4.5 Article

An efficient method for solving fractional Hodgkin-Huxley model

期刊

PHYSICS LETTERS A
卷 378, 期 30-31, 页码 1980-1984

出版社

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2014.06.012

关键词

Fractional differential equations; Hodgkin-Huxley model; Non-standard finite difference method; Grunwald-Letinkov definition

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In this paper, we present an accurate numerical method for solving fractional Hodgkin-Huxley model. A non-standard finite difference method (NSFDM) is implemented to study the dynamic behaviors of the proposed model. The Grunwald-Letinkov definition is used to approximate the fractional derivatives. Numerical results are presented graphically reveal that NSFDM is easy to implement, effective and convenient for solving the proposed model. (C) 2014 Elsevier B.V. All rights reserved.

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