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Superconvergent scheme for a system of Green nonlinear Fredholm integral equations

Author

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  • Kumar, Rakesh
  • Rathish Kumar, B.V.

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.

Suggested Citation

  • Kumar, Rakesh & Rathish Kumar, B.V., 2024. "Superconvergent scheme for a system of Green nonlinear Fredholm integral equations," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    • Handle: RePEc:eee:apmaco:v:479:y:2024:i:c:s0096300324003412
    DOI: 10.1016/j.amc.2024.128880
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    References listed on IDEAS

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    1. Chakraborty, Samiran & Kant, Kapil & Nelakanti, Gnaneshwar, 2021. "Approximation methods for system of linear Fredholm integral equations of second kind," Applied Mathematics and Computation, Elsevier, vol. 403(C).
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