TY - EJOU
AU - Deb, Briti Sundar
AU - Natesan, Srinivasan
TI - Richardson Extrapolation Method for Singularly Perturbed Coupled System of Convection-Diffusion Boundary-Value Problems
T2 - Computer Modeling in Engineering \& Sciences
PY - 2008
VL - 38
IS - 2
SN - 1526-1506
AB - This paper presents an almost second--order uniformly convergent Richardson extrapolation method for convection- dominated coupled system of boundary value problems. First, we solve the system by using the classical finite difference scheme on the layer resolving Shishkin mesh, and then we construct the Richardson approximation solution using the solutions obtained on *N* and *2N* mesh intervals. Second-order parameter--uniform error estimate is derived. The proposed method is applied to a test example for verification of the theoretical results for the case ε ≤ N^{−1}.
KW - Singularly perturbed coupled system of equations
KW - Boundary layer
KW - Piecewise-uniform Shishkin mesh
KW - Richardson extrapolation
KW - Uniform convergence
DO - 10.3970/cmes.2008.038.179