Numerical solution to a linearized KdV equation on unbounded domain |
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| Authors: | Chunxiong Zheng Xin Wen Houde Han |
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| Affiliation: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China;2. Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China;3. Department of Mathematics, University of Science and Technology of China, Hefei 230026, People's Republic of China |
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| Abstract: | Exact absorbing boundary conditions for a linearized KdV equation are derived in this paper. Applying these boundary conditions at artificial boundary points yields an initial‐boundary value problem defined only on a finite interval. A dual‐Petrov‐Galerkin scheme is proposed for numerical approximation. Fast evaluation method is developed to deal with convolutions involved in the exact absorbing boundary conditions. In the end, some numerical tests are presented to demonstrate the effectiveness and efficiency of the proposed method.© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008 |
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| Keywords: | absorbing boundary conditions dual‐Petrov‐Galerkin method linearized KdV equation unbounded domains |
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