Research Article

Boundary Layer Resolving Exact Difference Scheme for Solving Singularly Perturbed Convection-Diffusion-Reaction Equation

Table 2

Example 2, the maximum absolute error, -uniform error and -uniform rate of convergence .


On uniform mesh
1.8404e − 039.2256e − 044.6117e − 042.3048e − 041.1521e − 04
1.8404e − 039.2256e − 044.6117e − 042.3048e − 041.1521e − 04
1.8404e − 039.2256e − 044.6117e − 042.3048e − 041.1521e − 04
1.8404e − 039.2256e − 044.6117e − 042.3048e − 041.1521e − 04
1.8404e − 039.2256e − 044.6117e − 042.3048e − 041.1521e − 04
1.8404e − 039.2256e − 044.6117e − 042.3048e − 041.1521e − 04
0.99631.00031.00071.0004

On Shishkin mesh
2.5298e − 031.2933e − 036.6114e − 043.3536e − 041.6903e − 04
2.5302e − 031.2939e − 036.6166e − 043.3570e − 041.6924e − 04
2.5303e − 031.2940e − 036.6171e − 043.3574e − 041.6926e − 04
2.5303e − 031.2940e − 036.6172e − 043.3574e − 041.6926e − 04
2.5303e − 031.2940e − 036.6172e − 043.3574e − 041.6926e − 04
2.5303e − 031.2940e − 036.6172e − 043.3574e − 041.6926e − 04
0.96750.96750.97890.9881