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: 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 ...

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: 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 ...

Abstract: studying minor hysteresis loops helps us understand how magnetization and applied magnetic fields interact in materials. This holds significant importance in the field of material science.

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 ...

SIAM Journal on Numerical Analysis, Vol. 31, No. 2 (Apr., 1994), pp. 324-343 (20 pages) This paper proves the convergence of a general class of monotone finite volume methods for numerical schemes of ...