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Mariappan, Manikandan, Rosey, Ishwariya. (1402). Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions. فیزیولوژی و بیوتکنولوژی آبزیان, 11(2), 411-423. doi: 10.22124/jmm.2023.23515.2100
Manikandan Mariappan; Ishwariya Rosey. "Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions". فیزیولوژی و بیوتکنولوژی آبزیان, 11, 2, 1402, 411-423. doi: 10.22124/jmm.2023.23515.2100
Mariappan, Manikandan, Rosey, Ishwariya. (1402). 'Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions', فیزیولوژی و بیوتکنولوژی آبزیان, 11(2), pp. 411-423. doi: 10.22124/jmm.2023.23515.2100
Mariappan, Manikandan, Rosey, Ishwariya. Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions. فیزیولوژی و بیوتکنولوژی آبزیان, 1402; 11(2): 411-423. doi: 10.22124/jmm.2023.23515.2100

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
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