Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2023-01-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2022.2.0043 |
| _version_ | 1797688772708532224 |
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| author | Liu Chunguang Zhang Tenghao |
| author_facet | Liu Chunguang Zhang Tenghao |
| author_sort | Liu Chunguang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T01:36:37Z |
| format | Article |
| id | doaj.art-d426b9d7175f4d9690fd60c7eadadbf5 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-03-12T01:36:37Z |
| publishDate | 2023-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-d426b9d7175f4d9690fd60c7eadadbf52023-09-11T07:01:08ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-01-018158559210.2478/amns.2022.2.0043Constructivist Learning Method of Ordinary Differential Equations in College Mathematics TeachingLiu Chunguang0Zhang Tenghao11Yantai Vocational College, Yantai,Shandong, 264670, China2School of Business and Law, Edith Cowan University, Joondalup, W.A 6027, AustraliaThe 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.https://doi.org/10.2478/amns.2022.2.0043ordinary differential equationsconstructivismcollege mathematics teachingriccati method34a25 |
| spellingShingle | Liu Chunguang Zhang Tenghao Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching Applied Mathematics and Nonlinear Sciences ordinary differential equations constructivism college mathematics teaching riccati method 34a25 |
| title | Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching |
| title_full | Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching |
| title_fullStr | Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching |
| title_full_unstemmed | Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching |
| title_short | Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching |
| title_sort | constructivist learning method of ordinary differential equations in college mathematics teaching |
| topic | ordinary differential equations constructivism college mathematics teaching riccati method 34a25 |
| url | https://doi.org/10.2478/amns.2022.2.0043 |
| work_keys_str_mv | AT liuchunguang constructivistlearningmethodofordinarydifferentialequationsincollegemathematicsteaching AT zhangtenghao constructivistlearningmethodofordinarydifferentialequationsincollegemathematicsteaching |