Convergence of difference analogues to the Darboux problem with functional dependence (Q1281159)
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scientific article; zbMATH DE number 1266833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of difference analogues to the Darboux problem with functional dependence |
scientific article; zbMATH DE number 1266833 |
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Convergence of difference analogues to the Darboux problem with functional dependence (English)
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6 April 1999
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The Darboux problem is considered with functional dependence for \(z\), \(D_xz\) and \(D_yz\) on the right-hand side of the differential equation. Wide classes of difference schemes are investigated for the differential-functional problem. Convergence theorems are proved by means of consistency and stability statements. Numerical experiments are detailed.
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differential-functional equation
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finite difference schemes
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stability
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convergence
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Darboux problem
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0.91780734
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0.9082712
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0.90299994
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0.9022097
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0.90045345
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