Research Article

An Improved Version of Residual Power Series Method for Space-Time Fractional Problems

Table 5

The approximate values of for various values of at and .

Exact

0.10.10.25000-0.000690.123850.247360.369820.73096
0.20.33333-0.010450.155680.319960.482380.95855
0.30.50000-0.054240.195480.441030.682421.38158
0.41.00000-0.260210.243250.730051.200182.51057

0.20.10.500000.000450.246830.484870.714581.35370
0.20.66667-0.019600.309440.623660.923071.73240
0.31.00000-0.109920.387840.852261.283362.37663
0.42.00000-0.545680.482031.376402.137443.62055

0.30.10.750000.005270.368040.702681.009201.75999
0.21.00000-0.026140.459360.894861.280362.13685
0.31.50000-0.168470.573961.203891.721322.59862
0.43.00000-0.881660.711841.855342.548851.92936

0.40.11.000000.015610.486610.890951.228611.84161
0.21.33333-0.028770.603521.117291.512551.98720
0.32.00000-0.231340.750721.466121.914841.66103
0.44.00000-1.293430.928212.083192.17149-3.96359