Application of Adomian Decomposition Method for Solving Impulsive Differential Equations

Volume 2, Issue 4, pp 672--681
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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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ISRP Style

H. Hossainzadeh, G. A. Afrouzi, A. Yazdani, Application of Adomian Decomposition Method for Solving Impulsive Differential Equations, Journal of Mathematics and Computer Science, 2 (2011), no. 4, 672--681

AMA Style

Hossainzadeh H., Afrouzi G. A., Yazdani A., Application of Adomian Decomposition Method for Solving Impulsive Differential Equations. J Math Comput SCI-JM. (2011); 2(4):672--681

Chicago/Turabian Style

Hossainzadeh, H., Afrouzi, G. A., Yazdani, A.. "Application of Adomian Decomposition Method for Solving Impulsive Differential Equations." Journal of Mathematics and Computer Science, 2, no. 4 (2011): 672--681

Keywords

• Impulsive differential equations
• $\theta$-method
• Runge-Kutta method.

•  34A37
•  74H15

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