scholarly journals Nonlinear Differential Equations in the Teaching Model of Educational Informatisation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
L.V. Shengnan ◽  
Madini O. Alassafi ◽  
Khairi Omar
Keyword(s):  
Information Technology ◽  
Differential Equations ◽  
Teaching Method ◽  
Nonlinear Differential Equations ◽  
Equation Model ◽  
Teaching Model ◽  
Differential Equation Model ◽  
Teaching Plan ◽  
Teachers And Students ◽  
Specific Implementation

Abstract This article takes the nonlinear differential equation model as an example and uses information technology to create a new course teaching model. The computing software Maple is effectively applied to the precise solution of nonlinear differential equations through the analysis of examples. The overall goal and specific implementation of the teaching plan to integrate ordinary differential equations and information technology have been completed. The study found that the teaching plan proposed in the article is assisted by information technology, with teachers and students participating in an interactive and exploratory teaching method. This method is worthy of further promotion.

scholarly journals Research on the Value Optimization of Online Education Platform in Universities

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Naixin Zhang
Keyword(s):  
Information Technology ◽  
Online Education ◽  
Information Society ◽  
Teaching Method ◽  
Colleges And Universities ◽  
Network Information ◽  
Education Industry ◽  
Teachers And Students ◽  
Education Platform ◽  
Industry Network

As China has gradually entered the network information society, all walks of life have been rapidly developed. In the education industry, network information technology has promoted the emergence of online education platforms. This is a new teaching method that has attracted the attention and recognition of the majority of teachers and students who have profited from its advantages of abundant resources, quick start, and convenience. By analyzing the connotation and management mode of online education platform, the application strategies of online education platform in colleges and universities are discussed.

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 A Suggestion for Teaching the Construction of "X of What (Y) + All +Z" in the Process of TCSL

2020 ◽  
Vol 4 (6) ◽  
Author(s):  
Siyun Li
Keyword(s):  
Foreign Students ◽  
Teaching Method ◽  
Teaching Materials ◽  
Teaching Plan ◽  
Reading Materials ◽  
Teachers And Students

The construction of "X of What (Y) + All +Z" generally appears in speaking and listening TCSL textbooks and some reading materials. In most cases, it is not listed in those textbooks as a key expression and more likely to be shown together with other similar constructions. However, foreign students tend to make mistakes when using it. This paper designs a teaching plan of the construction by using the "construction-chunk" teaching method, and puts forward some suggestions for teaching from the aspects of teaching materials, teachers and students.

Application of the exp(-φ)-expansion method to the Pochhammer-Chree equation

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3347-3354 ◽  
Author(s):  
Nematollah Kadkhoda ◽  
Michal Feckan ◽  
Yasser Khalili
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exact Solutions ◽  
Present Article ◽  
Analytical Solutions ◽  
Nonlinear Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Rational Functions ◽  
Expansion Method ◽  
Exponential Functions

In the present article, a direct approach, namely exp(-?)-expansion method, is used for obtaining analytical solutions of the Pochhammer-Chree equations which have a many of models. These solutions are expressed in exponential functions expressed by hyperbolic, trigonometric and rational functions with some parameters. Recently, many methods were attempted to find exact solutions of nonlinear partial differential equations, but it seems that the exp(-?)-expansion method appears to be efficient for finding exact solutions of many nonlinear differential equations.

scholarly journals Modeling and Analysis on Teacher-Student Relationship

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Li Xu ◽  
Qi Yang
Keyword(s):  
Discrete Model ◽  
Equation Model ◽  
Reciprocal Relations ◽  
Modeling And Analysis ◽  
Teacher Student ◽  
Teacher Student Relationship ◽  
Sample Data ◽  
Teachers And Students ◽  
Student Relationship ◽  
The Relationship

Although the teacher-student relationship has been addressed in some studies, the cooperation or reciprocal relations between teachers and students have not been explored sufficiently. In this paper, a difference equation model is applied to express the relationship, stability analysis at the positive steady state of the discrete model is done to verify that the performance output is not empty, and hypothesis testing is conducted to show the validity of the model by means of sample data from a college. Then some reasonable suggestions are proposed to improve the performance output of teachers and students.

scholarly journals Solving nonlinear differential equations with differentiable quantum circuits

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Oleksandr Kyriienko ◽  
Annie E. Paine ◽  
Vincent E. Elfving
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Quantum Circuits

scholarly journals Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current

2021 ◽  
Vol 23 (4) ◽  
Author(s):  
Jifeng Chu ◽  
Kateryna Marynets
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Topological Degree ◽  
Antarctic Circumpolar Current ◽  
Fixed Point Theorems ◽  
Nonlinear Differential Equations ◽  
Existence Results ◽  
Circumpolar Current ◽  
The Antarctic

AbstractThe aim of this paper is to study one class of nonlinear differential equations, which model the Antarctic circumpolar current. We prove the existence results for such equations related to the geophysical relevant boundary conditions. First, based on the weighted eigenvalues and the theory of topological degree, we study the semilinear case. Secondly, the existence results for the sublinear and superlinear cases are proved by fixed point theorems.

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