Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions
محل انتشار: مجله مدلسازی ریاضی، دوره: 11، شماره: 2
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 86
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شناسه ملی سند علمی:
JR_JMMO-11-2_012
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
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.
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نویسندگان
Manikandan Mariappan
Department of Mathematics, School of Engineering, Presidency University, Bengaluru - ۵۶۰ ۰۶۴, Karnataka, India
Ishwariya Rosey
Department of Science and Humanities, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai-۶۰۱۱۰۳, Tamil Nadu, India