A Class of Higher-Order Collocation Scheme for the Integral Equation of the Convolution Type

M. Alsahlanee, P. Darania and S. Pishbin

Journal of Mathematics, 2025, vol. 2025, 1-15

Abstract: Auto convolution Volterra integral equations (ACVIEs) are the particular form of non-standard integral equations arising in mathematical modeling processes and the computation of certain functions. In this paper, a novel class of multistep collocation methods (NM-SCMs) is constructed in order to find a higher-order method is constructed for the numerical solution of this kind of the ACVIEs. We analyze the convergence of this method and determine the order of convergence. Also, 1-SCMs and M-SCMs are applied to solve this equation numerically.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8838147

DOI: 10.1155/jom/8838147

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