Research and development of economic crisis data simulation teaching analysis system based on fractional calculus equation

Yuting Zhao

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

Abstract: This paper uses fractional-order calculus equations to analyze corporate investment behavior in the micro-domain to examine the impact of economic crisis and monetary policy on corporate investment. At the same time, the paper takes the data of 5 years from 2014 to 2018 of China’s A-share market manufacturing company as a sample, and uses the method of shifting Bernstein polynomial to approximate the unknown function to generalize to the numerical solution of two-dimensional linear fractional delay partial differential equation. The numerical method for solving equations proves that monetary policy and economic crisis are important factors influencing corporate investment behavior. Corporate investment opportunities and new investment expenditures have a significant negative correlation with the economic crisis. Monetary policy has a positive regulatory effect on corporate investment opportunities and investment expenditures. Loose monetary policies can effectively reduce corporate financing constraints and increase new investment of enterprises.

Keywords: Fractional calculus; Post-mortem; Economic crisis data simulation; Shift Bernstein polynomial; Corporate investment behavior (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919304060

DOI: 10.1016/j.chaos.2019.109460

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