A reliable numerical algorithm for a fractional model of Fitzhugh-Nagumo equation arising in the transmission of nerve impulses

被引：8
|
作者：
Prakash, Amit [1 ]
Kaur, Hardish [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Kurukshetra 136119, Haryana, India
来源：
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2019年 / 8卷 / 01期
关键词：
Fractional Fitzhugh-Nagumo equation; Homotopy polynomials; Homotopy perturbation transform technique (HPTT);
D O I：
10.1515/nleng-2018-0057
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The key objective of this paper is to study the fractional model of Fitzhugh-Nagumo equation (FNE) with a reliable computationally effective numerical scheme, which is compilation of homotopy perturbation method with Laplace transform approach. Homotopy polynomials are employed to simplify the nonlinear terms. The convergence and error analysis of the proposed technique are presented. Numerical outcomes are shown graphically to prove the efficiency of proposed scheme.
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页码：719 / 727
页数：9
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