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A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems | ||
| Journal of Mathematical Modeling | ||
| دوره 12، شماره 1، خرداد 2024، صفحه 33-49 اصل مقاله (343.74 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.25201.2237 | ||
| نویسنده | ||
| Manikandan Mariappan* | ||
| Department of Mathematics, School of Engineering, Presidency University, Bengaluru-560 064, Karnataka, India | ||
| چکیده | ||
| A class of two-parameter singularly perturbed nonlinear second order ordinary differential equations is considered in this article. A fitted mesh method which is a combination of finite difference scheme and a Shishkin mesh is developed to solve the problems. The method is proved to be essentially first order parameter independent convergent. Numerical experiments support the established theoretical results. | ||
| کلیدواژه‌ها | ||
| Two-parameter nonlinear singular perturbation problems؛ boundary layers؛ Shishkin mesh؛ parameter independent convergence | ||
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آمار تعداد مشاهده مقاله: 315 تعداد دریافت فایل اصل مقاله: 461 |
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