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The Optimization of Mathematics Teaching Models in Colleges and Universities Based on Nonlinear Differential Equations

Artigo2022

Jie Wu ORCID; Hafnida Hasan ORCID

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Resumo

Abstract Nonlinear fractional differential equations are an important part of advanced mathematics teaching. The existence and uniqueness of its positive solution have always been a hot topic of academic discussion. This article uses differential inclusion theory and the Lyapunov stability method to analyze the finite-time stabilization control problem of the discontinuous mathematical adjustment model. The article uses a modified decomposition method and convergence acceleration technology in the application of fractional differential equations. The method gives an analytical approximate solution sequence that is easy to calculate, verify, and quickly converge. Finally, examples of Lyapunov stability and the construction of the V function can inspire students to understand ordinary differential equations and increase their interest in learning.

Dados da obra

Tipo
Artigo
Periódico
Applied Mathematics and Nonlinear Sciences, v. 8, n. 1, p. 861-868
Editora
De Gruyter
Ano
2022 (2022-07-15)
Idioma
en
Palavras-chave
nonlinear fractional differential equations; differential inclusions; Lyapunov stability; discontinuous control; modified decomposition method; convergence acceleration; advanced mathematics teaching
Temas
Álgebra, Inclusão
DOI
10.2478/amns.2022.2.0073
ISSN
2444-8656
Licença
cc-by
Acesso
Acesso aberto
Fontes
OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
WU, Jie; HASAN, Hafnida. The Optimization of Mathematics Teaching Models in Colleges and Universities Based on Nonlinear Differential Equations. Applied Mathematics and Nonlinear Sciences, v. 8, n. 1, p. 861-868, 2022. DOI: https://doi.org/10.2478/amns.2022.2.0073.

APA

Wu, J., & Hasan, H. (2022). The Optimization of Mathematics Teaching Models in Colleges and Universities Based on Nonlinear Differential Equations. Applied Mathematics and Nonlinear Sciences, 8(1), 861-868. https://doi.org/10.2478/amns.2022.2.0073

BibTeX
@article{wu2022,
  author = {Wu, Jie and Hasan, Hafnida},
  title = {The Optimization of Mathematics Teaching Models in Colleges and Universities Based on Nonlinear Differential Equations},
  year = {2022},
  journal = {Applied Mathematics and Nonlinear Sciences},
  volume = {8},
  number = {1},
  pages = {861-868},
  publisher = {De Gruyter},
  doi = {10.2478/amns.2022.2.0073},
  language = {en}
}
RIS
TY  - JOUR
AU  - Wu, Jie
AU  - Hasan, Hafnida
TI  - The Optimization of Mathematics Teaching Models in Colleges and Universities Based on Nonlinear Differential Equations
PY  - 2022
JO  - Applied Mathematics and Nonlinear Sciences
VL  - 8
IS  - 1
SP  - 861
EP  - 868
DO  - 10.2478/amns.2022.2.0073
LA  - en
ER  -

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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