Comparing numerical methods for solving time-fractional reaction-diffusion equations
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2012-08-29
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Hindawi
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info:eu-repo/semantics/openAccess
Attribution-ShareAlike 3.0 United States
Attribution-ShareAlike 3.0 United States
Özet
Multivariate Pade approximation ´ MPA is applied to numerically approximate the solutions
of time-fractional reaction-diffusion equations, and the numerical results are compared with
solutions obtained by the generalized differential transform method GDTM. The fractional
derivatives are described in the Caputo sense. Two illustrative examples are given to demonstrate
the effectiveness of the multivariate Pade approximation ´ MPA. The results reveal that the
multivariate Pade approximation ´ MPA is very effective and convenient for solving timefractional reaction-diffusion equations
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Turut, V., Güzel, N. (2012). Comparing numerical methods for solving time-fractional reaction-diffusion equations. International Scholarly Research Notices. https://doi.org/10.5402/2012/737206
