A numerical approach for a nonhomogeneous differential equation with variable delays

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dc.contributor.authorÖzel, M
dc.contributor.authorTarakçi, M
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T12:01:27Z
dc.date.available2024-07-18T12:01:27Z
dc.description.abstractIn this study, we consider a linear nonhomogeneous differential equation with variable coefficients and variable delays and present a novel matrix-collocation method based on Morgan-Voyce polynomials to obtain the approximate solutions under the initial conditions. The method reduces the equation with variable delays to a matrix equation with unknown Morgan-Voyce coefficients. Thereby, the solution is obtained in terms of Morgan-Voyce polynomials. In addition, two test problems together with error analysis are performed to illustrate the accuracy and applicability of the method; the obtained results are scrutinized and interpreted by means of tables and figures.
dc.identifier.issn2008-1359
dc.identifier.other2251-7456
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/8433
dc.language.isoEnglish
dc.publisherSPRINGER HEIDELBERG
dc.subjectVOLTERRA INTEGRODIFFERENTIAL EQUATIONS
dc.subjectCOLLOCATION METHOD
dc.subjectMATRIX-METHOD
dc.subjectDICKSON
dc.titleA numerical approach for a nonhomogeneous differential equation with variable delays
dc.typeArticle

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