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

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Author(s):
McKee, S. ; Cuminato, Jose A.
Total Authors: 2
Document type: Journal article
Source: APPLIED NUMERICAL MATHEMATICS; v. 114, p. 9-pg., 2017-04-01.
Abstract

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)

FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC