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New results for convergence of Adomian's method applied to integral equations

โœ Scribed by Y. Cherruault; G. Saccomandi; B. Some


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
549 KB
Volume
16
Category
Article
ISSN
0895-7177

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In this work, a reliable approach for convergence of the Adomian method when applied to a class of nonlinear Volterra integral equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the Adomian series solution.

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## Abstract In this paper we reexamine a previously proposed quadrature scheme, [VENTURINO], based on a formula proposed in [STENGER, 1976]. Our goal is to establish a stability result for the dominant singular integral equation of index one, and from it derive the error analysis for the proposed n