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This article is cited in 5 scientific papers (total in 5 papers)
Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method
R. Darzia, B. Aghelib a Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
b Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Abstract:
The optimal q-homotopy analysis method is employed in order to solve partial differential equations (PDEs) featuring a time-fractional derivative. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples are given. All numerical calculations in this manuscript have been carried out with Mathematica package.
Key words:
nonlinear fractional partial differential equation, optimal q-homotopy analysis method, Caputo derivative.
Received: 29.09.2016 Revised: 01.08.2017
Citation:
R. Darzi, B. Agheli, “Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method”, Sib. Zh. Vychisl. Mat., 21:2 (2018), 171–183; Num. Anal. Appl., 11:2 (2018), 134–145
Linking options:
https://www.mathnet.ru/eng/sjvm676 https://www.mathnet.ru/eng/sjvm/v21/i2/p171
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Abstract page: | 248 | Full-text PDF : | 83 | References: | 23 | First page: | 12 |
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