The Finite Volume Method (FVM) is a powerful numerical technique used in solving partial differential equations, especially in the fields of heat transfer and fluid dynamics. This repository contains ...

A numerical wave tank for long wave models (dispersive and non-dispersive) based on the finite volume method. The goal is to test various models and various finite volume schemes. Diffuse Optical ...

Abstract: In this research, we present two Numerical algorithms for studying the dynamics of spatially extended coupled nonlinear reaction-diffusion model. The difference in this work is to model a ...

This paper describes a numerical solution for two dimensional partial differential equations modeling (or arising from) a fluid flow and transport phenomena. The diffusion equation is discretized by ...

ABSTRACT: This paper describes a numerical solution for two dimensional partial differential equations modeling (or arising from) a fluid flow and transport phenomena. The diffusion equation is ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 2 (2012), pp. 574-594 (21 pages) The coupling of the finite volume element method and the boundary element method is an interesting approach to ...

Finite volume methods (FVM) have emerged as a crucial numerical framework for approximating diffusion equations in porous media. These schemes discretise the governing partial differential equations ...

In this paper we formulate and analyze a discretization method for a 2D linear singularly perturbed convection-diffusion problem with a singular perturbation parameter ε. The method is based on a ...