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

页码：S781 / S784

页数：4

共 50 条

[21] New Perturbation-Iteration Algorithm for Nonlinear Heat Transfer of Fractional Order
Aal, Mohammad Abdel
FRACTAL AND FRACTIONAL, 2024, 8 (06)
[22] On the non-differentiable exact solutions of the (2+1)-dimensional local fractional breaking soliton equation on Cantor sets
Wang, Kang-Jia
Si, Jing
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 1456 - 1465
[23] 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
[24] 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
[25] Variational formulation for a fractional heat transfer model in firefighter protective clothing
Yu, Yue
Xu, Dinghua
Xu, Yongzhi Steve
Zhang, Qifeng
APPLIED MATHEMATICAL MODELLING, 2016, 40 (23-24) : 9675 - 9691
[26] A new numerical technique for local fractional diffusion equation in fractal heat transfer
Yang, Xiao-Jun
Tenreiro Machado, J. A.
Baleanu, Dumitru
Gao, Feng
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (10): : 5621 - 5628
[27] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model
Atangana, Abdon
Baleanu, Dumitru
THERMAL SCIENCE, 2016, 20 (02): : 763 - 769
[28] A MODIFICATION FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING NON-LINEAR GAS DYNAMIC AND COUPLED KdV EQUATIONS INVOLVING LOCAL FRACTIONAL OPERATORS
Baleanu, Dumitru
Jassim, Hassan Kamil
Khan, Hasib
THERMAL SCIENCE, 2018, 22 : S165 - S175
[29] THE DIFFUSION MODEL OF FRACTAL HEAT AND MASS TRANSFER IN FLUIDIZED BED A Local Fractional Arbitrary Euler-Lagrange Formula
Cheng, Xu
Ma, Xiao-Xun
THERMAL SCIENCE, 2015, 19 : S109 - S115
[30] 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

← 1 2 3 4 5 →