The GDTM-Padé Technique for the Nonlinear Lattice Equations

Table 2

Comparisons of the absolute errors between the GDTM solutions and GDTM-Padé solutions for (1.2) with 𝑐=−0.5, 𝑑=−2 and 𝑛=1.

𝑡	GDTM	GDTM-Padé	GDTM	GDTM-Padé
0	0	0	0	0
1	1.05×10^−3	2.54×10^−4	2.05×10^−4	9.79×10^−6
2	0.0176	1.33×10^−3	5.99×10^−3	1.37×10^−4
3	0.1020	2.72×10^−3	0.0412	4.96×10^−4
4	0.3903	4.01×10^−3	0.1555	1.07×10^−3
5	1.1838	5.08×10^−3	0.4214	1.79×10^−3
6	3.0662	5.94×10^−3	0.9197	2.56×10^−3
7	7.0570	6.62×10^−3	1.7175	3.35×10^−3
8	14.7982	7.17×10^−3	2.8349	4.11×10^−3
9	28.7776	7.62×10^−3	4.2038	4.83×10^−3
10	52.5858	7.99×10^−3	5.6177	5.51×10^−3