LOCAL FRACTIONAL VARIATIONAL ITERATION ALGORITHM III FOR THE DIFFUSION MODEL ASSOCIATED WITH NON-DIFFERENTIABLE HEAT TRANSFER

被引:8
|
作者
Meng, Zhi-Jun [1 ]
Zhou, Yao-Ming [1 ]
Wang, Huan-Qing [2 ]
机构
[1] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing, Peoples R China
[2] Sci & Technol Electromagnet Scattering Lab, Beijing, Peoples R China
来源
THERMAL SCIENCE | 2016年 / 20卷
关键词
heat transfer; diffusion equation; analytical solution; variational iteration algorithm III; dffusion equation; local fractional calculus; EQUATIONS;
D O I
10.2298/TSCI16S3781M
中图分类号
O414.1 [热力学];
学科分类号
摘要
This paper addresses a new application of the local fractional variational iteration algorithm III to solve the local fractional diffusion equation defined on Cantor sets associated with non-differentiable heat transfer.
引用
收藏
页码:S781 / S784
页数:4
相关论文
共 50 条
  • [1] Local fractional variational iteration algorithm II for non-homogeneous model associated with the non-differentiable heat flow
    Zhang, Yu
    Srivastava, Hari M.
    Baleanu, Mihaela-Cristina
    ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (10) : 1 - 5
  • [2] A NEW ITERATION ALGORITHM FOR SOLVING THE DIFFUSION PROBLEM IN NON-DIFFERENTIABLE HEAT TRANSFER
    Yang, Zhifeng
    Zhao, Yang
    Fan, Guobing
    THERMAL SCIENCE, 2015, 19 : S105 - S108
  • [3] NON-DIFFERENTIABLE SOLUTIONS FOR NON-LINEAR LOCAL FRACTIONAL HEAT CONDUCTION EQUATION
    Zhang, Sheng
    Zheng, Xiaowei
    THERMAL SCIENCE, 2021, 25 (SpecialIssue 2): : S309 - S314
  • [4] A NON-DIFFERENTIABLE SOLUTION FOR THE LOCAL FRACTIONAL TELEGRAPH EQUATION
    Li, Jie
    Zhang, Ce
    Liu, Weixing
    Zhang, Yuzhu
    Yang, Aimin
    Zhang, Ling
    THERMAL SCIENCE, 2017, 21 : S225 - S231
  • [5] THE NON-DIFFERENTIABLE SOLUTION FOR LOCAL FRACTIONAL LAPLACE EQUATION IN STEADY HEAT-CONDUCTION PROBLEM
    Chen, Jie-Dong
    Li, Hua-Ping
    THERMAL SCIENCE, 2016, 20 : S769 - S772
  • [6] On the local fractional derivative of everywhere non-differentiable continuous functions on intervals
    Liu, Cheng-shi
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 42 : 229 - 235
  • [7] Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations
    Yang, Xiao-Jun
    Srivastava, H. M.
    Torres, Delfim F. M.
    Zhang, Yudong
    FUNDAMENTA INFORMATICAE, 2017, 151 (1-4) : 409 - 417
  • [8] REDUCED DIFFERENTIAL TRANSFORM AND VARIATIONAL ITERATION METHODS FOR 3-D DIFFUSION MODEL IN FRACTAL HEAT TRANSFER WITHIN LOCAL FRACTIONAL OPERATORS
    Jafari, Hossein
    Jassim, Hassan Kamil
    Vahidi, Javad
    THERMAL SCIENCE, 2018, 22 : S301 - S307
  • [9] Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets
    Maitama, Shehu
    Zhao, Weidong
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [10] Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets
    Shehu Maitama
    Weidong Zhao
    Advances in Difference Equations, 2019