A new parameter-uniform discretization of semilinear singularly perturbed problems
dc.contributor.author | Munyakazi, Justin B. | |
dc.contributor.author | Kehinde, Olawale O. | |
dc.date.accessioned | 2022-09-14T10:01:34Z | |
dc.date.available | 2022-09-14T10:01:34Z | |
dc.date.issued | 2022 | |
dc.description.abstract | In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via the quasilinearization technique. We then design and implement a fitted operator finite difference method to solve the sequence of linear singularly perturbed problems that emerges from the quasilinearization process. We carry out a rigorous analysis to attest to the convergence of the proposed procedure and notice that the method is first-order uniformly convergent. Some numerical evaluations are implemented on model examples to confirm the proposed theoretical results and to show the efficiency of the method. | en_US |
dc.identifier.citation | Munyakazi, J. B., & Kehinde, O. O. (2022). A new parameter-uniform discretization of semilinear singularly perturbed problems. Mathematics, 10(13), 2254. https://doi.org/10.3390/math10132254 | en_US |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | https://doi.org/10.3390/math10132254 | |
dc.identifier.uri | http://hdl.handle.net/10566/7889 | |
dc.language.iso | en | en_US |
dc.publisher | MDPI | en_US |
dc.subject | Quasilinearization | en_US |
dc.subject | Fluid dynamics | en_US |
dc.subject | Quantum mechanics | en_US |
dc.subject | Plasma dynamics | en_US |
dc.subject | Aerodynamics | en_US |
dc.title | A new parameter-uniform discretization of semilinear singularly perturbed problems | en_US |
dc.type | Article | en_US |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- munyakazi_a new parameter-uniform_2022.pdf
- Size:
- 282.2 KB
- Format:
- Adobe Portable Document Format
- Description:
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: