Numerical Methods Package for Partial Differential Equations

A comprehensive numerical solutions package for partial Differential Equations including Laplace, convection, and diffusion equations with various implementation methods

Solving Convection Equation Using Upwind Scheme

This MATLAB program implements the upwind scheme to solve convection equations, which have broad engineering applications. The upwind scheme offers high numerical accuracy and is complemented by a leapfrog scheme implementation for solving diffusion equation initial value problems, providing two distinct computational approaches.