The High-Precision Runge-Kutta Method for Solving Two-Dimensional Acoustic Wave Equation

Abstract

Abstract:

Based on the two-dimensional acoustic wave equation， the eighth-order NAD-RK algorithm is developed by combining the higher order partial derivative of the discrete space of the eighth-order NAD operator and the discrete time derivative of the third-order Runge-Kutta method. The theoretical and numerical errors of the eighth-order NAD-RK algorithm are analyzed， and its stability conditions are derived in detail. The results show that compared with the eighth-order Lax-Wendroff scheme and the eighth-order staggered grid scheme， the eighth-order NAD-RK algorithm has the smallest numerical error.

Key words:

"> acoustic wave equation">, NAD operator">, Runge-Kutta method">, error analysis">, stability condition

CLC Number:

Chen Li, Zhu Xingwen, Zhang Chaoyuan.

The High-Precision Runge-Kutta Method for Solving Two-Dimensional Acoustic Wave Equation [J]. Journal of Dali University, 2023, 8(6): 20-23.

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