Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method

	Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method
Computational Methods for Differential Equations
مقاله 17، دوره 14، شماره 1، فروردین 2026، صفحه 247-260 اصل مقاله (412.95 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64105.2885
نویسندگان
Rozhan Mahamad haji؛ Amjad AliPanah^*
Department of Mathematics, Faculty of Sciences, University of Kurdistan, Sanandaj, Iran.
چکیده
In this paper, we present the application of the double exponential non-classical sinc method for solving a specific class of singularly perturbed two-point boundary value problems. This method is particularly effective for problems with singularities, infinite domains, or boundary layers. We discuss the convergence and error estimation of our approach. Using three illustrative examples, we demonstrate the superior performance of our method compared to existing approaches.
کلیدواژه‌ها
Non-classical؛ Sinc collocation method؛ Singularly perturbed؛ Boundary value problems؛ Convergence

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