Research Article

Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme

Table 1

Maximum absolute point-wise error and rate of convergence for Example 1 before and after Richardson extrapolation method applied, where , , and .

M,N 32,3264,64128,128256,256512,512
Before
5.5909-032.7792-031.3847-036.9081-043.4501-04
6.2590-033.3063-031.5449-037.7016-043.8448-04
6.2656-033.1096-031.5465-037.7096-043.8488-04
6.2657-033.1096-031.5465-037.7097-043.8488-04
6.2657-033.1096-031.5465-037.7097-043.8488-04
6.2657-033.1096-031.5465-037.7097-043.8488-04

Rate of convergence
1.01071.00771.00431.0022
After
1.8542-045.5542-051.5119-053.9402-061.0055-06
2.2699-046.6325-051.7858-054.6297-061.1786-06
2.2742-046.6437e-051.7886-054.6369-061.1804-06
2.2743-046.6438-051.7887-054.6370-061.1804-06
2.2743-046.6438-051.7887-054.6370-061.1804-06
2.2743-046.6438-051.7887-054.6370-061.1804-06

Rate of convergence
1.77531.89311.94761.9739