Research Article
Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method
Table 1
Absolute error between the HAM solution
and the exact solution
with
, for the 5th and 10th perturbation terms.
| | | (5th terms) | (10th terms) |
| | | | | | | 0.000231565 | 0.000231565 | | | 0.000266312 | 0.000266312 | | | 0.000284713 | 0.000284713 | | | 0.000296001 | 0.000296001 | | | 0.000303069 | 0.000303069 | | | 0.00030722 | 0.00030722 | | | 0.000309167 | 0.000309167 | | | 0.000309357 | 0.000309357 | | | 0.000308099 | 0.000308099 | | | 0.000305621 | 0.000305621 | | | | | | | 0.000373782 | 0.000373782 | | | 0.000441939 | 0.000441939 | | | 0.00047875 | 0.00047875 | | | 0.000501839 | 0.000501839 | | | 0.00051681 | 0.00051681 | | | 0.000526196 | 0.000526196 | | | 0.000531384 | 0.000531384 | | | 0.000533242 | 0.000533242 | | | 0.000532363 | 0.000532363 | | | 0.000529188 | 0.000529188 | | | | | | | 0.000486726 | 0.000486726 | | | 0.000586844 | 0.000586844 | | | 0.000641684 | 0.000641684 | | | 0.000676534 | 0.000676534 | | | 0.000699548 | 0.000699548 | | | 0.000714431 | 0.000714431 | | | 0.00072322 | 0.00072322 | | | 0.000727182 | 0.000727182 | | | 0.000727186 | 0.000727186 | | | 0.000723875 | 0.000723875 |
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