An accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers-Fisher type arising in applied sciences

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dc.contributor.authorKürkçü, ÖK
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T11:53:36Z
dc.date.available2024-07-18T11:53:36Z
dc.description.abstractIn this study, the second-order nonlinear partial differential equations of Burgers-Fisher type are considered under a unique formulation by introducing a novel highly accurate numerical method based on the Norlund rational polynomial and matrix-collocation computational system. The method aims to obtain a sustainable approach since it contains the rational structure of the Norlund polynomial. A unique computer program module, which involves very few routines, is constructed to discuss the precision and efficiency of the method and these few steps are described via an algorithm. A residual function is employed in both the error and convergence analyses with mean value theorem for double integrals. The considered equations in the numerical tests stand for model phenomena arising widely in applied sciences. Graphical and numerical comparisons provide a clear observation about the consistency of the method. All results prove that the method is highly accurate, eligible, and provides the ultimate operation for aforementioned problems.
dc.identifier.issn1565-1339
dc.identifier.other2191-0294
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/5744
dc.language.isoEnglish
dc.publisherWALTER DE GRUYTER GMBH
dc.subjectGENERALIZED BURGER
dc.subjectNORLUND
dc.subjectHUXLEY
dc.subjectWAVES
dc.subjectTERMS
dc.titleAn accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers-Fisher type arising in applied sciences
dc.typeArticle

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