Approximate solutions of linear Fredholm integral equations system with variable coefficients

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dc.contributor.authorYalçinbaş S.
dc.date.accessioned2024-07-22T08:19:05Z
dc.date.available2024-07-22T08:19:05Z
dc.date.issued2013
dc.description.abstractIn this paper, a new approximate method has been presented to solve the linear Fredholm integral equations system (FIEs). The technique is based on, first, differentiating both sides of integral equations n times and then substituting the Taylor series the unknown functions in the resulting equation and later, transforming to a matrix equation. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Also, this method gives the analytic solution when the exact solutions are polynomials. So as to Show this capability and robustness, some systems of FIEs are solved by the presented method in order to obtain their approximate solutions.
dc.identifier.DOI-ID10.3390/mca18010019
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17517
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectLinear equations
dc.subjectMatrix algebra
dc.subjectPolynomials
dc.subjectApproximate solution
dc.subjectFredholm
dc.subjectLinear Fredholm integral equations system
dc.subjectSystem of integral equations
dc.subjectSystem of linear algebraic equations
dc.subjectTaylor coefficients
dc.subjectTaylor polynomials and series
dc.subjectVariable coefficients
dc.subjectIntegral equations
dc.titleApproximate solutions of linear Fredholm integral equations system with variable coefficients
dc.typeArticle

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