Transfer of boundary conditions for difference equations (Q700941)
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scientific article; zbMATH DE number 1814843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transfer of boundary conditions for difference equations |
scientific article; zbMATH DE number 1814843 |
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Transfer of boundary conditions for difference equations (English)
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15 October 2002
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This paper deals with the transferring boundary conditions for solving a linear difference equation of the second order. The author shows that the boundary conditions can be transferred to any point similarly as in the continuous case. Moreover, it is found out that some results of this kind may be obtained also for some particular two-dimensional problems. As an example of the application of the idea of transferring boundary conditions in the two-dimensional case, the author deals with a discrete analogue of the Dirichlet problem for the Laplace equation on a rectangle.
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difference equation
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sparse matrices
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boundary value problem
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transfer of boundary conditions
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Dirichlet problem
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Laplace equation
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