A New Mathematical Model and its Solvability Test on Computer

被引:0
|
作者
Zhang, Sheng [1 ]
Tian, Chi [1 ]
机构
[1] Bohai Univ, Sch Math & Phys, Jinzhou 121013, Peoples R China
来源
PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INFORMATION ENGINEERING FOR MECHANICS AND MATERIALS | 2016年 / 97卷
关键词
Solvability; Mathematical Model; Mathematica; 4.0; FUNCTION EXPANSION METHOD; TRAVELING-WAVE SOLUTIONS; DE-VRIES EQUATION; DYNAMICS;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
It is interesting to test the solvability of nonlinear differential equations. In this paper, a new mathematical model passes through the test of solvability on computer. To test the solvability of the mathematical model, Mathematica 4.0 software system combined with a subsidiary equation method is utilized. At the same time, some solutions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solution. This paper shows that the Mathematica 4.0 software system combined with the subsidiary equation method can provide a preferred mathematical tool for testing the solvability of some new nonlinear differential equations.
引用
收藏
页码:375 / 379
页数:5
相关论文
共 50 条
  • [1] Mathematical Model of Heat Treatment and Its Computer Simulation
    Pan Jiansheng 1
    2. Shanghai Volkswagen Automotive Company Ltd.
    Engineering Sciences, 2004, (02) : 15 - 20
  • [2] Algorithm-Oriented SIMD Computer Mathematical Model and Its Application
    Jiang, Yongfeng
    Li, Yuan
    INTERNATIONAL JOURNAL OF INFORMATION AND COMMUNICATION TECHNOLOGY EDUCATION, 2022, 18 (03)
  • [3] Computer model of the test bed
    Belousov, AI
    KORUS 2000: 4TH KOREA-RUSSIA INTERNATIONAL SYMPOSIUM ON SCIENCE AND TECHNOLOGY, PT 3, PROCEEDINGS: MACHINE PARTS AND MATERIALS PROCESSING, 2000, : 201 - 203
  • [4] Mathematical model and computer simulations of telomere loss
    Spoljaric, Ana Martincic
    Rubelj, Ivica
    Huzak, Miljenko
    JOURNAL OF THEORETICAL BIOLOGY, 2019, 465 : 78 - 89
  • [5] A novel mathematical model for heat transfer of energy pile and its applicability in thermal response test
    Yan Z.
    Zeng S.
    Yang J.
    Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology), 2022, 53 (12): : 4731 - 4740
  • [6] A mathematical model of penile vascular dysfunction and its application to a new diagnostic technique
    Barnea, Ofer
    Hayun, Shimon
    Gillon, Gabriel
    REPRODUCTIVE BIOMECHANICS, 2007, 1101 : 439 - 452
  • [7] Spatial buffering mechanism: Mathematical model and computer simulations
    Steinberg, B
    Wang, YQ
    Huang, HX
    Miura, RM
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2005, 2 (04) : 675 - 702
  • [8] Insight into Breakout Shell of a Bloom Casting by Its Dendritic Morphology and a New Mathematical Model
    Li, Liang
    Tang, Haiyan
    Zhao, Xiao
    Tie, Zhanpeng
    Lan, Peng
    Zhang, Jiaquan
    STEEL RESEARCH INTERNATIONAL, 2019, 90 (05)
  • [9] Mathematical model for the blood coagulation prothrombin time test
    Khanin, MA
    Rakov, DV
    Kogan, AE
    THROMBOSIS RESEARCH, 1998, 89 (05) : 227 - 232
  • [10] Algorithm design of a combinatorial mathematical model for computer random signals
    Yao, Qinghua
    Qiu, Benhua
    PEERJ COMPUTER SCIENCE, 2024, 10