A NSFD method for the singularly perturbed Burgers-Huxley equation

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dc.contributor.authorDerzie, Eshetu B.
dc.contributor.authorMunyakazi, Justin B.
dc.contributor.authorDinka, Tekle G.
dc.date.accessioned2023-06-13T12:31:23Z
dc.date.available2023-06-13T12:31:23Z
dc.date.issued2023
dc.description.abstractThis article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a reliable and e cient numerical solution for this equation via the classical numericalmethods. To overcome this challenge, a nonstandard finite di􀀀erence (NSFD) scheme is developed in the following manner. The time variable is discretized using the backward Euler method. This gives rise to a system of nonlinear ordinary di􀀀erential equations which are then dealt with using the concept of nonlocal approximation. Through a rigorous error analysis, the proposed scheme has been shown to be parameter-uniformconvergent. Simulations conducted on two numerical examples confirm the theoretical result. A comparison with other methods in terms of accuracy and computational cost reveals the superiority of the proposed scheme.en_US
dc.identifier.citationDerzie, E. B. et al. (2023). A NSFD method for the singularly perturbed Burgers-Huxley equation. Frontiers in Applied Mathematics and Statistics, 9, 1068890. 10.3389/fams.2023.1068890en_US
dc.identifier.issn2297-4687
dc.identifier.urihttps://doi.org/10.3389/fams.2023.1068890
dc.identifier.urihttp://hdl.handle.net/10566/9071
dc.language.isoenen_US
dc.publisherFrontiers Mediaen_US
dc.subjectMathematicsen_US
dc.subjectBurgers-Huxley equationen_US
dc.subjectApplied Mathematicsen_US
dc.subjectNonlinear equationen_US
dc.titleA NSFD method for the singularly perturbed Burgers-Huxley equationen_US
dc.typeArticleen_US

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