Lecture Notes in Numerical Methods of Differential Equations

Chapter 1 Linear Difference Equations

Author(s): Tadeusz Stys

Pp: 1-16 (16)

Doi: 10.2174/978160805056710901010001

* (Excluding Mailing and Handling)

Abstract

This chapter constitutes an introduction to linear multi step methods, Runge Kutta methods, and finite difference methods which are presented in the chapters that follow. The homo- geneous and non-homogeneous linear difference equations are solved by the following Mathematica modulae: The module differenceEqn finds the general solution of a linear difference equation, the module baseSolution finds the fundamental set of solutions of a homogeneous linear difference equa- tion, the module particularSolution finds a particular solution of a non-homogeneous linear difference equation by the method of variation of coefficients. The chapter ends with a set of questions.

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