On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method

Table 3

Numerical result for Example 3.4 and Example 4.3.

𝑥	Exact solution	DTM (𝑁=18)	ADM (𝑁=18)
0.0	1	1	1
0.1	0.9512294245	0.9492075127	0.9492075127
0.2	0.9048374181	0.8916268943	0.8916268943
0.3	0.8607079765	0.8251427077	0.8251427077
0.4	0.8187307532	0.7534730280	0.7534730280
0.5	0.7788007831	0.6839803183	0.6839803183
0.6	0.7408182206	0.6254839642	0.6254839642
0.7	0.7046880897	0.7046783358	0.5860748693
0.8	0.6703200461	0.6703157625	0.5709325210
0.9	0.6376281517	0.6376273947	0.5801448253
1.0	0.6065306598	0.6065306599	0.6065306590