GitHub

Finite Volume Method for 1D CFD Simulations

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 ...
GitHub

SEAS40/Finite-Volumes-for-diffusion-problems

This repository contains MATLAB code that implements a 1D Finite Volume Method (FVM) for solving diffusion problems. The FVM is a numerical technique used to approximate solutions to partial ...
Scientific Research Publishing

Appadu, A.R. (2013) Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes. Journal of Applied Mathematics, 2013 ...

ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...
IEEE

Optimizing Computational Efficiency in Numerical Methods: A Comparative Analysis of Algorithms and Implementation in MATLAB

Abstract: This research investigates and compares the overall performance of different numerical methods, and focuses on their accuracy, what will be the convergence rate, and the computational cost ...