Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet
作者: Fuqiang ZhaoJiaquan XieQingxue Huang
作者单位: 1College of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, China
2Collaborative Innovation Center of Taiyuan Heavy Machinery Equipment, Taiyuan, Shanxi 030024, China
刊名: Discrete Dynamics in Nature and Society, 2017, Vol.2017
来源数据库: Directory of Open Access Journals
DOI: 10.1155/2017/2658124
原始语种摘要: In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration is utilized to reduce the original problem to a system of linear algebraic equations, and then the numerical solutions obtained by our method are compared with those obtained by CAS wavelet method. Lastly, illustrated examples are included to demonstrate the validity and applicability of the technique.
全文获取路径: DOAJ  (合作)
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关键词翻译
关键词翻译
  • Transfer 转运牌汽车
  • integration 集成
  • wavelet 波涟
  • fractional 分级的
  • algebraic 代数的
  • technique 技术
  • demonstrate 说明
  • nonsteady 非稳定的
  • operational 运算的
  • validity 有效