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Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching

Artigo2022

Chunguang Liu ORCID; Tenghao Zhang ORCID

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Resumo

Abstract The article uses ordinary differential to solve inhomogeneous equations by the constructivist learning concept. We use the equivalent equations to study the n-th order non-homogeneous linear ordinary differential equations with constant coefficients and get the method of solving this equation. Then we use the Filippov transformation and comparison theorem to prove the boundedness of all system trajectories. Numerical results show that the calculation formula is effective for solving stiff ordinary differential equations.

Dados da obra

Tipo
Artigo
Periódico
Applied Mathematics and Nonlinear Sciences, v. 8, n. 1, p. 585-592
Editora
De Gruyter
Ano
2022 (2022-07-15)
Idioma
en
Palavras-chave
constructivist learning; ordinary differential equations; non-homogeneous linear differential equations; constant coefficients; equivalent equations; comparison theorems; boundedness of trajectories; stiff ordinary differential equations; numerical solution
Temas
Álgebra
DOI
10.2478/amns.2022.2.0043
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
LIU, Chunguang; ZHANG, Tenghao. Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching. Applied Mathematics and Nonlinear Sciences, v. 8, n. 1, p. 585-592, 2022. DOI: https://doi.org/10.2478/amns.2022.2.0043.

APA

Liu, C., & Zhang, T. (2022). Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching. Applied Mathematics and Nonlinear Sciences, 8(1), 585-592. https://doi.org/10.2478/amns.2022.2.0043

BibTeX
@article{liu2022,
  author = {Liu, Chunguang and Zhang, Tenghao},
  title = {Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching},
  year = {2022},
  journal = {Applied Mathematics and Nonlinear Sciences},
  volume = {8},
  number = {1},
  pages = {585-592},
  publisher = {De Gruyter},
  doi = {10.2478/amns.2022.2.0043},
  language = {en}
}
RIS
TY  - JOUR
AU  - Liu, Chunguang
AU  - Zhang, Tenghao
TI  - Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching
PY  - 2022
JO  - Applied Mathematics and Nonlinear Sciences
VL  - 8
IS  - 1
SP  - 585
EP  - 592
DO  - 10.2478/amns.2022.2.0043
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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