Abstract
The goal of this final chapter is to show how the boundary value problems of mathematical physics can be solved by the methods of the preceding chapters. This will be done by solving a variety of specific problems that illustrate the principal types of problems that were formulated in Chapter 7. Additional applications are developed in the Exercises. The primary solution method is Fourier’s method of separation of variables and the associated Sturm-Liouville theory of Chapter 8.
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© 1998 Springer Science+Business Media New York
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Gustafson, G.B., Wilcox, C.H. (1998). Boundary Value Problems of Mathematical Physics. In: Analytical and Computational Methods of Advanced Engineering Mathematics. Texts in Applied Mathematics, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0633-0_9
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DOI: https://doi.org/10.1007/978-1-4612-0633-0_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6847-5
Online ISBN: 978-1-4612-0633-0
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