Research Article

Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations

Table 4

Numerical values when , 0.50, 0.75, and 1.0 for (58).

0.250.50
0.250.500.751.000.250.500.751.00

VIM0.000090.200110.400130.60015−0.164880.002150.169170.33620
VIMLW0.000090.200110.400130.59864−0.164890.002150.169200.33283
Exact0.000000.200000.400000.60000−0.166670.000000.166670.33333

0.751.00
0.250.500.751.000.250.500.751.00

VIM−0.27697−0.132370.012240.15694−0.35057−0.22068−0.090790.03909
VIMLW−0.27701−0.132370.012280.15213−0.35070−0.22068−0.090780.03422
Exact−0.28571−0.142860.000000.14286−0.37500−0.25000−0.125000.00000