A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems

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dc.contributor.authorKehinde, Olawale O.
dc.contributor.authorMunyakazi, Justin B.
dc.contributor.authorAppadu, Appanah R.
dc.date.accessioned2022-08-02T07:29:16Z
dc.date.available2022-08-02T07:29:16Z
dc.date.issued2022
dc.description.abstractDespite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear problems are quasi-non-existent. In this article, we study a two-dimensional semilinear singularly perturbed convection-diffusion problems. Our approach requires linearization of the continuous semilinear problem using the quasilinearization technique. We then discretize the resulting linear problems in the framework of non-standard finite difference methods. A rigorous convergence analysis is conducted showing that the proposed method is first-order parameter-uniform convergent. Finally, two test examples are used to validate the theoretical findings.en_US
dc.identifier.citationKehinde, O. O. et al. (2022). A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems. Frontiers in Applied Mathematics and Statistics, 8, 861276. 10.3389/fams.2022.861276en_US
dc.identifier.issn2297-4687
dc.identifier.urihttps://doi.org/10.3389/fams.2022.861276
dc.identifier.urihttp://hdl.handle.net/10566/7651
dc.language.isoenen_US
dc.publisherFrontiers Mediaen_US
dc.subjectQuasilinearizationen_US
dc.subjectMathematicsen_US
dc.subjectEquationsen_US
dc.subjectSemilinearen_US
dc.titleA NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problemsen_US
dc.typeArticleen_US

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