Research Article

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

Table 3

Maximum absolute point-wise error and rate of convergence for Example 3 before and after Richardson extrapolation method applied, where , , and .

M,N 8,816,1632,3264,64128,128
Before
6.1105-034.0192-032.4412-031.4312-037.9252-04
6.5144-034.2051-032.5534-031.4901-038.2602-04
6.5190-034.2076-032.5547-031.4908-038.2641-04
6.5190-034.2076-032.5547-031.4908-038.2641-04
6.5190-034.2076-032.5547-031.4908-038.2641-04
6.5190-034.2076-032.5547-031.4908-038.2641-04

After
1.9128-039.9156-044.3385-042.1411-044.8046-05
2.0383-031.0236-034.5811-042.1921-045.4179-05
2.0407-031.0240-034.5837-042.1924-045.4255-05
2.0407-031.0240-034.5837-042.1924-045.4256-05
2.0407-031.0240-034.5837-042.1924-045.4256-05
2.0407-031.0240-034.5837-042.1924-045.4256-05