ABCs for Wave Equation, Klein-Gordon Equation, and Linear KdV Equations

Houde Han () and Xiaonan Wu ()
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Houde Han: Tsinghua University, Department of Mathematical Sciences
Xiaonan Wu: Hong Kong Baptist University, Department of Mathematics

Chapter Chapter 4 in Artificial Boundary Method, 2013, pp 189-232 from Springer

Abstract: 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.

Keywords: Wave equation; Klein-Gordon equation; KDV equation; finite difference approximation; stability (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-35464-9_5

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DOI: 10.1007/978-3-642-35464-9_5

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