New Iterative Method Based on Laplace Decomposition Algorithm

Table 1

Comparison of the absolute errors for Example 1.

𝑡	Exact solution	Standard LDA	Present method
		𝑛=5	𝑛=5
0.2	1.048708864495296	8.803𝐸−11	1.900𝐸−13
0.6	1.137669652809217	6.594𝐸−8	4.123𝐸−10
0.8	1.177476957990361	3.753𝐸−7	3.077𝐸−9
1.0	1.213898289556670	1.450𝐸−6	1.461𝐸−8
2.0	1.339484983470599	9.834𝐸−5	1.838𝐸−6
4.0	1.276427846019296	6.905𝐸−3	2.299𝐸−4
6.0	8.410651664398781𝐸−1	8.393𝐸−2	3.960𝐸−3
8.0	2.421580540539403𝐸−1	4.911𝐸−1	3.122𝐸−2
10	2.331110590497953𝐸−1	1.910	1.643𝐸−1