Numerical Methods for Solving Some Types of Differential Equations

Abstract

We will Apply this thesis to apply some numerical methods for solving ordinary and partial differential equations. In chapter One we solve numerically some ordinary differential equations using Euler and improved Euler methods, then we apply Runge Kutta method. In chapter Two, we find the numerical solution for systems of ordinary differential equation using same methods used in chapter one. We discuss some ways for the solution of partial differential equation using finite difference methods; In particular we solve a parabolic type of PDEs namely the heat equation using Explicit, Implicit and Crank Nicholson method. For the solution we use the programming language (Matlab) and we write some programs in The appendix.