scholarly journals Differential equation model of financial market stability based on Internet big data

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Hongling Chen ◽  
Bahjat Fakieh ◽  
Bishr Muhamed Muwafak
Keyword(s):  
Differential Equation ◽  
Big Data ◽  
Differential Equations ◽  
Financial Market ◽  
Equation Model ◽  
Differential Equation Model ◽  
Nonlinear Characteristics ◽  
Differential Equation Models ◽  
Financial Market Stability ◽  
The Relationship

Abstract In the context of Internet big data, the market characteristics of the financial market can be used to feed back its stability with the help of differential equation models. China's financial market is roughly divided into three main markets: stocks, currency and foreign exchange. The interaction of the three has promoted the development of the financial market. With this as a background, the paper aims at these three financial markets and selects relevant indicators that can reflect the indications of the financial market to construct differential equations to analyse the relationship between the three. The paper uses the nonlinear characteristics of ordinary differential equations and related algorithms to solve the three types of market models. It uses an example to demonstrate that the differential equation model proposed in this paper can feed back the evolutionary characteristics of the three, and this model can help investors produce more correct investment decisions.

scholarly journals Calculation and Analysis of the Amber Interval in Traffic Flow

2019 ◽  
pp. 1-10
Author(s):  
Meng Xinyu ◽  
Zhao Jian ◽  
Zhang Wei ◽  
Meng Zhaoping
Keyword(s):  
Differential Equation ◽  
Equation Model ◽  
Related Factors ◽  
Traffic Condition ◽  
Amber Light ◽  
A Value ◽  
Differential Equation Models ◽  
Light Duration ◽  
Difficult Area ◽  
The Relationship

According to the relationship between the speed of vehicle and the amber light, we establish the differential equation model of the amber light duration. And based on the relevant conditions given in the title, three differential equation models of amber light duration under different conditions are obtained. Considering the traffic condition and driver's habit, we calculate a value that is most suitable to the actual demand. The sensitivity and stability of the model and its related factors are analyzed. We improve the model for the problem of difficult area.

scholarly journals Learning Qualitative Differential Equation models: a survey of algorithms and applications

2010 ◽  
Vol 25 (1) ◽  
pp. 69-107 ◽  
Author(s):  
Wei Pang ◽  
George M. Coghill
Keyword(s):  
Artificial Intelligence ◽  
Differential Equation ◽  
Medical Science ◽  
Qualitative Reasoning ◽  
Equation Model ◽  
Model Learning ◽  
Differential Equation Model ◽  
Future Directions ◽  
Differential Equation Models ◽  
Wide Range

AbstractOver the last two decades, qualitative reasoning (QR) has become an important domain in Artificial Intelligence. QDE (Qualitative Differential Equation) model learning (QML), as a branch of QR, has also received an increasing amount of attention; many systems have been proposed to solve various significant problems in this field. QML has been applied to a wide range of fields, including physics, biology and medical science. In this paper, we first identify the scope of this review by distinguishing QML from other QML systems, and then review all the noteworthy QML systems within this scope. The applications of QML in several application domains are also introduced briefly. Finally, the future directions of QML are explored from different perspectives.

scholarly journals A spatially varying stochastic differential equation model for animal movement

2018 ◽  
Vol 12 (2) ◽  
pp. 1312-1331 ◽  
Author(s):  
James C. Russell ◽  
Ephraim M. Hanks ◽  
Murali Haran ◽  
David Hughes
Keyword(s):  
Differential Equation ◽  
Stochastic Differential Equation ◽  
Animal Movement ◽  
Equation Model ◽  
Differential Equation Model ◽  
Spatially Varying

Time Fractional Differential Equation Model With Random Derivative Order

2009 ◽  
Author(s):  
Hongguang Sun ◽  
Yangquan Chen ◽  
Wen Chen
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Diffusion Processes ◽  
Time Derivative ◽  
Equation Model ◽  
Differential Equation Model ◽  
New Model ◽  
Potential Applications ◽  
Fractional Differential ◽  
Derivative Order

This paper proposes a new type of fractional differential equation model, named time fractional differential equation model, in which noise term is included in the time derivative order. The new model is applied to anomalous relaxation and diffusion processes suffering noisy field. The analysis and numerical simulation results show that our model can well describes the feature of these processes. We also find that the scale parameter and the frequency of the noise play a crucial role in the behaviors of these systems. At the end, we recognize some potential applications of this new model.

Sign in / Sign up

Export Citation Format

Share Document