Research Article

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

Table 2

Maximum absolute point-wise error rate of convergence for Example 2 before and after Richardson extrapolation method applied, where , , and .

M,N 16,1632,3264,64128,128256,256
Before
8.9343-034.4707-032.2286-031.1098-035.5384-04
9.3800-034.7241-032.3512-031.1687-035.8202-04
9.3844-034.7269-032.3526-031.1693-035.8233-04
9.3845-034.7269-032.3526-031.1694-035.8233-04
9.3845-034.7269-032.3526-031.1694-035.8233-04
9.3845-034.7269-032.3526-031.1694-035.8233-04

Rate of convergence
0.98941.00661.00851.0058
After
1.8103-035.1433-041.5297-043.9939-051.0095-05
2.0571-036.2361-041.9584-045.1831-051.3148-05
2.0599-036.2482-041.9636-045.1977-051.3185-05
2.0599-036.2483-041.9637-045.1979-051.3186-05
2.0599-036.2483-041.9637-045.1979-051.3186-05
2.0599-036.2483-041.9637-045.1979-051.3186-05

Rate of convergence
1.72101.66991.91761.9789