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Journal of Applied Mathematics and Computing

Erschienen in:

01.10.2016 | Original Research

A new numerical method for solving two-dimensional Volterra–Fredholm integral equations

verfasst von: Farshid Mirzaee, Elham Hadadiyan

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2016

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Abstract

In this paper, a numerical method for solving nonlinear two-dimensional Volterra–Fredholm integral equations is presented. The approximate solution is expressed as expansion of two-dimensional delta basis functions (2D-DFs). Afterward, using the properties of 2D-DFs and their operational matrix of integration together with collocation method the numerical solution of these equations is reduced to the solution of a nonlinear system of algebraic equations. Moreover, it is proved in a theorem that the method is convergence and error is \(O(h^2)\). Furthermore, error analysis of the proposed method is provided under several mild conditions. Finally, the effectiveness of the method is illustrated in some numerical experiments.

Vorheriger Artikel Positive solutions for singular fractional differential equations with three-point boundary conditions

Nächster Artikel Double domination on intuitionistic fuzzy graphs

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Titel: A new numerical method for solving two-dimensional Volterra–Fredholm integral equations
verfasst von: Farshid Mirzaee
Elham Hadadiyan
Publikationsdatum: 01.10.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2016
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0951-1

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