Alternate Methods of Solution for Heat and Wave Equation Problems

David J. Wollkind () and Bonni J. Dichone
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David J. Wollkind: Washington State University, Department of Mathematics
Bonni J. Dichone: Gonzaga University, Department of Mathematics

Chapter Chapter 20 in Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences, 2017, pp 543-556 from Springer

Abstract: Abstract In this chapter, the Laplace transform (first introduced in Chapter 7 ) method of solution is employed to solve the problems of heat conduction in a laterally insulated semi-infinite or infinite bar that had been solved by a similarity solution method in Chapter 6 and Problem 6.1 , respectively. The Laplace transform method of solving the latter problem involves the use of a Dirac delta function which is introduced in a pastoral interlude. Then the sound wave problem, the solution of which had been obtained in Chapter 12 by employing D’Alembert’s characteristic coordinate method, is solved by using a Fourier integral approach.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-73518-4_20

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DOI: 10.1007/978-3-319-73518-4_20

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