Modified Differential Transform Method for Two Singular Boundary Values Problems

Table 3

Comparison of relative errors of the present method for Example 4.

𝑥	True solution 𝑢(𝑥)	Geng [28] 𝑈5,50	Present DTM8 method
0.08	0.0064	over 1𝐸−7	0
0.16	0.0256	over 2𝐸−7	1.9𝐸−13
0.24	0.0576	over 2𝐸−6	7.3𝐸−12
0.32	0.1024	over 3𝐸−6	9.7𝐸−11
0.48	0.2304	over 1𝐸−5	3.7𝐸−09
0.64	0.4096	over 1𝐸−6	4.9𝐸−08
0.80	0.6400	over 3𝐸−6	3.7𝐸−07
0.96	0.9216	over 1𝐸−7	7.0𝐸−07