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

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

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 manusc...

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Veröffentlicht in:Numerical analysis and applications 2018-04, Vol.11 (2), p.134-145
Hauptverfasser: Darzi, R., Agheli, B.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Numerical Analysis
Partial differential equations
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Beschreibung
Zusammenfassung: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.
ISSN:1995-4239
1995-4247
DOI:10.1134/S1995423918020040