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On the approximate solution of some two-dimensional singular integral equations

✍ Scribed by V. D. Didenko; B. Silbermann

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
120 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

An approximation method for a wide class of two‐dimensional integral equations is proposed. The method is based on using a special function system. Orthonormality and good interaction with fundamental integral operators arising in partial differential equations are remarkable properties of this system. In addition, all the basis elements can easily be calculated by recurrence relations. Taking into account these properties we construct a numerical algorithm which does not require additional effort (such as quadrature) to compute the values of the fundamental operators on the basis elements. Copyright Β© 2001 John Wiley & Sons, Ltd.

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