Approximate solutions of linear Volterra integral equation systems with variable coefficients

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dc.contributor.authorSorkun H.H.
dc.contributor.authorYalçinbaş S.
dc.date.accessioned2024-07-22T08:20:48Z
dc.date.available2024-07-22T08:20:48Z
dc.date.issued2010
dc.description.abstractIn this paper, a new approximate method has been presented to solve the linear Volterra integral equation systems (VIEs). This method transforms the integral system into the matrix equation with the help of Taylor series. 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 VIEs are solved by the presented method in order to obtain their approximate solutions. © 2010.
dc.identifier.DOI-ID10.1016/j.apm.2010.02.034
dc.identifier.issn0307904X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18335
dc.language.isoEnglish
dc.rightsAll Open Access; Hybrid Gold Open Access
dc.subjectApproximation theory
dc.subjectPolynomials
dc.subjectTaylor series
dc.subjectAnalytic solution
dc.subjectApproximate methods
dc.subjectApproximate solution
dc.subjectExact solution
dc.subjectIntegral Systems
dc.subjectLinear Volterra integral equation
dc.subjectMatrix equations
dc.subjectNew system
dc.subjectSystem of integral equations
dc.subjectSystem of linear algebraic equations
dc.subjectTaylor coefficients
dc.subjectTaylor polynomials
dc.subjectVariable coefficients
dc.subjectVolterra integral equations
dc.subjectIntegral equations
dc.titleApproximate solutions of linear Volterra integral equation systems with variable coefficients
dc.typeArticle

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