Stability analysis of general linear methods for nonlinear neutral delay differential equations (Q883962)
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scientific article; zbMATH DE number 5163818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis of general linear methods for nonlinear neutral delay differential equations |
scientific article; zbMATH DE number 5163818 |
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Stability analysis of general linear methods for nonlinear neutral delay differential equations (English)
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12 June 2007
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This paper deals with numerical solutions of the initial value problem of neutral delay differential equations (NDDEs). Sufficient conditions for the stability and asymptotic stability of general linear methods for a class \(R_{\alpha, \beta}\) of systems of nonlinear NDDEs are derived. A numerical test is given that confirms the theoretical results.
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neutral delay differential equation
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general linear method
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stability
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asymptotic stability
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numerical examples
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initial value problem
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0.9865601
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0.97456896
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0.9643283
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