Numerical Analysis of Singularly Perturbed System of Parabolic Convection–Diffusion Problem with Regular Boundary Layers

2019 ◽  
Author(s):  
Maneesh Kumar Singh ◽  
Srinivasan Natesan
Keyword(s):  
Numerical Analysis ◽  
Boundary Layers ◽  
Diffusion Problem ◽  
Singularly Perturbed ◽  
Regular Boundary ◽  
Singularly Perturbed System ◽  
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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