ISSN: 2455-7749

**
Mandeep Kaur Vaid **
Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India.

**
Geeta Arora **
Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.6-116

Received on April 14, 2019

;
Accepted on August 07, 2019

**Abstract**

In this paper, a class of third order singularly perturbed delay differential equation with large delay is considered for numerical treatment. The considered equation has discontinuous convection-diffusion coefficient and source term. A quintic trigonometric B-spline collocation technique is used for numerical simulation of the considered singularly perturbed delay differential equation by dividing the domain into the uniform mesh. Further, uniform convergence of the solution is discussed by using the concept of Hall error estimation and the method is found to be of first-order convergent. The existence of the solution is also established. Computation work is carried out to validate the theoretical results.

**Keywords-** Quintic trigonometric spline, Error estimate, Perturbed equation, Delay.

**Citation**

Vaid, M. K., & Arora, G. (2019). Quintic B-Spline Technique for Numerical Treatment of Third Order Singular Perturbed Delay Differential Equation. *International Journal of Mathematical, Engineering and Management Sciences*, *4*(6), 1471-1482. https://dx.doi.org/10.33889/IJMEMS.2019.4.6-116.

**Conflict of Interest**

The authors confirm that this article contents have no conflict of interest.

**Acknowledgements**

The authors would like to express their sincere thanks to the editor and referee for their valuable suggestions towards the improvement of the paper.

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