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

Table 4

The approximate solutions (5.27) and (5.28) in comparison with the exact solutions (5.22) and (5.23), respectively, if 𝑡=0.5, 𝑘=0.1,𝑐=0.2,𝜉₀=2, and 𝜉₁=3.

𝑥	|𝑢ex−𝑢app|	|𝑣ex−𝑣app|
−50	8.13281×10^−5	9.25371×10^−14
−40	9.81849×10^−5	3.88495×10^−13
−30	1.22963×10^−4	2.56975×10^−12
−20	1.61595×10^−4	4.11388×10^−11
−10	4.68634×10^−10	8.35654×10^−9
0	6.24133×10^−3	1.42883×10^−6
10	5.81547×10^−4	2.09106×10^−10
20	2.70634×10^−4	6.79057×10^−12
30	1.73048×10^−4	7.77128×10^−13
40	1.26497×10^−5	1.58651×10^−13
50	9.94724×10^−5	4.52416×10^−14