Paper Info
Title
A singularly perturbed parabolic problem with a layer in the initial condition.
Abstract
Singularly perturbed reaction–diffusion parabolic problems with non-smooth initial conditions are studied. A finite difference method is constructed on a piecewise-uniform mesh for a parabolic problem with an initial condition containing a layer. The parameter-uniform convergence of this numerical method is analyzed. This numerical method is used to generate an approximation to the solution of a singularly perturbed parabolic problem with a discontinuous initial condition.
Year
DOI
Venue
2012
10.1016/j.amc.2012.06.028
Applied Mathematics and Computation
Keywords
Field
DocType
Singular perturbation,Discontinuous data,Shishkin mesh
Convergence (routing),Mathematical optimization,Parabolic problem,Mathematical analysis,Singular perturbation,Initial value problem,Finite difference method,Numerical analysis,Mathematics,Parabola
Journal
Volume
Issue
ISSN
219
2
0096-3003
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
j tornero l gracia1203.50
Eugene O'Riordan212019.17