6533b82bfe1ef96bd128e37c

RESEARCH PRODUCT

Localization and separation of solutions for Fredholm integral equations

Sukhjit SinghMiguel ÁNgel Hernández-verónMaría Dolores IbáñezEulalia Martínez

subject

Domain of existence of solutionApplied MathematicsFredholm integral equation010102 general mathematicsSeparation (statistics)Mathematical analysisFredholm integral equationTwo-steps Newton iterative schemeLipschitz continuity01 natural sciencesIntegral equation010101 applied mathematicssymbols.namesakesymbols0101 mathematicsDomain of uniqueness of solutionLipschitz conditionMATEMATICA APLICADAAnalysisMathematics

description

[EN] In this paper, we establish a qualitative study of nonlinear Fredholm integral equations, where we will carry out a study on the localization and separation of solutions. Moreover, we consider an efficient algorithm to approximate a solution. To do this, we study the semilocal convergence of an efficient third order iterative scheme for solving nonlinear Fredholm integral equations under mild conditions. The novelty of our work lies in the fact that this study involves first order Frechet derivative and mild conditions. A numerical example involving nonlinear Fredholm integral equations, is solved to show the domains of existence and uniqueness of solutions. The applicability of the iterative scheme considered is also shown. (C) 2020 Elsevier Inc. All rights reserved.

yearjournalcountryeditionlanguage
2020-01-01
10.1016/j.jmaa.2020.124008https://hdl.handle.net/10251/161160