Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations (Q1723293)
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scientific article; zbMATH DE number 7025316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations |
scientific article; zbMATH DE number 7025316 |
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Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations (English)
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19 February 2019
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Summary: This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs). The adaptation of one-leg methods is considered. It is proved that an \(A\)-stable one-leg method can preserve the global stability and a strongly \(A\)-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs. Numerical tests are given to confirm the theoretical results.
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