's function-based solutions.

The method enhances accuracy over traditional explicit schemes.

Abstract

A numerical explicit method to evaluates transient solutions of linear partial differential non-homogeneous equation with constant coefficients is proposed.