Application of Adomian Decomposition Method for Solving Impulsive Differential Equations

Volume 2, Issue 4, pp 672--681 http://dx.doi.org/10.22436/jmcs.02.04.12

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Authors

H. Hossainzadeh - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran G. A. Afrouzi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran A. Yazdani - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Abstract

In this work, we apply the Adomian Decomposition Method(ADM) for solving first order impulsive differential equations \[x(t)=\alpha x, t\neq k, t>0,\] \[\Delta x=\beta x, t=k,\] \[x(0^+)=x_0,\] where \(\alpha\neq 0,\beta, x_0\in R, 1+\beta\neq 0, k\in N\) are investigated. We compare this method with others numerical methods such as \(\theta\)-method, Runge-kutta method for solving impulsive differential equations.

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Keywords

• Impulsive differential equations
• Adomian Decomposition Method
• \(\theta\)-method
• Runge-Kutta method.

MSC

•  34A37
•  74H15

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