Design And Implementation Of Numerical Methods For Solving Ordinary Differential Equations (A Case Study Of Mathematics Department, Mouau)

ABSTRACT

 The need for this work arises due to the fact that solutions of Ordinary Differential Equations (ODEs) are not easily obtainable. There exist an analytical technique for solving Ordinary Differential Equations but these techniques are only applicable to simple Ordinary Differential Equation. As a result, there was need to automate the numerical solutions using Euler's method, Taylor's method and Runge-Kutta method. In this project, the meaning of differential equation, types, order and solution of differential equations were fully explained. This project also features the comparison of methods of solving Ordinary Differential Equation such as Euler's , Taylor's and Runge-Kutta method along with the development of a software application that solves ordinary differential equations numerically using the above listed methods in order to reduce or even totally eradicate the complexity of numerical solutions.