Solving nonlinear integral equations with non-separable kernel via a high-order iterative process

M.A. Hernández-Verón, Sonia Yadav, Eulalia Martínez and Sukhjit Singh

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: In this work we focus on location and approximation of a solution of nonlinear integral equations of Hammerstein-type when the kernel is non-separable through a high order iterative process. For this purpose, we approximate the non-separable kernel by means of a separable kernel and then, we perform a complete study about the convergence criteria for the approximated solution obtained to the solution of our first problem. Different examples have been tested in order to apply our theoretical results.

Keywords: Newton’S iterative method; Semilocal convergence study; Newton-Kantorovich conditions; Majorizing sequences; Error bounds; Order of convergence; Nonlinear integral equation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321004744

DOI: 10.1016/j.amc.2021.126385

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