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NSFD scheme for acoustic propagation with the linearized Euler equations

Author

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  • Mickens, Ronald E.

Abstract

Our goal is to construct a nonstandard finite difference (NSFD) scheme for the linearized Euler partial differential equations (PDE's) modeling acoustic propagation in one space dimension. Unlike other works on this discretization problem, we formulate it in terms of a single, second-order PDE rather than as two separate first-order equations. The important mathematical features of this scheme are discussed.

Suggested Citation

  • Mickens, Ronald E., 2016. "NSFD scheme for acoustic propagation with the linearized Euler equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 127(C), pages 189-193.
  • Handle: RePEc:eee:matcom:v:127:y:2016:i:c:p:189-193
    DOI: 10.1016/j.matcom.2013.11.008
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    Cited by:

    1. Pasha, Syed Ahmed & Nawaz, Yasir & Arif, Muhammad Shoaib, 2023. "On the nonstandard finite difference method for reaction–diffusion models," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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