New Iterative Method Based on Laplace Decomposition Algorithm

Table 3

Comparison of the absolute errors for Example 3.

𝑡	Exact solution	DTM [1]	Standard LDA	Present method
		𝑁=4	𝑛=4	𝑛=4
0.2	2.442805516320340𝐸−1	1.388𝐸−5	2.6127𝐸−6	2.6093𝐸−6
0.4	5.967298790565082𝐸−1	4.632𝐸−4	1.5387𝐸−4	1.5303𝐸−4
0.6	1.093271280234305	3.671𝐸−3	1.6166𝐸−3	1.5961𝐸−3
0.8	1.780432742793974	1.617𝐸−2	8.4028𝐸−3	8.2072𝐸−3
1.0	2.718281828459046	5.162𝐸−2	2.9756𝐸−2	2.8645𝐸−2
2.0	14.77811219786130	2.111	1.4168	1.1919
3.0	60.25661076956300	21.25	14.341	9.6958