A collocation method for solving singular integro-differential equations
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2010
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| Resumo |
This paper describes a collocation method for numerically solving Cauchy-type linear singular integro-differential equations. The numerical method is based on the transformation of the integro-differential equation into an integral equation, and then applying a collocation method to solve the latter. The collocation points are chosen as the Chebyshev nodes. Uniform convergence of the resulting method is then discussed. Numerical examples are presented and solved by the numerical techniques. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fapesp[2004/16064-9] CNPq[301787/2008-5] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) |
| Identificador |
BIT NUMERICAL MATHEMATICS, v.50, n.3, p.657-688, 2010 0006-3835 http://producao.usp.br/handle/BDPI/28911 10.1007/s10543-010-0268-2 |
| Idioma(s) |
eng |
| Publicador |
SPRINGER |
| Relação |
Bit Numerical Mathematics |
| Direitos |
restrictedAccess Copyright SPRINGER |
| Palavras-Chave | #Integro-differential equation #Collocation method #Cauchy singular integral-equation #UNIFORM-CONVERGENCE #INTEGRAL-EQUATIONS #FAST ALGORITHM #Computer Science, Software Engineering #Mathematics, Applied |
| Tipo |
article original article publishedVersion |
