A New Extended Padé Approximation and Its Application

Table 1

The comparison between the collocation method based on [10/1] Müntz Padé approximation and the exact solution of 𝜆=0.16, 𝛽=1, 𝛾=1, of Experiment 2.

𝑥	Exact	Approximate	Error
0.0	0.0000000000	0.0000000000	0.000000000
0.1	0.0953101798	0.0953103008	0.000000121
0.2	0.18232155679	0.1823218407	0.000000284
0.3	0.26236426446	0.2623649824	0.000000718
0.4	0.33647223662	0.3364726886	0.000000452
0.5	0.40546510810	0.40546528510	0.000000177
0.6	0.47000362924	0.4700043522	0.000000723
0.7	0.53062825106	0.5306290280	0.000000777
0.8	0.58778666490	0.58778755290	0.000000888
0.9	0.64185388617	0.64185410017	0.000000214
1.0	0.69314718055	0.69314789955	0.000000719