Abstract

Abstract Objective To study the information reform of preschool education of fine arts under fractional differential equation. Methods: In this paper, the fractional Navier-Stokes equations are compared with the traditional models through some numerical experiments, which provides a certain basis for future physical application. In order to improve students’ comprehensive ability and quality, we should strengthen education and teaching in all aspects, and art education is a more important aspect. The results show that the numerical solution of the integral equation with different values is close to a point at x = 1, that is, u (1) = 0.5. Conclusion In the current preschool education professional art education teaching process, the use of information technology means has become a necessary teaching requirement and need to improve the teaching effect, and the quality is of great significance and value, thus ensuring better able to carry out education of fine arts teaching, which enables students for better development, guarantees for a better future that is better for preschool education.

Highlights

  • In the process of fine arts education of preschool education speciality, the backward teaching method is a common problem and a key influencing factor

  • From the definition of the fractional derivative of time, the fractional derivative of a function at a certain time depends on the value of the function at all times before that time, and so the fractional partial differential equation (PDE) has more advantages than the integer order equation when studying some materials with memory process, genetic properties and heterogeneous materials [2]

  • We consider a class of fractional Navier-Stokes equations, and through some numerical experiments and comparison with the traditional model, we provide a certain basis for the future physical application

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Summary

Introduction

In the process of fine arts education of preschool education speciality, the backward teaching method is a common problem and a key influencing factor. Use of related software effectively masters, for example, the network search, word processing, and image editing and other related basic skills, in terms of a certain extent, students and teachers for proficiency in computer operation of the teaching of fine arts education informationisation means using effect can play a decisive role, for this principle on the one hand, should strengthen the attention. We discuss the existence of strong solutions and the derivation of weak forms for R-L or Caputo type fractional differential problems with order 0 ≪ 1 and 1 ≪ 2 under two different boundary conditions. We consider a class of fractional Navier-Stokes equations, and through some numerical experiments and comparison with the traditional model, we provide a certain basis for the future physical application

Research methods
Theoretical basis
Basic principle of Haar wavelet analysis
Algorithm design
Proof of the existence of solutions
Study of numerical analysis
Conclusion
Full Text
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