dc.contributor.author | Kehinde, Olawale O. | |
dc.contributor.author | Munyakazi, Justin B. | |
dc.contributor.author | Appadu, Appanah R. | |
dc.date.accessioned | 2022-08-02T07:29:16Z | |
dc.date.available | 2022-08-02T07:29:16Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Kehinde, 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.2022.861276 | en_US |
dc.identifier.issn | 2297-4687 | |
dc.identifier.uri | https://doi.org/10.3389/fams.2022.861276 | |
dc.identifier.uri | http://hdl.handle.net/10566/7651 | |
dc.description.abstract | Despite 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.language.iso | en | en_US |
dc.publisher | Frontiers Media | en_US |
dc.subject | Quasilinearization | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Equations | en_US |
dc.subject | Semilinear | en_US |
dc.title | A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems | en_US |
dc.type | Article | en_US |