KdV Equation Solution by Double Laplace Adomian Decomposition Method and Its Convergence Analysis

Table 2

Comparison of the approximate solutions obtained via DLADM with Picard’s successive approximation method (SAM) for Example 1 when

x	SAM solution [34]	DLADM solution
0	0.000000000000000	0.010000000000000
0.1	0.101000000000000	0.119991666700000
0.2	0.202000000000000	0.229866671800000
0.3	0.303000000000000	0.339325086800000
0.4	0.404000000000000	0.447867316900000
0.5	0.505000000000000	0.554794766900000
0.6	0.6060000000000000	0.659211108600000
0.7	0.707000000000000	0.760024347000000
0.8	0.808000000000000	0.855949887000000
0.9	0.909000000000000	0.945514800400000
1	1.010000000000000	1.027063492000000