Runge–Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

In this paper 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.