Title: Momentum-time flux conservation method for one-dimensional wave equations
Authors: Huang, Zhen-Ting
Hsu, Huan-Chun
Chang, Chau-Lyan
Wu, Chin-Tien
Jiang, T. F.
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
Institute of Physics
Issue Date: 1-Mar-2010
Abstract: We present a conservation element and solution element method in time and momentum space. Several paradigmatic wave problems including simple wave equation, convection-diffusion equation, driven harmonic oscillating charge and nonlinear Korteweg-cle Vries (KdV) equation are solved with this method and calibrated with known solutions to demonstrate its use. With this method, time marching scheme is explicit, and the nonreflecting boundary condition is automatically fulfilled. Compared to other solution methods in coordinate space, this method preserves the complete information of the wave during time evolution which is an useful feature especially for scattering problems. (C) 2009 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.cpc.2009.10.018
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2009.10.018
Volume: 181
Issue: 3
Begin Page: 473
End Page: 480
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