Mathematical Problems in Engineering / 2013 / Article / Tab 1

Research Article

Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method

Table 1

Comparison of the numerical results of approximate solutions obtained via HDM, VIM and HPM with exact solution of (27).

Variable HDM VIMHPMExact 1 = 2 =

1.050.781620.7816190.781620.7818060.0001866170.000187358
1.060.7854370.7854260.7854370.7856640.0002263810.000237859
1.070.7891870.7891790.7891870.7894610.0002740990.000282221
1.080.7928680.7927890.7928680.7931990.0003312610.000410097
1.090.7964790.7964670.7964790.7968780.0003996150.000411144
1.100.8000180.8100170.8000180.8004990.0004812140.00951798
1.11
0.8034840.81004840.8040620.8040620.0005784580.00598601

The numerical results show that the HPM and HDM are more accurate than the VIM in this case.

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