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

Table 3

Comparison for the 𝐿_∞ and 𝐿₂ error estimates of the approximate solutions obtained by RBF, DTM, and PDTM at each time.

𝑡	𝐿∞
	RBF	DTM	PDTM
1	5.0705×10^−5	3.7295×10^−6	3.2870×10^−8
2	5.0260×10^−4	8.6492×10^−5	7.5361×10^−5
3	2.0612×10^−3	7.3602×10^−3	7.3229×10^−3
4	6.5720×10^−3	1.9639×10^−1	1.9630×10^−1
5	1.9067×10^−2	2.6050×10^0	2.6048×10^0
𝑡	𝐿2
	RBF	DTM	PDTM
1	2.9474×10^−4	9.8387×10^−7	1.5413×10^−8
2	2.7082×10^−3	3.5433×10^−5	3.2860×10^−5
3	9.7246×10^−3	3.0402×10^−3	3.0333×10^−3
4	2.7881×10^−2	7.8423×10^−2	7.8405×10^−2
5	7.7337×10^−2	1.0171×10^0	1.0170×10^0