Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions

Table 2

Maximum errors for Example 2.3.

𝑡⧵𝑥	0.1	0.2	0.4	0.5	0.7	0.8	0.9
0.1	2×10^−5	10^−5	10^−6	9×10^−8	5×10^−6	10^−5	2×10^−5
0.2	3×10^−4	2×10^−4	2×10^−5	5×10^−6	9×10^−5	2×10^−4	3×10^−4
0.4	3×10^−3	3×10^−3	7×10^−4	3×10^−4	2×10^−3	3×10^−3	6×10^−3
0.5	6×10^−3	6×10^−3	2×10^−3	1×10^−3	4×10^−3	9×10^−3	10^−2
0.7	10^−2	10^−2	10^−2	9.9×10^−3	2×10^−2	4×10^−2	6×10^−2
0.8	2×10^−2	2×10^−2	2×10^−2	2×10^−2	4×10^−2	7×10^−2	0.110 6
0.9	2×10^−2	3×10^−2	3×10^−2	4×10^−2	8×10^−2	0.12594	0.1862