Author(s)

V. van Joolen, B. Neta & D. Givoli

Abstract

High-order non-reflecting boundary conditions for dispersive wave problems in stratified media V. van ~oolen', B. eta' & D. ~ i v o l i ~ ' ~ e ~ a r t m e n t of Mathematics, Naval Postgraduate School, USA Department of Aerospace Engineering, Technion - Israel Institute of Technology, Israel Abstract Problems of linear time-dependent dispersive waves in an un-bounded domain are considered. The infinite domain is truncated via an artificial boundary B. A high-order Non-Reflecting Boundary Condition (NRBC) is imposed on B, and the problem is solved by a Finite Difference (FD) scheme in the finite domain. The sequence of NRBCs proposed by Higdon is used. However, in contrast to the original low-order implementation, a new scheme is devised which allows the easy use of a Higdon-type NRBC of any desired order. In addition, the problem is considered for a stratiJied media. The performance of the scheme is demonstrated via numerical example. 1 Introduction In various applications one is often inte

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