Difference Equations from Differential Equations by Wilbert J. LickDifference Equations from Differential Equations by Wilbert J. Lick

Difference Equations from Differential Equations

byWilbert J. Lick

Paperback | March 2, 1989

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The primary purpose of this text is to illustrate the derivation of difference equations from differential equations using the volume integral method. In this method, the region of interest is divided into finite volume elements. The governing equations are then integrated over each of these elements. In order to form a difference equation, the terms in the resulting equations must be analytically approximated as well as possible. Various approaches to do this, including Taylor series expansions, have been developed and are illustrated in the text. The notes illustrate the applications of these ideas to ordinary and partial differential equations as well as some more specific applied problems. They have been used for an introductory course on numerical methods at the graduate level at the University of California, Santa Barbara.
Title:Difference Equations from Differential EquationsFormat:PaperbackDimensions:292 pagesPublished:March 2, 1989Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540507396

ISBN - 13:9783540507390

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Table of Contents

Contents: Ordinary Differential Equations.- Parabolic Equations.- Hyperbolic Equations.- Elliptic Equations.- Applications.- General References.- Appendix A.- Appendix B.