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Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type | ||
| Journal of Mathematical Modeling | ||
| مقاله 11، دوره 12، شماره 2، مهر 2024، صفحه 355-369 اصل مقاله (355.76 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.26526.2339 | ||
| نویسنده | ||
| Manikandan Mariappan* | ||
| Department of Mathematics, School of Engineering, Presidency University, Bengaluru - 560 064, Karnataka, India | ||
| چکیده | ||
| In this article, a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type is considered. A numerical technique combined with the continuation method is constructed to obtain the numerical computations. The newly developed numerical method is shown to be first order convergent uniformly with respect to the perturbation parameter. | ||
| کلیدواژه‌ها | ||
| Multiscale nonlinear system of singularly perturbed differential equations؛ boundary layers؛ finite difference scheme؛ Shishkin mesh؛ the continuation method؛ parameter-uniform convergence | ||
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آمار تعداد مشاهده مقاله: 114 تعداد دریافت فایل اصل مقاله: 113 |
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