A collocation method for solving singular integro-differential equations

Autor(es)

Nagamine, Andre ^[1] ; Alberto Cuminato, Jose ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Santa Cruz, Ilheus, BA - Brazil

^[2] Univ Sao Paulo, ICMC, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: BIT NUMERICAL MATHEMATICS; v. 50, n. 3, p. 657-688, SEP 2010.
• Citações Web of Science: 0

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. (AU)

• Processo FAPESP: 04/16064-9 - Mecânica dos fluídos não estacionária: aplicações em aeronáutica e em reologia
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Temático