Modified Differential Transform Method for Two Singular Boundary Values Problems

Table 2

Comparison of relative errors of the present method for Example 3.

𝑥	True solution 𝑢(𝑥)	Present DTM8 method
0.01	1.0101	0
0.08	1.0833	1.90𝐸−13
0.16	1.1735	7.50𝐸−12
0.32	1.3771	1.00𝐸−10
0.48	1.6161	3.90𝐸−09
0.64	1.8965	5.30𝐸−08
0.8	2.2255	4.00𝐸−07
0.96	2.6117	2.10𝐸−06