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Analytical Approach to Solving Fractional Partial Differential Equation by Optimal q-Homotopy Analysis Method

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Abstract

The optimal q-homotopy analysis method is employed in order to solve partial differential equations (PDEs) featuring a time-fractional derivative. 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 withMathematica package.

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Authors and Affiliations

  1. Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran

    R. Darzi

  2. Department ofMathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    B. Agheli

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  1. R. Darzi
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  2. B. Agheli
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Correspondence to R. Darzi.

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Original Russian Text © R. Darzi, B. Agheli, 2018, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2018, Vol. 21, No. 2, pp. 171–183.

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Darzi, R., Agheli, B. Analytical Approach to Solving Fractional Partial Differential Equation by Optimal q-Homotopy Analysis Method. Numer. Analys. Appl. 11, 134–145 (2018). https://doi.org/10.1134/S1995423918020040

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  • DOI: https://doi.org/10.1134/S1995423918020040

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