Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching

被引:0
|
作者
Liu, Chunguang [1 ]
Zhang, Tenghao [2 ]
机构
[1] Yantai Vocat Coll, Yantai 264670, Shandong, Peoples R China
[2] Edith Cowan Univ, Sch Business & Law, Joondalup, WA 6027, Australia
关键词
Ordinary differential equations; Constructivism; College mathematics teaching; Riccati method;
D O I
10.2478/amns.2022.2.0043
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:585 / 592
页数:8
相关论文
共 50 条
  • [21] COURSES OF PERFECTING IN MATHEMATICS .8. RUNGE-KUTTA METHOD OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS
    BUCHSE, W
    [J]. CHEMISCHE TECHNIK, 1974, 26 (01): : 44 - 46
  • [22] ESYSODET - Expert system for symbolic ordinary differential equations teaching
    Barrera, EC
    [J]. 4TH WORLD CONGRESS OF EXPERT SYSTEMS, VOL 1 AND 2: APPLICATION OF ADVANCED INFORMATION TECHNOLOGIES, 1998, : 731 - 737
  • [23] Application of Mathematical Modeling Method in College Mathematics Teaching
    Kan Xingli
    [J]. INTERNATIONAL SYMPOSIUM 2018 - MECHANICAL AND ELECTRONICAL SYSTEMS AND CONTROL ENGINEERING, 2018, : 47 - 51
  • [24] College Mathematics Teaching Method Based on Big Data
    Cui, Limin
    Liao, Yonglong
    Wang, Ying
    Dong, Xiaoyan
    [J]. INTERNATIONAL JOURNAL OF EMERGING TECHNOLOGIES IN LEARNING, 2019, 14 (13): : 47 - 58
  • [25] Reformulated parametric learning based on ordinary differential equations
    Yang, Shuang-Hong
    Hu, Bao-Gang
    [J]. COMPUTATIONAL INTELLIGENCE, PT 2, PROCEEDINGS, 2006, 4114 : 256 - 267
  • [26] MACHINE LEARNING METHODS FOR AUTONOMOUS ORDINARY DIFFERENTIAL EQUATIONS
    Bouchereau, Maxime
    Chartier, Philippe
    Lemou, Mohammed
    Mehats, Florian
    [J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2024, 22 (06) : 1463 - 1482
  • [27] A CONSTRUCTIVIST CRITIQUE OF MASTERY LEARNING IN MATHEMATICS
    RITCHIE, G
    CARR, K
    [J]. NEW ZEALAND JOURNAL OF EDUCATIONAL STUDIES, 1992, 27 (02) : 191 - 201
  • [28] CONSTRUCTIVIST PERSPECTIVES ON SCIENCE AND MATHEMATICS LEARNING
    WHEATLEY, GH
    [J]. SCIENCE EDUCATION, 1991, 75 (01) : 9 - 21
  • [29] A direct method for exact discretization of ordinary differential equations
    Kawarai, S
    [J]. 2004 47TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL I, CONFERENCE PROCEEDINGS, 2004, : 89 - 92