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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
P. Das and V. Mehrmann 
Corresponding Authors:
Volker Mehrmann 
DOI #:
10.1007/s10543-015-0559-8 
Title:
Numerical solution of singularly perturbed parabolic convection-diffusion- reaction problems with two small parameters 
Journal:
BIT Numerical Mathematics 
Year:
2016 
Volume:
56 
Page:
51-76 
Keywords:
Parabolic partial differential equation, · Convection-diffusion-reaction problem, · Adaptive mesh, · Moving mesh method, · Mesh equidistribution, · Singularly perturbed problem, · Upwind scheme, · Uniform convergence 
Abstract:
This paper discusses the numerical solution of linear 1-D singularly perturbed parabolic convection-diffusion-reaction problems with two small parameters using a moving mesh-adaptive algorithm which adapts meshes to boundary layers. The meshes are generated by the equidistribution of a special positive monitor function. Parameter independent uniform convergence is shown for a class of model problems and the obtained result hold even for the limiting case where the perturbation parameters are zero. Numerical experiments are presented that illustrate the first-order parameter uniform convergence, and also show that the new approach has better accuracy compared with current methods 
Entered by:
Venkata Dantham on 2020-08-04 
 
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