Research Article
Numerical Solution of Burgers–Huxley Equation Using a Higher Order Collocation Method
Table 5
Comparison of
error with three methods considered by Dehghan [
18] taking
, at different times
T.
| | | T | | CPU-time (s) |
| Present method | 0.001 | 0.3 | 6.44E − 008 | 0.0612 | 0.6 | 6.74E − 008 | 0.0665 | 1 | 6.74E − 008 | 0.0689 | 0.0001 | 0.3 | 6.44E − 010 | — | 0.6 | 6.74E − 010 | — | 1 | 6.74E − 010 | — |
| Dehghan 2012 ISF-Gm1 | 0.001 | 0.3 | 3.75E − 008 | — | 0.6 | 3.95E − 008 | — | 1 | 3.96E − 008 | — | 0.0001 | 0.3 | 3.77E − 010 | — | 0.6 | 3.96E − 010 | — | 1 | 3.96E − 010 | — |
| Dehghan 2012 ISF-Gm2 | 0.001 | 0.3 | 2.87E − 008 | — | 0.6 | 2.85E − 008 | — | 1 | 3.05E − 008 | — | 0.0001 | 0.3 | 2.88E − 010 | — | 0.6 | 2.86E − 010 | — | 1 | 3.05E − 010 | — |
| Dehghan 2012 MFDCM | 0.001 | 0.3 | 4.57E − 008 | — | 0.6 | 4.77E − 008 | — | 1 | 4.78E − 008 | — | 0.0001 | 0.3 | 4.57E − 010 | — | 0.6 | 4.78E − 010 | — | 1 | 4.78E − 010 | — |
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