Solution of the Differential-Difference Equations by Optimal Homotopy Asymptotic Method

Table 2

Comparisons of first, second, and third order and exact solutions at different values of 𝑛 at 𝑡=1.

𝑛	First order	Second order	Third order	Exact sol.
1	0.527142	0.858619	0.333333	0.333333
2	1.05428	1.71724	0.666665	0.666665
3	1.58143	2.57586	0.999998	0.999998
4	2.10857	3.43447	1.33333	1.33333
5	2.63571	4.29309	1.66666	1.66666
6	3.16285	5.15171	2	2
7	3.68999	6.01033	2.33333	2.33333
8	4.21713	6.86895	2.66666	2.66666
9	4.74428	7.72757	2.99999	2.99999
10	5.27142	8.58619	3.33333	3.33333