Application of reproducing kernel Hilbert space method for solving a class of nonlinear integral equations
type: Item
instance of: scholarly article
title: Application of reproducing kernel Hilbert space method for solving a class of nonlinear integral equations
zbMATH Open document ID: 1426.65210
DOI: 10.1155/2017/7498136
author: Sedigheh Farzaneh Javan
author: Saeid Abbasbandy
author: Mohammad Ali Fariborzi Araghi
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: A new approach based on the Reproducing Kernel Hilbert Space Method is proposed to approximate the solution of the second-kind nonlinear integral equations. In this case, the Gram-Schmidt process is substituted by another process so that a satisfactory result is obtained. In this method, the solution is expressed in the form of a series. Furthermore, the convergence of the proposed technique is proved. In order to illustrate the effectiveness and efficiency of the method, four sample integral equations arising in electromagnetics are solved via the given algorithm.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 6972473
Wikidata QID: Q59147771
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7498136
OpenAlex ID: W2595404682
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description: scientific article; zbMATH DE number 6972473