A NSFD method for the singularly perturbed Burgers-Huxley equation
dc.contributor.author | Derzie, Eshetu B. | |
dc.contributor.author | Munyakazi, Justin B. | |
dc.contributor.author | Dinka, Tekle G. | |
dc.date.accessioned | 2023-03-15T07:37:26Z | |
dc.date.available | 2023-03-15T07:37:26Z | |
dc.date.issued | 2023 | |
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 efficient numerical solution for this equation via the classical numerical methods. To overcome this challenge, a nonstandard finite difference (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 differential 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-uniform convergent. 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.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. https://doi.org/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/10566/8584 | |
dc.language.iso | en | en_US |
dc.publisher | Frontiers Media | en_US |
dc.subject | Applied Mathematics | en_US |
dc.subject | Burgers-Huxley equation | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Parameter-uniform convergence | en_US |
dc.title | A NSFD method for the singularly perturbed Burgers-Huxley equation | en_US |
dc.type | Article | en_US |
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