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Solving nonlinear integral equations with non-separable kernel via a high-order iterative process
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DOI：10.1016/j.amc.2021.126385.png)
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Abstract
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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. (c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license ( http://creativecommons.org/licenses/by/4.0/ )
Keywords:
Newton'S iterative method
Semilocal convergence study
Newton-Kantorovich conditions
Majorizing sequences
Error bounds
Order of convergence
Nonlinear integral equation
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