Approximate Solution of Two-Dimensional Nonlinear Wave Equation by Optimal Homotopy Asymptotic Method

Table 1

Comparison of Exact, HPM, and OHAM solutions for different values of and .

		Exact solution	HPM solution	OHAM solution
0	0	0.00000	0.000000	0.00000
0.062	0.162	0.015044	0.015044	0.015044
0.156	0.156	0.024336	0.024336	0.024336
0.225	0.128	0.033504	0.033505	0.033504
0.187	0.275	0.055297	0.055297	0.055297
0.281	0.281	0.078961	0.078961	0.0789608
0.343	0.343	0.117649	0.117650	0.117648
0.350	0.263	0.095834	0.095835	0.095834
0.468	0.468	0.219024	0.219032	0.219022
0.369	0.384	0.141801	0.141810	0.141808
0.350	0.870	0.439700	0.439706	0.439697
0.539	0.403	0.226465	0.226476	0.226463
0.780	0.111	0.310360	0.310263	0.310358
0.593	0.593	0.351649	0.351704	0.351647
0.620	0.685	0.426813	0.426913	0.426808
0.656	0.656	0.430336	0.430462	0.430332
0.781	0.781	0.609961	0.610499	0.609963
0.843	0.843	0.710649	0.711668	0.710652
0.968	0.968	0.937024	0.940295	0.936958
0.975	0.692	0.714744	0.716206	0.714690
1.000	1.000	1.000000	1.004310	0.999877