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Title

DISCRETE NON-LOCAL BOUNDARY CONDITION FOR PARABOLIC APPROXIMATIONS IN UNDERWATER ACOUSTICS

Pages

  59-66

Abstract

 When computing numerically the solution of a partial differential equation in an unbounded domain usually artificial boundaries are introduced to limit the computational domain. Special boundary conditions are derived at these artificial boundaries to approximate the exact whole-space solution. If the solution of the problem on the bounded domain is equal to the whole-space solution (restricted to the computational domain) these boundary conditions are called TRANSPARENT BOUNDARY conditions (TBCs). This paper discusses the TBCs for general Schrodinger-type pseudo-differential arising from parabolic equation models which have been widely used for one-way wave propagation problems in various application areas, e.g. seismology, optics and plasma physics. Moreover in this paper we will propose a new discrete TBC. The accuracy and relatively lower cpu-time of the new approach is confirmed by the numerical comparisons.      

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    APA: Copy

    HOSSEINI, SEYED MOHAMMAD, & FIROOZ, E.. (2005). DISCRETE NON-LOCAL BOUNDARY CONDITION FOR PARABOLIC APPROXIMATIONS IN UNDERWATER ACOUSTICS. AMIRKABIR, 16(62-D), 59-66. SID. https://sid.ir/paper/843/en

    Vancouver: Copy

    HOSSEINI SEYED MOHAMMAD, FIROOZ E.. DISCRETE NON-LOCAL BOUNDARY CONDITION FOR PARABOLIC APPROXIMATIONS IN UNDERWATER ACOUSTICS. AMIRKABIR[Internet]. 2005;16(62-D):59-66. Available from: https://sid.ir/paper/843/en

    IEEE: Copy

    SEYED MOHAMMAD HOSSEINI, and E. FIROOZ, “DISCRETE NON-LOCAL BOUNDARY CONDITION FOR PARABOLIC APPROXIMATIONS IN UNDERWATER ACOUSTICS,” AMIRKABIR, vol. 16, no. 62-D, pp. 59–66, 2005, [Online]. Available: https://sid.ir/paper/843/en

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