Numerical solution of fractional order smoking model via laplace Adomian decomposition method

被引：119

作者：

Haq, Fazal ^{[1
]}

Shah, Kamal ^{[2
]}

Rahman, Ghaus Ur ^{[3
]}

Shahzad, Muhammad ^{[1
]}

机构：

[1] Hazara Univ, Dept Math, Mansehra, Khyber Pakhtunk, Pakistan

[2] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan

[3] Univ Swat, Dept Math & Stat, Swat, Khyber Pakhtunk, Pakistan

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2018年 / 57卷 / 02期

关键词：

Smoking dynamics; Mathematical models; Fractional derivatives; Laplace-Adomian decomposition method; Analytical solution; SIR EPIDEMIC MODEL; APPROXIMATE SOLUTION; DISEASE;

D O I：

10.1016/j.aej.2017.02.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Smoking is one of the major cause of health problems around the globe. The present article deals with the dynamics of giving up smoking model of fractional order. We study analytical solution (approximate solution) of the concerned model with the help of Laplace transformation. The solution of the model will be obtained in form of infinite series which converges rapidly to its exact value. Moreover, we compare our results with the results obtained by Runge-Kutta method. Some plots are presented to show the reliability and simplicity of the method. (C) 2017 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.

引用

页码：1061 / 1069

页数：9

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