Open AccessQuintic B-Spline Technique for Numerical Treatment of Third Order Singular Perturbed Delay Differential Equation
Author(s) -
Mandeep Kaur Vaid,
Geeta Arora
Publication year - 2019
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2019.4.6-116
Subject(s) - mathematics , mathematical analysis , order of accuracy , quintic function , differential equation , computation , collocation method , orthogonal collocation , convergence (economics) , collocation (remote sensing) , ordinary differential equation , method of characteristics , computer science , physics , algorithm , nonlinear system , quantum mechanics , machine learning , economic growth , economics
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.