Research Article

Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version

Table 1

Comparison between exact solution (6.2) for (6.1) to the results of approximations (6.9), (6.13), and (6.14).

Homotopy (6.3) Homotopy (6.10) Homotopy (6.10)
Order 2 4
Exact (6.2) RBHPM (6.9) HPM (6.13) HPM (6.14)

0.00
0.50
1.50
2.00
2.50
3.50
4.00
4.50
5.00
5.50
6.00
6.50
7.00

A.A.E. 8.15 (−3) 1.84 (−2) 8.93 (−3)