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Difference Equations from Differential Equations pp 219–272Cite as

Applications

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Part of the book series: Lecture Notes in Engineering ((LNENG,volume 41))

Abstract

In the present chapter, the ideas and algorithms developed in the previous chapters are applied to specific problems of practical interest. The purpose is to demonstrate the use of the basic methods and the interactions between the physical and mathematical formulations of the problem. Each section begins with a brief description of a problem, especially emphasizing certain aspects of the problem which need to be approximated in order to obtain an accurate numerical solution in a reasonable amount of computer time. The reason for this emphasis is that it is believed that a good physical understanding of the problem formulation and its solution are useful in the derivation of the most appropriate difference equations and in obtaining an accurate numerical solution. After this discussion of the formulation, the appropriate differential and difference equations, the solution of these equations, and a brief discussion of the results, especially as they are related to the numerical approximations inherent in the solution to the problem, are presented.

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Authors and Affiliations

  1. Dept. of Mechanical and Environmental Engineering, University of California, 93106, Santa Barbara, CA, USA

    Prof. Wilbert James Lick

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  1. Prof. Wilbert James Lick
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© 1989 Springer-Verlag Berlin, Heidelberg

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Lick, W.J. (1989). Applications. In: Difference Equations from Differential Equations. Lecture Notes in Engineering, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83701-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-83701-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50739-0

  • Online ISBN: 978-3-642-83701-2

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