Research Article
Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method
Table 1
Comparison of absolute error of Example
1 with
, , , and
.
| | | | | CFDM6 | ADM [23] | CFDM [6] | ETDM [14] | CFDM6 | CFDM [6] | ETDM [14] |
| 0.001 | 0.1 | 2.2204-16 | 1.94-06 | 1.01-07 | 1.15-08 | 1.1102-16 | 1.75-08 | 7.71-09 | 0.5 | 1.1102-16 | 1.94-06 | 1.04-07 | 3.07-13 | 1.1102-16 | 1.75-08 | 2.07-13 | 0.9 | 4.4409-17 | 1.94-06 | 1.01-07 | 1.15-08 | 3.3307-16 | 1.75-08 | 7.71-09 |
| 0.010 | 0.1 | 5.8818-16 | 1.94-05 | 7.53-07 | 6.02-08 | 4.4409-15 | 1.27-06 | 4.05-08 | 0.5 | 1.6653-16 | 1.94-05 | 1.04-06 | 8.96-13 | 4.2188-15 | 1.75-06 | 5.56-13 | 0.9 | 1.1102-15 | 1.94-05 | 7.53-07 | 6.02-08 | 4.8850-15 | 1.27-06 | 4.05-08 |
| 100 | 0.1 | 2.2204-16 | — | 7.53-07 | 1.01-07 | 5.5511-16 | — | 5.73-08 | 0.5 | 1.1102-15 | — | 1.04-06 | 1.50-11 | 2.7756-15 | — | 3.51-12 | 0.9 | 1.1102-16 | — | 7.53-07 | 1.01-07 | 1.3323-15 | — | 5.73-08 |
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