<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In order to meet the social demand for preschool education professionals, based on the finite element higher-order fractional differential equation, this paper studies the information teaching model of preschool education of fine arts in colleges and universities. Through the scientific and effective fine arts education in the preschool education major in colleges and universities, the students’ fine arts ability can be effectively improved, and the application of information means can make this goal can be better realised so that the teaching needs can be better satisfied and they promote the better development of fine arts education in the preschool education major.</p>
</abstract>

In order to meet the social demand for preschool education professionals, based on the finite element higher-order fractional differential equation, this paper studies the information teaching model of preschool education of fine arts in colleges and universities. Through the scientific and effective fine arts education in the preschool education major in colleges and universities, the students’ fine arts ability can be effectively improved, and the application of information means can make this goal can be better realised so that the teaching needs can be better satisfied and they promote the better development of fine arts education in the preschool education major.

Information Teaching Model of Preschool Art Education in Colleges and Universities Based on Finite Element Higher-Order Fractional Differential Equation

Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz University

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In order to meet the social demand for preschool education professionals, based on the finite element higher-order fractional differential equation, this paper...

FFD				DFD
N	E(h,Δt)	Cov	CPU (s)	E(h,Δt)	Cov	CPU (s)
2⁵	3.4024e−04	2.00	6.69	3.4024e−04	2.00	2652.36
2⁶	8.4964e−05	2.01	10.16	8.4964e−05	2.01	2822.55
2⁷	2.1146e−05	2.02	36.31	2.1146e−05	2.02	3140.38
2⁸	5.2182e−06	-	103.89	5.2182e−06	-	3651.16

N	α = 0.2E(h,Δt) Cov	α = 0.5E(h,Δt) Cov	α = 0.8E(h,Δt) Cov
2⁵	4.3385e−04 1.98	3.8225e−04 2.00	3.1800e−04 1.99
2⁶	1.1000e−04 1.92	9.5800e−05 1.99	7.9804e−05 1.98
2⁷	2.9043e−05 1.72	2.4189e−05 1.94	2.0254e−05 1.91
2⁸	8.8305e−06	6.3168e−06	5.3865e−06

M	α = 0.2E(h,Δt) Cov	α = 0.5E(h,Δt) Cov	α = 0.8E(h,Δt) Cov
2⁵	3.4200e−03 0.77	2.0717e−03 1.03	7.8969e−03 1.21
2⁶	2.0022e−03 0.90	1.0116e−03 1.06	3.4059e−03 1.22
2⁷	1.0715e−03 0.90	4.8658e−04 1.06	1.4612e−03 1.23
2⁸	5.5260e−04	2.3374e−04	6.2398e−04

Information Teaching Model of Preschool Art Education in Colleges and Universities Based on Finite Element Higher-Order Fractional Differential Equation

Published Online: Nov 22, 2021

Page range: 465 - 474

Received: Jun 17, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00082

Keywords
Preschool education, Finite element higher-order fractional derivative, Informatisation, The teaching model

© 2021 Zhang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

L2 error of numerical solutions obtained by DFD and FFD when Δt = 2−16 and α = 0.7 are fixed

L2 error and corresponding spatial convergence order of finite difference decomposition at Δt = 2−16

L2 error and corresponding time convergence order of finite difference decomposition at h = 2−12

Information Teaching Model of Preschool Art Education in Colleges and Universities Based on Finite Element Higher-Order Fractional Differential Equation

Published Online: Nov 22, 2021

Page range: 465 - 474

Received: Jun 17, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00082

KeywordsPreschool education, Finite element higher-order fractional derivative, Informatisation, The teaching model

© 2021 Zhang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

L2 error of numerical solutions obtained by DFD and FFD when Δt = 2−16 and α = 0.7 are fixed

L2 error and corresponding spatial convergence order of finite difference decomposition at Δt = 2−16

L2 error and corresponding time convergence order of finite difference decomposition at h = 2−12

Keywords
Preschool education, Finite element higher-order fractional derivative, Informatisation, The teaching model