Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation

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dc.contributor.authorBahsi, MM
dc.contributor.authorÇevik, M
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T11:46:41Z
dc.date.available2024-07-18T11:46:41Z
dc.description.abstractIn this paper, a new matrix method based on orthogonal exponential (orthoexponential) polynomials and collocation points is proposed to solve the high-order linear delay differential equations with linear functional arguments under the mixed conditions. The convenience is that orthoexponential polynomials have shown to be effective in approximating a given function, fast and efficiently. An error analysis technique based on residual function is developed and applied to four problems to demonstrate the validity and applicability of the proposed method. It is confirmed that the present method yields quite acceptable results and the accuracy of the solution can significantly be increased by error correction and residual function. (C) 2015 Elsevier Inc. All rights reserved.
dc.identifier.issn0096-3003
dc.identifier.other1873-5649
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2943
dc.language.isoEnglish
dc.publisherELSEVIER SCIENCE INC
dc.subjectNUMERICAL-SOLUTION
dc.subjectINTEGRODIFFERENTIAL EQUATIONS
dc.subjectCOLLOCATION METHOD
dc.subjectTAU METHOD
dc.subjectSYSTEM
dc.subjectAPPROXIMATION
dc.titleOrthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation
dc.typeArticle

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