Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method

Table 2

The approximate solution (5.12) in comparison with the exact solution (5.8) if𝑏=−1,𝑎=1,𝜆=0.1,and𝑡=0.1.

𝑥	𝑢exact	𝑢homotopy	|𝑢exact−𝑢homotopy|
−50	−0.0000423797	−0.0000423797	2.12648×10^−13
−40	−0.000303737	−0.000303737	1.41527×10^−12
−30	−0.00206958	−0.00206958	7.86068×10^−12
−20	−0.0124247	−0.0124247	2.60451×10^−11
−10	−0.0563527	0.0563527	3.22282×10^−12
0	−0.158082	−0.158082	7.76927×10^−11
10	−0.259668	−0.259668	3.28948×10^−12
20	−0.303431	−0.303431	2.6031×10^−11
30	−0.313732	−0.313732	7.85122×10^−12
40	−0.315488	−0.315488	1.41315×10^−12
50	−0.315747	−0.315747	2.12275×10^−13