Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation

Table 2

Numerical example for the solution of DP equation, 𝜉₀=0, 𝜔=1, 𝑡=0, and 𝜀=0.05.

𝑥	Initial solution 𝑢0	1th approximate solution 𝑢1	Absolute error
0.1	−0.498752	−0.4987524	2.08385∗10^−6
0.11	−0.498491	−0.498493	2.77376∗10^−6
0.12	−0.498204	−0.4982076	3.6013∗10^−6
0.13	−0.497893	−0.4978976	4.57902∗10^−6
0.14	−0.497558	−0.4975637	5.71902∗10^−6
0.15	−0.497198	−0.497205	7.03521∗10^−6
0.16	−0.496814	−0.4968225	8.5388∗10^−6
0.17	−0.496405	−0.496415	1.02428∗10^−5
0.18	−0.495972	−0.4959842	1.21599∗10^−5
0.19	−0.495515	−0.495529	1.43025∗10^−5
0.2	−0.495033	−0.495049	1.66834∗10^−5