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

Table 3

The approximate solutions (5.19) and (5.20) in comparison with the exact solutions (5.14) and (5.15), respectively, if 𝑡=0.5, 𝑘=0.1, 𝑐=0.2.

𝑥	|𝑢exact−𝑢app|	|𝑣exact−𝑣app|
−2	1.43476×10^−7	1.21337×10^−8
−1.5	1.34152×10^−7	8.68819×10^−9
−1	1.27786×10^−7	5.6321×10^−9
−0.5	1.24096×10^−7	2.82205×10^−9
0	1.22925×10^−7	1.33341×10^−10
0.5	1.2422×10^−7	2.54966×10^−9
1	1.28038×10^−7	5.34219×10^−9
1.5	1.34545×10^−7	8.36762×10^−9
2	1.44027×10^−7	1.17669×10^−8