Research Article

Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method

Table 1

Absolute error and relative error of approximating the solution of (29) when and , using RPSM at .


3 1 610.4605 576.6769 33.7836 0.0553
0.5 300.9990 299.2057 1.7932 0.0060
0.25 211.3580 211.2541 0.1039 0.0005
0.125 177.1110 177.1047 0.0063 0

5 1 610.4605 608.4086 2.0518 0.0034
0.5 300.9990 300.9703 0.0286 0.0001
0.25 211.3580 211.3576 0.0004 0
0.125 177.1110 177.1110 0 0

7 1 610.4605 610.3908 0.0696 0.0001
0.5 300.9990 300.9987 0.0002 0
0.25 211.3580 211.3580 0 0
0.125 177.1110 177.1110 0 0

9 1 610.4605 610.4590 0.0015 0
0.5 300.9990 300.9990 0 0
0.25 211.3580 211.3580 0 0
0.125 177.1110 177.1110 0 0