dc.contributor.author | Derzie, Eshetu B. | |
dc.contributor.author | Munyakazi, Justin B. | |
dc.contributor.author | Dinka, Tekle G. | |
dc.date.accessioned | 2023-06-13T12:31:23Z | |
dc.date.available | 2023-06-13T12:31:23Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Derzie, 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.2023.1068890 | en_US |
dc.identifier.issn | 2297-4687 | |
dc.identifier.uri | https://doi.org/10.3389/fams.2023.1068890 | |
dc.identifier.uri | http://hdl.handle.net/10566/9071 | |
dc.description.abstract | This 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 dierence (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 dierential 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.language.iso | en | en_US |
dc.publisher | Frontiers Media | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Burgers-Huxley equation | en_US |
dc.subject | Applied Mathematics | en_US |
dc.subject | Nonlinear equation | en_US |
dc.title | A NSFD method for the singularly perturbed Burgers-Huxley equation | en_US |
dc.type | Article | en_US |