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Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics. (English) Zbl 1063.65113
Summary: A new Runge-Kutta method with minimal dispersion and dissipation error is developed. The Chebyshev pseudospectral method is utilized using spatial discretization and a new fourth-order six-stage Runge-Kutta scheme is used for time advancing. The proposed scheme is more efficient than the existing ones for acoustic computations.

65M70Spectral, collocation and related methods (IVP of PDE)
35L05Wave equation (hyperbolic PDE)
76Q05Hydro- and aero-acoustics
76M22Spectral methods (fluid mechanics)
65L06Multistep, Runge-Kutta, and extrapolation methods
65M15Error bounds (IVP of PDE)
Full Text: DOI
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