High order compact alternating direction implicit method for the generalized sine-Gordon equation (Q708306)
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scientific article; zbMATH DE number 5798203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High order compact alternating direction implicit method for the generalized sine-Gordon equation |
scientific article; zbMATH DE number 5798203 |
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High order compact alternating direction implicit method for the generalized sine-Gordon equation (English)
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11 October 2010
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A high order linearized alternating direction implicit method (ADI) for the generalized sine-Gordon equation is proposed. Two techniques, ADI and linearization are used to solve the resulting nonlinear problem. The convergence rate of the second order in time and of the fourth order in space is proved. The numerical results confirm the theoretical ones.
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sine-Gordon equation
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high-order finite difference scheme
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error estimate
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alternating direction implicite method
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ADI method
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linearization
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convergence
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numerical results
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0.90979636
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0.89344347
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0.88867885
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0.88528097
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0.88430667
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