Abstract
In the two preceding chapters we have devoted considerable attention to various aspects of boundary value problems. The stage has now been reached where we can quite justifiably ask: how does one actually obtain solutions? The answer is rather disappointing, unfortunately; except for problems involving very simple PDEs and geometries, it is quite impossible, using existing methods, to obtain exact solutions to most BVPs in either the conventional or variational formulations.
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© 1998 Springer Science+Business Media New York
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Reddy, B.D. (1998). Approximate methods of solution. In: Introductory Functional Analysis. Texts in Applied Mathematics, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0575-3_11
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DOI: https://doi.org/10.1007/978-1-4612-0575-3_11
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