A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect (Q2489034)
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| Language | Label | Description | Also known as |
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| English | A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect |
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A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect (English)
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16 May 2006
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A Korteweg-de Vries (KdV) equation with admissible boundary conditions is considered. Then an energy estimate for the KdV problem on the negative quarter-plane is obtained. A local discontinuous Galerkin method for solving KdV type equations with non-homogeneous boundary effect is proposed and its nonlinear \(L^2\) stability is proved. Some wave patterns near the boundary are discussed and numerical results, consistent with these wave patterns, are presented.
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Korteweg-de Vries equation
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local discontinuous Galerkin method
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non-homogeneous boundary effect
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stability
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numerical results
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