Research Article
A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation
Table 9
The absolute error for
, , and
.
| | | Analytic solution | ADM | PASE-I scheme | Solution | AE | Solution | AE |
| 0.1 | 0.0005 | 0.695426 | 0.694024 | 1.40177e − 03 | 0.694903 | 5.22719e − 04 | 0.0001 | 0.694792 | 0.694986 | 2.80396e − 04 | 0.694779 | 1.22063e − 05 | 0.0010 | 0.695625 | 0.692822 | 2.80301e − 03 | 0.695055 | 5.69646e − 04 |
| 0.5 | 0.0005 | 0.646297 | 0.644952 | 1.34526e − 03 | 0.646237 | 6.04821e − 05 | 0.0001 | 0.646130 | 0.645861 | 2.69094e − 04 | 0.646118 | 1.18993e − 05 | 0.0010 | 0.646506 | 0.643816 | 2.69000e − 03 | 0.646385 | 1.20878e − 04 |
| 0.9 | 0.0005 | 0.595481 | 0.594204 | 1.27699e − 03 | 0.595920 | 4.38621e − 04 | 0.0001 | 0.595818 | 0.595055 | 2.55438e − 04 | 0.595807 | 1.12264e − 05 | 0.0010 | 0.595695 | 0.593141 | 2.55346e − 03 | 0.595431 | 3.69858e − 04 |
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