FITTED MESH CUBIC SPLINE TENSION METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITION

	FITTED MESH CUBIC SPLINE TENSION METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITION
Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 تیر 1403 اصل مقاله (592.46 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 two model problems are examined for numerical treatment and are addressed using a variety of values for the perturbation parameter ϵ 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

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