Nonlinear Artificial Boundary Conditions

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 8 in Artificial Boundary Method, 2013, pp 341-363 from Springer

Abstract: Abstract In this chapter, we discuss the nonlinear ABCs for Burgers equation, Kardar-Parisi-Zhang equation, and Schrödinger equation on unbounded domains. By using artificial boundaries, the original problems are reduced to initial boundary value problems on bounded computational domains. Nonlinear 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: Burgers equation; Kardar-Parisi-Zhang equation; Schrödinger equation; nonlinear ABC (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_9

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DOI: 10.1007/978-3-642-35464-9_9

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