A numerical scheme for singularly perturbed reaction-diffusion problems with a negative shift via numerov method

14th International Conference on Science, Engineering and Technology

自然科学;工业技术

Kumar, S. Dinesh^1 ; Rao, R. Nageshwar^1 ; Chakravarthy, P. Pramod^2

Department of Mathematics, School of Advanced Sciences, VIT University, Vellore

632014, India^1

Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur

440010, India^2

关键词: Computational work;    Finite difference scheme;    Interior layer;    Numerical scheme;    Reaction diffusion;    Reaction diffusion problems;    Singularly perturbed;    Singularly perturbed delay-differential equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/263/4/042110/pdf
DOI  :  10.1088/1757-899X/263/4/042110

来源: IOP

【 摘 要 】

In this paper, we consider a boundary value problem for a singularly perturbed delay differential equation of reaction-diffusion type. We construct an exponentially fitted numerical method using Numerov finite difference scheme, which resolves not only the boundary layers but also the interior layers arising from the delay term. An extensive amount of computational work has been carried out to demonstrate the applicability of the proposed method.