Monotone methods for higher-order partial difference equations (Q1334604)
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scientific article; zbMATH DE number 641671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone methods for higher-order partial difference equations |
scientific article; zbMATH DE number 641671 |
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Monotone methods for higher-order partial difference equations (English)
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21 September 1994
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Several comparison results for a nonlinear partial difference equation of the order \(n+m\) in two independent variables, \(\Delta^ n_ x \Delta^ m_ y u(x,y)= g(x,y,u)\), together with appropriate initial and periodic boundary conditions, are established. These results are then used to provide sufficient conditions for the convergence of monotone iterative methods.
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comparison results
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nonlinear partial difference equation
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convergence
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monotone iterative methods
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