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

<p>The development of tourism promotes the rapid development of regional economy. Balancing the relationship between investment and income of tourism is important, which affects the speed of economic development. Based on the background of tourism economy, to a specific mode of regional tourism, the first step is to collect information, for the coupling analysis between the subsystems of the tourism industry and regional economy of synergy, through the tourism development index of income differential mathematical equations of finite element calculation, a mathematical model built for the tourism income. By solving the finite element ordinary differential mathematical equation, the relationship between tourism maximum income, effective income and investment cost is obtained. Finally, the stability of the mathematical model is analysed. This study evaluates and predicts the income index of tourism development in a specific region and provides countermeasures for the development of tourism economy in this region.</p>
</abstract>

The development of tourism promotes the rapid development of regional economy. Balancing the relationship between investment and income of tourism is important, which affects the speed of economic development. Based on the background of tourism economy, to a specific mode of regional tourism, the first step is to collect information, for the coupling analysis between the subsystems of the tourism industry and regional economy of synergy, through the tourism development index of income differential mathematical equations of finite element calculation, a mathematical model built for the tourism income. By solving the finite element ordinary differential mathematical equation, the relationship between tourism maximum income, effective income and investment cost is obtained. Finally, the stability of the mathematical model is analysed. This study evaluates and predicts the income index of tourism development in a specific region and provides countermeasures for the development of tourism economy in this region.

Study on tourism development income index calculation of finite element ordinary differential mathematical equation

Department of Culture and Tourism Management

Applied Mathematics and Nonlinear Sciences

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

The development of tourism promotes the rapid development of regional economy. Balancing the relationship between investment and income of tourism is...

Study on tourism development income index calculation of finite element ordinary differential mathematical equation

Published Online: Dec 23, 2022

Page range: 639 - 652

Received: Jun 15, 2022

Accepted: Sep 30, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00267

Keywords
finite element analysis, tourism development, economic development

© 2023 Mengjie Gong, published by Sciendo

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

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Study on tourism development income index calculation of finite element ordinary differential mathematical equation

Published Online: Dec 23, 2022

Page range: 639 - 652

Received: Jun 15, 2022

Accepted: Sep 30, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00267

Keywordsfinite element analysis, tourism development, economic development

© 2023 Mengjie Gong, published by Sciendo

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

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Keywords
finite element analysis, tourism development, economic development