English

dc.contributor.authorYüzbasi, S
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T11:57:40Z
dc.date.available2024-07-18T11:57:40Z
dc.description.abstractEDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/7072
dc.language.isoArticle
dc.publisher1844-9581
dc.subjectIn this study, a matrix-collocation method is developed numerically to solve the linear Fredholm-Volterra-type functional integral and integro-differential equations. The linear functional integro-differential equations are considered under initial conditions. The mentioned type problems often appear in various branches of science and engineering such as physics, biology, mechanics, electronics. The method essentially is a collocation method based on the Lagrange polynomials and matrix operations. By using presented method, the problem is reduced to a system of linear algebraic equations. The solution of this system gives the coefficients of assumed solution. An error analysis based on the residual function is studied. Some examples are solved to demonstrate the accuracy and efficiency of the method.
dc.titleEnglish
dc.typeCOLLOCATION METHOD
dc.typeNUMERICAL-SOLUTION
dc.typeDIFFERENCE-EQUATIONS
dc.typeRESIDUAL CORRECTION
dc.typeMATRIX-METHOD
dc.typeSYSTEMS
dc.typeAPPROXIMATIONS
dc.typeALGORITHM

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