Approximate Solution of Nonlinear Klein-Gordon Equation Using Sobolev Gradients

Table 1

Comparison of solution for Example 4 using Euclidean and Sobolev Gradients with , , and .

	gradient			gradient
		Iterations	CPUs		Iterations	CPUs
10		36015	0.1228	1.0	6469	1.4608
20		228336	6.6846	1.0	8060	4.7661
50		2181749	99.6085	1.0	9985	26.0143
70	—	—	—	1.0	10671	63.8609