A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra–Fredholm integral equations

Sadegh Amiri, Mojtaba Hajipour and Dumitru Baleanu

Applied Mathematics and Computation, 2020, vol. 370, issue C

Abstract: The aim of this paper is to investigate an efficient numerical method based on a novel shifted piecewise cosine basis for solving Volterra–Fredholm integral equations of the second kind. Using operational matrices of integration for the proposed basis functions, this integral equation is transformed into a system of nonlinear algebraic equations. The convergence and error analysis of the proposed method are studied. Some comparative results are provided to verify the efficiency of the presented method.

Keywords: Volterra–Fredholm integral equations; Piecewise cosine basis; Nonlinear equations (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:370:y:2020:i:c:s0096300319309075

DOI: 10.1016/j.amc.2019.124915

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