Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

Ain Shams Engineering Journal

D. Kumara Swamy¹  Y.N. Reddy¹  A. Benerji Babu¹  K. Phaneendra² 

[1] Department of Mathematics, National Institute of Technology, Warangal 506004, India;Department of Mathematics, University College of Science, Osmania University, Hyderabad 500007, India;

关键词: Singularly perturbed delay differential equation;    Delay parameter;    Boundary layer;    Trapezoidal rule;    Linear interpolation;   

DOI  :  10.1016/j.asej.2014.10.004

来源: DOAJ

【 摘 要 】

In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is replaced by an asymptotically equivalent first order neutral type delay differential equation. Then, we have employed numerical integration and linear interpolation to get tridiagonal system. This tridiagonal system is solved efficiently by using discrete invariant imbedding algorithm. Several model examples are solved, and computational results are presented by taking various values of the delay parameter and perturbation parameter. We have also discussed the convergence of the method.

【 授权许可】

Unknown