A NUMERICAL SCHEME FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE ON AN ADAPTIVE GRID | Zendy

P. Pramod Chakravarthy | Zendy; Trun Gupta | Zendy; N. V. Koteshwar Rao | Zendy

Open Access

A NUMERICAL SCHEME FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE ON AN ADAPTIVE GRID

Author(s) -

P. Pramod Chakravarthy,

Trun Gupta,

N. V. Koteshwar Rao

Publication year - 2018

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/mma.2018.041

Subject(s) - convection–diffusion equation , mathematics , polygon mesh , grid , differential equation , singular perturbation , diffusion , convection , scheme (mathematics) , finite difference scheme , mathematical analysis , geometry , mechanics , physics , thermodynamics

In this paper, an adaptive mesh strategy is presented for solving singularly perturbed delay differential equation of convection-diffusion type using second order central finite difference scheme. Layer adaptive meshes are generated via an entropy production operator. The details of the location and width of the layer is not required in the proposed method unlike the popular layer adaptive meshes mainly by Bakhvalov and Shishkin. An extensive amount of computational work has been carried out to demonstrate the applicability of the proposed method.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research