WIT Press


Numerical Solutions To Arbitrarily Sized Systems Of Coupled First Order Ordinary Differential Equations Using Computer Algebra Software

Price

Free (open access)

Paper DOI

10.2495/SEHE950281

Volume

12

Pages

8

Published

1995

Size

686 kb

Author(s)

P. Mitic & P.O. Thomas

Abstract

This paper describes how computer algebra techniques may be applied to finding numerical solutions to systems of differential equations using some simple iterative methods. The advantages and disadvantages of using computer algebra techniques rather than procedural programming languages such as Pascal and C are assessed. We consider how the student may learn from using computer algebra software, using simple iterative methods to emphasise the general approach and the flexibility of the software. Common examples in engineering are considered. 2. Introduction Mathematica is used to implement the Euler, 4th. order Runge-Kutta and 2nd. order Taylor iterations for approximating a solution to the system of equations

Keywords