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An Algorithm for Solving Boundary Value Problems

✍ Scribed by Elias Deeba; S.A. Khuri; Shishen Xie

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
83 KB
Volume
159
Category
Article
ISSN
0021-9991

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✦ Synopsis

In this paper a numerical algorithm, based on the decomposition technique, is presented for solving a class of nonlinear boundary value problems. The method is implemented for well-known examples, including Troesch's and Bratu's problems which have been extensively studied. The scheme is shown to be highly accurate, and only a few terms are required to obtain accurate computable solutions.

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The purpose of this paper is to construct solutions of self-adjoint boundary value problems on finite networks. To this end, we obtain explicit expressions of the Green functions for all different boundary value problems. The method consists of reducing each boundary value problem either to a Dirich