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.
Regal, A. Mariya and Kumar S, D. (2025). Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition. Computational Methods for Differential Equations, 13(2), 618-633. doi: 10.22034/cmde.2024.58538.2477
MLA
Regal, A. Mariya, and Kumar S, D. . "Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition", Computational Methods for Differential Equations, 13, 2, 2025, 618-633. doi: 10.22034/cmde.2024.58538.2477
HARVARD
Regal, A. Mariya, Kumar S, D. (2025). 'Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition', Computational Methods for Differential Equations, 13(2), pp. 618-633. doi: 10.22034/cmde.2024.58538.2477
CHICAGO
A. Mariya Regal and D. Kumar S, "Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition," Computational Methods for Differential Equations, 13 2 (2025): 618-633, doi: 10.22034/cmde.2024.58538.2477
VANCOUVER
Regal, A. Mariya, Kumar S, D. Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition. Computational Methods for Differential Equations, 2025; 13(2): 618-633. doi: 10.22034/cmde.2024.58538.2477
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