Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations
- Resource Type
- article
- Authors
- Ding Xiang
- Source
- Applied Mathematics and Nonlinear Sciences, Vol 8, Iss 1, Pp 1793-1800 (2023)
- Subject
- homogeneous linear differential equation
music creation
mathematical modeling
mathematics and music
music signal
00a65
Mathematics
QA1-939
- Language
- English
- ISSN
- 2444-8656
The research of differential equation models in music creation and audio is a current research hotspot. This paper uses homogeneous first-order linear partial differential equations to analyze the relevant music signals in music creation. This paper focuses on analyzing the expression of music signals based on time series. This paper discusses its characteristic function and conducts partial differential equation modeling of music characteristic signals. The method successfully established the string vibration model and the time-series autoregressive model of the music signal. This paper becomes a new differential equation to solve the music signal processing method in music creation.