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)

0.0002315650.000231565
0.0002663120.000266312
0.0002847130.000284713
0.0002960010.000296001
0.0003030690.000303069
0.000307220.00030722
0.0003091670.000309167
0.0003093570.000309357
0.0003080990.000308099
0.0003056210.000305621
0.0003737820.000373782
0.0004419390.000441939
0.000478750.00047875
0.0005018390.000501839
0.000516810.00051681
0.0005261960.000526196
0.0005313840.000531384
0.0005332420.000533242
0.0005323630.000532363
0.0005291880.000529188
0.0004867260.000486726
0.0005868440.000586844
0.0006416840.000641684
0.0006765340.000676534
0.0006995480.000699548
0.0007144310.000714431
0.000723220.00072322
0.0007271820.000727182
0.0007271860.000727186
0.0007238750.000723875