Approximate solutions of linear Volterra integral equation systems with variable coefficients

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dc.contributor.authorSorkun, HH
dc.contributor.authorYalçinbas, S
dc.date.accessioned2024-07-18T11:39:25Z
dc.date.available2024-07-18T11:39:25Z
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. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
dc.identifier.issn0307-904X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/1634
dc.language.isoEnglish
dc.publisherELSEVIER SCIENCE INC
dc.subjectFREDHOLM INTEGRODIFFERENTIAL EQUATIONS
dc.subjectNUMERICAL-SOLUTION
dc.subjectPOLYNOMIAL SOLUTIONS
dc.subject2ND KIND
dc.subjectEXPANSION METHOD
dc.subject2ND-KIND
dc.titleApproximate solutions of linear Volterra integral equation systems with variable coefficients
dc.typeArticle

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