Applying discrete homotopy analysis method for solving fractional partial differential equations
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
EntropyVolume
20Issue
5URI
https://www.mdpi.com/1099-4300/20/5/332https://orcid.org/0000-0002-7428-4988
https://doi.org/10.3390/e20050332
https://hdl.handle.net/11630/7781