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Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions | ||
| Journal of Mathematical Modeling | ||
| مقاله 12، دوره 11، شماره 2، مهر 2023، صفحه 411-423 اصل مقاله (360.04 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.23515.2100 | ||
| نویسندگان | ||
| Manikandan Mariappan1؛ Ishwariya Rosey* 2 | ||
| 1Department of Mathematics, School of Engineering, Presidency University, Bengaluru - 560 064, Karnataka, India | ||
| 2Department of Science and Humanities, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai-601103, Tamil Nadu, India | ||
| چکیده | ||
| In this article, a class of singularly perturbed nonlinear differential equations with Robin boundary conditions is considered. A numerical method consists of the classical finite difference operator over a Shishkin mesh with two-mesh algorithm is constructed to solve the problems. The method is proved to be first order convergent uniformly with respect to the perturbation parameter. Experiments are carried out for two different types of Robin boundary conditions and Neumann boundary conditions as a special case of Robin boundary conditions. | ||
| کلیدواژهها | ||
| Singular perturbation problems؛ Robin boundary conditions؛ nonlinear differential equations؛ finite difference scheme؛ Shishkin mesh؛ parameter-uniform convergence | ||
| مراجع | ||
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