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

Abstract

[EN] 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.This research was partially supported by Ministerio de Economia y Competitividad under grant PGC2018-095896-B-C21-C22 and by the project EEQ/2018/000720 under Science and Engineering Research Board.Hernández-Verón, MA.; Yadav, S.; Martínez Molada, E.; Singh, S. (2021). Solving nonlinear integral equations with non-separable kernel via a high-order iterative process. Applied Mathematics and Computation. 409:1-12. https://doi.org/10.1016/j.amc.2021.12638511240