Linear multistep methods for impulsive differential equations (Q444278)
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scientific article; zbMATH DE number 6065436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear multistep methods for impulsive differential equations |
scientific article; zbMATH DE number 6065436 |
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Linear multistep methods for impulsive differential equations (English)
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14 August 2012
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Summary: This paper deals with the convergence and stability of linear multistep methods for impulsive differential equations. Numerical experiments demonstrate that both the mid-point rule and two-step backward differentiation formula (BDF) method are of order \(p = 0\) when applied to impulsive differential equations. An improved linear multistep method is proposed. Convergence and stability conditions of the improved methods are given in the paper. Numerical experiments are given in the end to illustrate the conclusion.
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convergence
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stability
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linear multistep methods
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impulsive differential equations
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numerical experiments
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mid-point rule
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two-step backward differentiation formula method
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0.9790479
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0.9128306
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0.9104259
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0.9048557
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0.9011019
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0.9006778
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0.8988947
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