Convergence of one-leg methods for nonlinear neutral delay integro-differential equations (Q1043020)
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scientific article; zbMATH DE number 5643478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of one-leg methods for nonlinear neutral delay integro-differential equations |
scientific article; zbMATH DE number 5643478 |
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Convergence of one-leg methods for nonlinear neutral delay integro-differential equations (English)
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7 December 2009
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Some convergence, results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are developed. It is proved that a one-leg method is \(E\)- (or \(EB\))-convergent of order \(p\) for nonlinear NDIDEs if and only if it is \(A\)-stable and consistent of order \(p\) in classical sense for ordinary differential equations, where \(p= 1,2\). A numerical example confirms the theoretical results.
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one-leg methods
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neutral delay equations
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integro-differential equations
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convergence
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