Research Article

A New Approach and Solution Technique to Solve Time Fractional Nonlinear Reaction-Diffusion Equations

Table 2

Comparison of numerical results between different methods for the time fractional Fisher equation. GDTM: generalized differential transform method, Rida et al. [19], HPM: homotpy perturbation method, Khan et al. [35], and FVIM: fractional variational iteration method, Merdan [36].

Present

0.0220.02363842650.02413953700.02362969870.0241417516
0.0420.03257454920.03515526800.03253303300.0351447962
0.0620.04208107510.04894731300.04197769830.0488819720
0.0820.05218792210.06609285860.05199043640.0658898759

PresentExact

0.0220.01691799920.01692793850.01691774860.01692936070.0169282151
0.0420.02003777010.02011172840.02003576510.02012404420.0201217246
0.0620.02356864940.02383701030.02356188260.02386287700.0238595181
0.0820.02751063700.02814875180.02749459720.02822194650.0282178229