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Regal, Akhila, Kumar S, Dinesh. (1403). Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition. سامانه مدیریت نشریات علمی, 13(2), 618-633. doi: 10.22034/cmde.2024.58538.2477
Akhila Mariya Regal; Dinesh Kumar S. "Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition". سامانه مدیریت نشریات علمی, 13, 2, 1403, 618-633. doi: 10.22034/cmde.2024.58538.2477
Regal, Akhila, Kumar S, Dinesh. (1403). 'Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition', سامانه مدیریت نشریات علمی, 13(2), pp. 618-633. doi: 10.22034/cmde.2024.58538.2477
Regal, Akhila, Kumar S, Dinesh. Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition. سامانه مدیریت نشریات علمی, 1403; 13(2): 618-633. doi: 10.22034/cmde.2024.58538.2477

Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition

Computational Methods for Differential Equations
مقاله 19، دوره 13، شماره 2، خرداد 2025، صفحه 618-633    اصل مقاله (409.38 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.58538.2477
نویسندگان
Akhila Mariya Regal؛ Dinesh Kumar S*
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632014, India.
چکیده
The cubic spline in tension method is taken into consideration to solve the singularly perturbed delay differential equations of convection diffusion type with integral boundary condition. Simpson’s 1/3 rule is used to the non-local boundary condition and three model problems are examined for numerical treatment and are addressed using a variety of values for the perturbation parameter  and the mesh size to verify the scheme’s applicability. The computational results and rate of convergence are given in tables, and it is seen that the proposed method is more precise and improves the methods used in the literature. 
کلیدواژه‌ها
Singular perturbation problems؛ Delay differential equations؛ Cubic spline in tension؛ Integral boundary conditions
مراجع
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