Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation

Table 1

Numerical example for the solution of DP equation, 𝜉₀=0, 𝜔=1, 𝑡=0, and 𝜀=0.1.

𝑥	Initial solution 𝑢0	1th approximate solution 𝑢1	Absolute error
0.1	−0.498752	−0.498762	−4.16770∗10^−6
0.11	−0.498491	−0.498497	5.54752∗10^−6
0.12	−0.498204	−0.498211	7.2026∗10^−6
0.13	−0.497893	−0.497902	9.15804∗10^−6
0.14	−0.497558	−0.497694	1.53894∗10^−5
0.15	−0.497198	−0.497212	1.407042∗10^−5
0.16	−0.496814	−0.496831	1.706776∗10^−5
0.17	−0.496405	−0.496426	2.04856∗10^−5
0.18	−0.495972	−0.495996	2.43198∗10^−5
0.19	−0.495515	−0.495543	2.86050∗10^−5
0.2	−0.495033	−0.495066	3.33668∗10^−5