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Numerical solutions of two-dimensional mixed volterra-fredholm integral equations via bernoulli collocation method

dc.contributor.authorHafez, R. M.
dc.contributor.authorDoha, E. H.
dc.contributor.authorBhrawy, A. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-02-21T10:49:11Z
dc.date.available2020-02-21T10:49:11Z
dc.date.issued2017
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe mixed Volterra-Fredholm integral equations (VFIEs) arise in various physical and biological models. The main purpose of this article is to propose and analyze efficient Bernoulli collocation techniques for numerically solving classes of two-dimensional linear and nonlinear mixed VFIEs. The novel aspect of the technique is that it reduces the problem under consideration to a system of algebraic equations by using the Gauss-Bernoulli nodes. One of the main advantages of the present approach is its superior accuracy. Consequently, good results can be obtained even by using a relatively small number of collocation nodes. In addition, several numerical results are given to illustrate the features of the proposed technique.en_US
dc.identifier.citationHafez, R. M...et al. (20179. "Numerical solutions of two-dimensional mixed volterra-fredholm integral equations via bernoulli collocation method", Romanian Journal Of Physics, Vol. 62, No. 3-4.en_US
dc.identifier.issn1221-146X
dc.identifier.issue3-4en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2486
dc.identifier.volume62en_US
dc.language.isoenen_US
dc.publisherEditura Academiei Romaneen_US
dc.relation.ispartofRomanian Journal Of Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectVolterra-Fredholm Integral Equationsen_US
dc.subjectError Analysisen_US
dc.subjectCollocation Schemesen_US
dc.subjectBernoulli-Gauss Nodesen_US
dc.titleNumerical solutions of two-dimensional mixed volterra-fredholm integral equations via bernoulli collocation methodtr_TR
dc.titleNumerical Solutions of Two-Dimensional Mixed Volterra-Fredholm Integral Equations Via Bernoulli Collocation Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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