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

Document Type : Research Paper

Authors

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632014, India.

Abstract

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. 

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References

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Computational Methods for Differential Equations
Volume 13, Issue 2
March 2025
Pages 618-633

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History

  • Receive Date: 21 September 2023
  • Revise Date: 05 June 2024
  • Accept Date: 25 June 2024

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