A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer

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dc.contributor.authorMunyakazi, Justin B.
dc.contributor.authorPatidar, Kailash C.
dc.contributor.authorSayi, Mbani T.
dc.date.accessioned2023-03-09T09:19:25Z
dc.date.available2023-03-09T09:19:25Z
dc.date.issued2019
dc.description.abstractThe objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of time-dependent singularly perturbed parabolicconvection–diffusion problems. The solution to the problemswe consider exhibits an interior layer due to the presence ofa turning point. We first establish sharp bounds on the solu-tion and its derivatives. Then, we discretize the time variableusing the classical Euler method. This results in a system ofsingularly perturbed interior layer two-point boundary valueproblems. We propose a FOFDM to solve the system above.en_US
dc.identifier.citationMunyakazi, J. B. et al. (2019). A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer. Numerical Methods for Partial Differential Equations, 35 (6) , 2407-2422. 10.1002/num.22420en_US
dc.identifier.issn1098-2426
dc.identifier.uri10.1002/num.22420
dc.identifier.urihttp://hdl.handle.net/10566/8567
dc.language.isoenen_US
dc.publisherWileyen_US
dc.subjectMathematicsen_US
dc.subjectApplied Mathematicsen_US
dc.subjectProblemen_US
dc.titleA fitted numerical method for parabolic turning point singularly perturbed problems with an interior layeren_US
dc.typeArticleen_US

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