Research Article

Nonpolynomial Spline Method for Singularly Perturbed Time-Dependent Parabolic Problem with Two Small Parameters

Table 2

The comparison of the rate of convergence of the proposed scheme for Example 1 where and different values of .


Current method after extrapolation
1.94111.97061.98481.99241.99611.9967
1.93671.84832.10321.99181.99601.9987
1.93731.96761.98341.99171.99581.9989
1.93701.96561.98541.99171.99581.9975
1.93701.96751.98351.99171.99591.9979

Current method before extrapolation
0.94820.97380.98710.99350.99670.9984
0.95130.97530.98750.99380.99690.9985
0.95170.97570.98770.99390.99690.9985
0.95180.97570.98780.99390.99690.9985
0.95180.97580.98780.99390.99690.9985

Method in [30]
1.191.111.061.031.011.01
1.201.111.061.031.021.01
1.201.111.061.031.021.01
1.201.111.061.031.021.01
1.201.111.061.031.021.01