Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method

Table 1

The absolute differences corresponding to the HPM solution (red surface), VIM solution (blue surface), and OHPM solution (green surface) for problem (16).

	HPM	VIM	OHPM
𝑥=𝑡=0	0	0	0
𝑥=𝑡=0.2	7.894 10^−5	3.256 10^−7	1.081 10^−5
𝑥=𝑡=0.4	1.171 10^−2	2.555 10^−5	1.398 10^−5
𝑥=𝑡=0.6	2.346 10^−1	2.819 10^−4	9.787 10^−6
𝑥=𝑡=0.8	2.075	1.420 10^−3	3.280 10^−5
𝑥=𝑡=1	1.172 10^1	4.700 10^−3	2.408 10^−7