Abstract

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.

Highlights

  • The rapid development of information technology continues to impact the traditional-closed, one-way transmission course teaching mode

  • How to create a new curriculum teaching model according to the teaching objectives of the curriculum and the characteristics of information technology is an important research topic for teachers in the information age [1]

  • The use of information technology to create a research teaching model is an excellent example of the combination of information technology and curriculum teaching reform

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Summary

Introduction

The rapid development of information technology continues to impact the traditional-closed, one-way transmission course teaching mode. With the development of social sciences and natural sciences, the solution of nonlinear differential equations, especially the analysis of the exact solutions, is one of the most important ways to solve practical problems [2]. It is widely used in various fields such as physics, engineering technology and applied mathematics. There are many functional methods for solving nonlinear differential equations, including the homogeneous balance method, backscattering method, Darboux transformation method, variable minimum separation method, Painleve expansion method and Tanhfunction method These exact solutions have extensively promoted the development of nonlinear equation theory and practical applications. We use this method to solve the common three kinds of nonlinear differential equations commonly used

The overall goal of the teaching plan
The specific implementation of the teaching plan
Analysis of the students’ existing foundation
Arrangement of teaching content under the new teaching model
Tanh-function method introduction
Solve the RLW-Burgers equation accurately
Conclusion
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