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Applying discrete homotopy analysis method for solving fractional partial differential equations

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Date

01.05.2018

Author

Özpınar, Figen

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Citation

Özpınar, F. Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations. Entropy 2018, 20, 332.

Abstract

In this paper we developed a space discrete version HAM(DHAM) to find the solutions of linear and nonlinear fractional partial differential equations with time derivative α(0<α≤1). The DHAM contains the auxiliary parameter ℏ, which provides a simple way to guarantee the convergence region of solution series. The efficiency and accuracy of the proposed method is demonstrated by test problems with initial conditions. The obtained results are compared with the exact solutions when α=1. It is shown they are in good agreement with each other.

Source

Entropy

Volume

20

Issue

5

URI

https://www.mdpi.com/1099-4300/20/5/332
https://orcid.org/0000-0002-7428-4988
https://doi.org/10.3390/e20050332
https://hdl.handle.net/11630/7781

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  • Makaleler [8]
  • Scopus İndeksli Yayınlar Koleksiyonu [133]
  • WoS İndeksli Yayınlar Koleksiyonu [88]



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