Abstract
In this chapter, we discuss the ABCs for wave equations, Klein- Gordon equations, and linear KDV equation on unbounded domains. By using artificial boundaries, the original problems are reduced to initial boundary value problems on bounded computational domains. Absorbing boundary conditions on the artificial boundaries are obtained, and then the finite difference method is applied to solve the reduced problems. Some stability results are also given.
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© 2013 Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg
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Han, H., Wu, X. (2013). ABCs for Wave Equation, Klein-Gordon Equation, and Linear KdV Equations. In: Artificial Boundary Method. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35464-9_5
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DOI: https://doi.org/10.1007/978-3-642-35464-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35463-2
Online ISBN: 978-3-642-35464-9
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