Can a Finite Degenerate ‘String’ Hear Itself? Numerical Solutions to a Simplified IBVP

Abstract

Some discrete models for a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle and solved earlier exactly (JODEA, 30 (1) (2022), 89 – 121), have been considered. It has been demonstrated that the correct evaluation of the degenerate grid flux can be possible.

Keywords

• degenerate wave equation
• vibrating string, separation of variables
• transmission condition
• travelling wave
• degenerate flux