Research Article

An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems

Table 3

Comparison of solutions for Example 3.1, Case 4.

x FDM [28] ADM [28] VIM [28] Present method Exact

0 0 0 0 0 0
0.1 0.039473 0.039874 0.039874 0.03975004 0.03975003
0.2 0.157703 0.158512 0.158512 0.15703584 0.15703582
0.3 0.352402 0.353625 0.353625 0.34736999 0.34736998
0.4 0.620435 0.622083 0.622083 0.60469514 0.60469515
0.5 0.957963 0.960047 0.960047 0.92176757 0.92176764
0.6 1.360551 1.363093 1.363093 1.29045651 1.29045656
0.7 1.823267 1.826257 1.826257 1.70200794 1.70200797
0.8 2.340749 2.344224 2.344224 2.14728692 2.14728693
0.9 2.907324 2.911278 2.911278 2.61700100 2.61700101
1 3.517013 3.521462 3.521462 3.10190571 3.10190571