Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-05-61-18
DOI: https://dx.doi.org/10.15863/TAS.2018.05.61.18
Language: Russian
Citation: Abdirashidov A, Kadirov N, Ortikov B, Abdurashidov A (2018) EXACT SOLUTION OF FRACTIONAL DIFFUSION EQUATIONS USING THE VARIATIONAL ITERATION METHOD AND ADOMIAN DECOMPOSITION METHOD. ISJ Theoretical & Applied Science, 05 (61): 101-107. Soi: http://s-o-i.org/1.1/TAS-05-61-18 Doi: https://dx.doi.org/10.15863/TAS.2018.05.61.18 |
Pages: 101-107
Published: 30.05.2018
Abstract: In this paper, variational iteration method, Adomian decomposition method and method of separation of variables has been applied to obtain exact solutions of fractional diffusion equations. The new exact solutions of these equations have been obtained. It has been shown that the proposed methods provide a very effective, and powerful mathematical tool for solving nonlinear partial differential equations.
Key words: fractional diffusion equation, variational iteration method, Adomian decomposition method, method of separation of variables, fractional partial differential equations, exact solutions.
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