Numerical solution of a singular integro-differential equation

被引：0

作者：

Chakrabarti, A ^{[1
]}

Hamsapriye ^{[1
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1999年 / 79卷 / 04期

关键词：

Cauchy principal value; Cauchy singular integro-differential equation; Chebyshev polynomials; interpolatory projection maps;

D O I：

10.1002/(SICI)1521-4001(199904)79:4<233::AID-ZAMM233>3.3.CO;2-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical solution is obtained for the singular integro-differential equation [GRAPHICS] with an antisymmetric forcing function f(x) (i.e. f(-x) = -f(x)), With end conditions phi(-1) = phi(1) = 0, by three different methods, the two first of which presented here, produce the solution as accurate as the one obtained by FRANKEL (see [7]), recently. The convergence of the first method discussed in section 2. is also analysed.

引用

页码：233 / 241

页数：9

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