<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The research of differential equation models in music creation and audio is a current research hotspot. This paper uses homogeneous first-order linear partial...

Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations

Published Online: Jul 15, 2022

Page range: 1793 - 1800

Received: Apr 16, 2022

Accepted: Jun 24, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0168

Keywords
Homogeneous linear differential equation, Music creation, Mathematical modeling, Mathematics and music, Music signal

© 2023 Xiang Ding, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations

Published Online: Jul 15, 2022

Page range: 1793 - 1800

Received: Apr 16, 2022

Accepted: Jun 24, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0168

KeywordsHomogeneous linear differential equation, Music creation, Mathematical modeling, Mathematics and music, Music signal

© 2023 Xiang Ding, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Keywords
Homogeneous linear differential equation, Music creation, Mathematical modeling, Mathematics and music, Music signal