Lecture Notes in Numerical Methods of Differential Equations

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This Ebook is designed for science and engineering students taking a course in numerical methods of differential equations. Most of the material in this Ebook has its origin based on lecture courses ...
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Chapter 1 Linear Difference Equations

Pp. 1-16 (16)

Tadeusz Stys

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.

Affiliation:

University of Warsaw.