scholarly journals A second order convergent initial value method for singularly perturbed system of differential-difference equations of convection diffusion type

2021 ◽  
Vol 25 (01) ◽  
pp. 73-83
Author(s):  
L. S. Senthilkumar ◽  
R. Mahendran ◽  
V. Subburayan
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Singularly Perturbed ◽  
Singularly Perturbed System ◽  
Initial Value ◽  
Diffusion Type ◽  
Convection Diffusion ◽  
Perturbed System

A ROBUST COMPUTATIONAL TECHNIQUE FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS

2013 ◽  
Vol 10 (05) ◽  
pp. 1350027
Author(s):  
VINOD KUMAR ◽  
R. K. BAWA ◽  
A. K. LAL
Keyword(s):  
Perturbation Parameter ◽  
Shishkin Mesh ◽  
Singularly Perturbed ◽  
Computational Technique ◽  
Singularly Perturbed System ◽  
Initial Value ◽  
Convection Diffusion ◽  
Perturbed System ◽  
Uniformly Convergent ◽  
Theoretical Results

In this paper, a singularly perturbed system of convection-diffusion boundary value problem (BVP) is examined. To solve such type of problem, a modified initial value technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be uniformly convergent with respect to the perturbation parameter. Numerical results are presented which are in agreement with the theoretical results.

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