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Chebyshev Differential Quadrature for Numerical Solutions of Third- and Fourth-Order Singular Perturbation Problems

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dc.contributor.authorYigit, Gulsemay
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2026-06-27T14:25:49Z
dc.date.issued2020
dc.description.abstractIn this paper, linear and nonlinear singularly perturbed problems are studied by a numerical approach based on polynomial differential quadrature. The weighting coefficient matrix is acquired using Chebyshev polynomials. Different classes of perturbation problems are considered as test problems to show the accuracy of method. Then, the quadrature results are compared with analytical solutions of well-known existing solutions.en
dc.description.urihttps://doi.org/10.1007/s40010-019-00605-8
dc.identifier.doi10.1007/s40010-019-00605-8
dc.identifier.eissn2250-1762
dc.identifier.endpage436
dc.identifier.issn0369-8203
dc.identifier.issue3
dc.identifier.startpage429
dc.identifier.urihttps://hdl.handle.net/20.500.14981/60534
dc.identifier.volume90
dc.identifier.wos000563491000006
dc.language.isoeng
dc.publisherNATL ACAD SCIENCES INDIA
dc.relation.ispartofPROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
dc.subjectSingular perturbation
dc.subjectThe differential quadrature
dc.subjectChebyshev polynomials
dc.subjectBOUNDARY-VALUE-PROBLEMS
dc.subject3RD-ORDER
dc.subjectEQUATIONS
dc.subjectALGORITHM
dc.subjectSIMULATION
dc.subjectDIRICHLET
dc.subjectSOLVE
dc.subjectScience & Technology - Other Topics
dc.titleChebyshev Differential Quadrature for Numerical Solutions of Third- and Fourth-Order Singular Perturbation Problems
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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