Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations

被引：10
作者：
Ozpinar, Figen [1 ]
机构：
[1] Afyon Kocatepe Univ, Bolvadin Vocat Sch, TR-03300 Afyon, Turkey
来源：
ENTROPY | 2018年 / 20卷 / 05期
关键词：
discrete homotopy analysis method; Caputo fractional derivative; fractional discrete diffusion equation; fractional discrete Schrodinger equation; fractional discrete Burgers' equation; SOLITON PROPAGATION; PERTURBATION METHOD; DIFFUSION; ENTROPY; ORDER;
D O I：
10.3390/e20050332
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we developed a space discrete version of the homotopy analysis method (DHAM) to find the solutions of linear and nonlinear fractional partial differential equations with time derivative alpha (0 < alpha <= 1). The DHAM contains the auxiliary parameter}, 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 results obtained are compared with the exact solutions when alpha = 1. It is shown they are in good agreement with each other.
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页数：15
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