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Mahamad haji, Rozhan, AliPanah, Amjad. (1405). Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method. سامانه مدیریت نشریات علمی, 14(1), 247-260. doi: 10.22034/cmde.2025.64105.2885
Rozhan Mahamad haji; Amjad AliPanah. "Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method". سامانه مدیریت نشریات علمی, 14, 1, 1405, 247-260. doi: 10.22034/cmde.2025.64105.2885
Mahamad haji, Rozhan, AliPanah, Amjad. (1405). 'Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method', سامانه مدیریت نشریات علمی, 14(1), pp. 247-260. doi: 10.22034/cmde.2025.64105.2885
Mahamad haji, Rozhan, AliPanah, Amjad. Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method. سامانه مدیریت نشریات علمی, 1405; 14(1): 247-260. doi: 10.22034/cmde.2025.64105.2885

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
مراجع
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