Theory and Modern Applications
Table 8 A comparison of maximum absolute errors at \(T=0.5\) for Problem 3
From: Extended cubic B-splines in the numerical solution of time fractional telegraph equation
x | Collocation method [1] | Proposed method | ||
|---|---|---|---|---|
α = 0.925 | α = 0.975 | α = 0.925 | α = 0.975 | |
0.0 | 8.674E−19 | 1.735E−18 | 4.718E−16 | 1.296E−14 |
0.1 | 1.571E−03 | 5.550E−04 | 4.478E−05 | 1.213E−05 |
0.2 | 2.712E−03 | 9.255E−04 | 9.144E−05 | 2.431E−05 |
0.3 | 3.736E−03 | 1.242E−03 | 1.317E−04 | 3.601E−05 |
0.4 | 4.782E−03 | 1.580E−03 | 1.775E−04 | 4.694E−05 |
0.5 | 5.829E−03 | 1.921E−03 | 2.240E−04 | 5.926E−05 |
0.6 | 6.702E−03 | 2.208E−03 | 2.357E−04 | 7.234E−05 |
0.7 | 7.080E−03 | 2.330E−03 | 3.064E−04 | 7.153E−05 |
0.8 | 6.503E−03 | 2.132E−03 | 4.151E−04 | 3.442E−05 |
0.9 | 4.382E−03 | 1.428E−03 | 3.649E−05 | 2.507E−05 |
1.0 | 8.882E−16 | 2.109E−15 | 2.220E−16 | 1.110E−16 |