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

  • Houde Han
  • Xiaonan Wu
Chapter

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.

Key words

Wave equation Klein-Gordon equation KDV equation finite difference approximation stability 
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Copyright information

© Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Houde Han
    • 1
  • Xiaonan Wu
    • 2
  1. 1.Department of Mathematical SciencesTsinghua UniversityBeijingChina
  2. 2.Department of MathematicsHong Kong Baptist UniversityKowloonHong Kong, China

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