A novel variant of a product integration method and its relation to discrete fractional calculus

Autor(es)

McKee, S. ; Cuminato, Jose A.

• Tipo de documento: Artigo Científico
• Fonte: APPLIED NUMERICAL MATHEMATICS; v. 114, p. 9-pg., 2017-04-01.

Resumo

A new integration technique, which is suitable for integrands with multiple weak singularities, is introduced. Local truncation errors are given. This scheme, when applied to the Beta function, is shown to emerge naturally from discrete fractional integration. To illustrate the effectiveness of the integration method a numerical example is provided, with somewhat unexpected convergence results. (C) 2016 IMACS. Published by Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs