A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations

Table 4

The results of the approximate solutions of Example 3 and

	Runge-Kutta method	Adomian decomposition method	Proposed method
0	0	0	0
0.1	1.77737e-02	1.77742e-02	1.78076e-02
0.2	4.19657e-02	4.19670e-02	4.21365e-02
0.3	7.36730e-02	7.36813e-02	7.40067e-02
0.4	1.13439e-01	1.13495e-01	1.13882e-01
0.5	1.60989e-01	1.61261e-01	1.61540e-01
0.6	2.15187e-01	2.16202e-01	2.15944e-01
0.7	2.74266e-01	2.77198e-01	2.75111e-01
0.8	3.36210e-01	3.42288e-01	3.35980e-01
0.9	3.99101e-01	4.04491e-01	3.95286e-01
1	4.61346e-01	4.37632e-01	4.44430e-01