Nonlinear Klein-Gordon and Schrödinger Equations by the Projected Differential Transform Method

Table 2

Comparison for the approximate values obtained by ADM, VIM, DTM, and PDTM at various valuesof 𝑥 and 𝑡.

𝑥	𝑡=0.1
	ADM	VIM	DTM	PDTM
0.2	1.190502988	1.190503087	1.190602734	1.190503088
0.4	1.377844211	1.377844710	1.378073322	1.377844757
0.6	1.549620480	1.549621939	1.550000812	1.549622051
0.8	1.699081273	1.699084244	1.699640074	1.699084436
𝑥	𝑡=0.2
	ADM	VIM	DTM	PDTM
0.2	1.166134875	1.166138050	1.166138150	1.166138093
0.4	1.343423788	1.343432104	1.343438811	1.343435073
0.6	1.505052082	1.505073495	1.505124251	1.505080633
0.8	1.644954933	1.644997540	1.645259446	1.645009691
𝑥	𝑡=0.3
	ADM	VIM	DTM	PDTM
0.2	1.125945576	1.125974851	1.125975665	1.125975548
0.4	1.287943874	1.287088824	1.287130047	1.287122513
0.6	1.432404521	1.432497282	1.432663372	1.432577763
0.8	1.557040327	1.557215916	1.557830079	1.557352520