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 18 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] 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
  • [4] 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
  • [5] A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations
    Gao, Feng
    Srivastava, H. M.
    Gao, Ya-Nan
    Yang, Xiao-Jun
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5830 - 5835
  • [6] LOCAL FRACTIONAL LAPLACE SERIES EXPANSION METHOD FOR DIFFUSION EQUATION ARISING IN FRACTAL HEAT TRANSFER
    Yan, Sheng-Ping
    THERMAL SCIENCE, 2015, 19 : S131 - S135
  • [7] NON-DIFFERENTIABLE FRACTIONAL ODD-SOLITON SOLUTIONS OF LOCAL FRACTIONAL GENERALIZED BROER-KAUP SYSTEM BY EXTENDING DARBOUX TRANSFORMATION
    Xu, Bo
    Shi, Pengchao
    Zhang, Sheng
    THERMAL SCIENCE, 2023, 27 (Special Issue 1): : S77 - S86
  • [8] New Perturbation-Iteration Algorithm for Nonlinear Heat Transfer of Fractional Order
    Aal, Mohammad Abdel
    FRACTAL AND FRACTIONAL, 2024, 8 (06)
  • [9] Application of variational iteration method and homotopy-perturbation method for nonlinear heat diffusion and heat transfer equations
    Ganji, D. D.
    Afrouzi, G. A.
    Talarposhti, R. A.
    PHYSICS LETTERS A, 2007, 368 (06) : 450 - 457
  • [10] ADOMIAN DECOMPOSITION METHOD FOR THREE-DIMENSIONAL DIFFUSION MODEL IN FRACTAL HEAT TRANSFER INVOLVING LOCAL FRACTIONAL DERIVATIVES
    Fan, Zhi-Ping
    Jassim, Hassan Kamil
    Raina, Ravinder Krishna
    Yang, Xiao-Jun
    THERMAL SCIENCE, 2015, 19 : S137 - S141
12