This article is cited in 10 papers

Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods

S. Irandoust-pakchin, M. Javidi, H. Kheiri

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Abstract: In this paper, we first introduce a new homotopy perturbation method for solving a fractional order nonlinear cable equation. By applying proposed method the nonlinear equation it is changed to linear equation for per iteration of homotopy perturbation method. Then, we solve obtained problems with separation method. In examples, we illustrate that the exact solution is obtained in one iteration by convenience separating of source term in given equation.

Key words: cable equation, Caputo fractional derivative, homotopy perturbation method, nonhnear, Riemann–Liouville, separation method.

UDC: 519.633

Received: 28.01.2014
Revised: 05.06.2014

Language: English

DOI: 10.7868/S0044466916010105

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:1, 116–131

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