Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations

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dc.contributor.authorYüzbasi, S
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T12:00:44Z
dc.date.available2024-07-18T12:00:44Z
dc.description.abstractThis paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations. By aid of the collocation points and the matrix operations, the suggested scheme converts singularly perturbed problem into a matrix equation, and this matrix equation corresponds to a system of linear algebraic equations. Also, an error analysis technique based on the residual function is introduced for the method. Four examples are considered to demonstrate the performance of the proposed scheme, and the results are discussed.
dc.identifier.issn1085-3375
dc.identifier.other1687-0409
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/7934
dc.language.isoEnglish
dc.publisherHINDAWI LTD
dc.subjectBOUNDARY-VALUE-PROBLEMS
dc.subjectASYMPTOTIC SOLUTION
dc.subjectNUMERICAL-SOLUTION
dc.subjectFINITE-DIFFERENCE
dc.subjectMESH
dc.titleExponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations
dc.typeArticle

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