Superconvergent scheme for a system of Green nonlinear Fredholm integral equations

Rakesh Kumar and B.V. Rathish Kumar

Applied Mathematics and Computation, 2024, vol. 479, issue C

Abstract: This study investigates a system of second-kind nonlinear Fredholm integral equations (SSNFIEs) featuring a Green's type kernel function. To solve this integral equations (IEs), we introduce Galerkin and iterated Galerkin (IG) methods based on piecewise polynomials. Convergence and error analysis are conducted for these methods, and we demonstrate superconvergence for the IG method. Numerical tests are employed to validate the theoretical findings.

Keywords: Fredholm integral equation; Green kernel; Galerkin method; Iterated Galerkin method (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:479:y:2024:i:c:s0096300324003412

DOI: 10.1016/j.amc.2024.128880

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