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 | VIM | HPM | Exact | 1 = | 2 = |
| 1.05 | 0.78162 | 0.781619 | 0.78162 | 0.781806 | 0.000186617 | 0.000187358 | 1.06 | 0.785437 | 0.785426 | 0.785437 | 0.785664 | 0.000226381 | 0.000237859 | 1.07 | 0.789187 | 0.789179 | 0.789187 | 0.789461 | 0.000274099 | 0.000282221 | 1.08 | 0.792868 | 0.792789 | 0.792868 | 0.793199 | 0.000331261 | 0.000410097 | 1.09 | 0.796479 | 0.796467 | 0.796479 | 0.796878 | 0.000399615 | 0.000411144 | 1.10 | 0.800018 | 0.810017 | 0.800018 | 0.800499 | 0.000481214 | 0.00951798 | 1.11
| 0.803484 | 0.8100484 | 0.804062 | 0.804062 | 0.000578458 | 0.00598601 |
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The numerical results show that the HPM and HDM are more accurate than the VIM in this case.
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