Analytical solution of the reaction-diffusion equation with space-time fractional derivatives by means of the generalized differential transform method
Autor: | MRIDULA GARG, PRATIBHA MANOHAR |
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Jazyk: | angličtina |
Rok vydání: | 2013 |
Předmět: | |
Zdroj: | Kuwait Journal of Science, Vol 40, Iss 1 (2013) |
Druh dokumentu: | article |
ISSN: | 2307-4108 2307-4116 |
Popis: | ABSTRACT In the present paper we use generalized differential transform method to derive analytical solution of linear and non-linear space-time fractional reaction-diffusion equations on a finite domain. The space and time fractional derivatives are considered in Caputo sense. Some examples are given and it has been observed that the generalized differential transform method is very effective and convenient and overcomes the difficulty of Adomian decomposition method and homotopy perturbation method. |
Databáze: | Directory of Open Access Journals |
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