Publication:
General 2 x 2 system of nonlinear integral equations and its approximate solution

Simple item page
dc.contributor.authorEshkuvatov, ZKen_US
dc.contributor.authorHameed, HHen_US
dc.contributor.authorTaib, BMen_US
dc.contributor.authorLong, NMANen_US
dc.date.accessioned2024-05-29T02:49:43Z
dc.date.available2024-05-29T02:49:43Z
dc.date.issued2019-12-01
dc.descriptionJournal of Computational and Applied Mathematics Volume 361, 1 December 2019, Pages 528-546en_US
dc.description.abstractIn this note, we consider a general 2 x 2 system of nonlinear Volterra type integral equations. The modified Newton method (modified NM) is used to reduce the nonlinear problems into 2 x 2 linear system of algebraic integral equations of Volterra type. The latter equation is solved by discretization method. Nystrom method with Gauss-Legendre quadrature is applied for the kernel integrals and Newton forwarded interpolation formula is used for finding values of unknown functions at the selected node points. Existence and uniqueness solution of the problems are proved and accuracy of the quadrature formula together with convergence of the proposed method are obtained. Finally, numerical examples are provided to show the validity and efficiency of the method presented. Numerical results reveal that the proposed methods is efficient and accurate. Comparisons with other methods for the same problem are also presented. (C) 2019 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.cam.2019.04.025
dc.identifier.epage546
dc.identifier.isbn1879-1778
dc.identifier.isiWOS:000474316500032
dc.identifier.issn0377-0427
dc.identifier.scopus2-s2.0-85066093821
dc.identifier.spage528
dc.identifier.urihttps://www.sciencedirect.com/science/article/abs/pii/S0377042719302201?via%3Dihub
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85066093821&doi=10.1016%2fj.cam.2019.04.025&partnerID=40&md5=983b53e565678ca922ec96a8ce4f32d0
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10915
dc.identifier.volume361
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal Of Computational And Applied Mathematicsen_US
dc.sourceWeb Of Science (ISI)
dc.subjectModified Newton methoden_US
dc.subjectGauss-Legendre quadrature formulaen_US
dc.subjectnonlinear operatoren_US
dc.subjectVolterra integral equationen_US
dc.subjectDiscretizationen_US
dc.titleGeneral 2 x 2 system of nonlinear integral equations and its approximate solutionen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Collections

Web of Science_WoS