A NEW ITERATION ALGORITHM FOR SOLVING THE DIFFUSION PROBLEM IN NON-DIFFERENTIABLE HEAT TRANSFER

被引：2

作者：

Yang, Zhifeng ^{[1
,2
]}

Zhao, Yang ^{[3
]}

Fan, Guobing ^{[4
]}

机构：

[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China

[2] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang, Peoples R China

[3] Jiangmen Polytech, Dept Elect & Informat Technol, Jiangmen, Peoples R China

[4] Hunan Univ Finance & Econ, Dept Basic Subjects, Changsha, Hunan, Peoples R China

来源：

THERMAL SCIENCE | 2015年 / 19卷

关键词：

variational iteration algorithm; LFVIA-II; diffusion equation; heat transfer; non-differentiable; local fractional derivative; EQUATIONS; SURFACES;

D O I：

10.2298/TSCI15S1S05Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In the article, the variational iteration algorithm LFVIA-II is implemented to solve the diffusion equation occurring in non-differentiable heat transfer. The operators take in sense of the local fractional operators. The obtained results show the fractal behaviors of heat transfer with non-differentiability.

引用

页码：S105 / S108

页数：4

共 50 条

[1] LOCAL FRACTIONAL VARIATIONAL ITERATION ALGORITHM III FOR THE DIFFUSION MODEL ASSOCIATED WITH NON-DIFFERENTIABLE HEAT TRANSFER
Meng, Zhi-Jun
Zhou, Yao-Ming
Wang, Huan-Qing
THERMAL SCIENCE, 2016, 20 : S781 - S784
[2] 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
[3] Duality for a non-differentiable programming problem
Zhang, J
Mond, B
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1997, 55 (01) : 29 - 44
[4] On a variational problem with non-differentiable constraints
Moser, Roger
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 29 (01) : 119 - 140
[5] On a variational problem with non-differentiable constraints
Roger Moser
Calculus of Variations and Partial Differential Equations, 2007, 29 : 119 - 140
[6] CONVERGENCE PROPERTIES OF AN ALGORITHM FOR SOLVING NON-DIFFERENTIABLE OPTIMAL-CONTROL PROBLEMS
STACHURSKI, A
SAKAWA, Y
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (7-8) : 765 - 786
[7] PROXIMAL DIFFUSION FOR STOCHASTIC COSTS WITH NON-DIFFERENTIABLE REGULARIZERS
Vlaski, Stefan
Sayed, Ali H.
2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP), 2015, : 3352 - 3356
[8] Modification of the iteration algorithm for solving the inverse heat conduction problem
Mavrin, S.V.
Inzhenerno-Fizicheskii Zhurnal, 1995, 68 (03): : 494 - 499
[9] Flying elephants: a general method for solving non-differentiable problems
Xavier, Adilson Elias
Xavier, Vinicius Layter
JOURNAL OF HEURISTICS, 2016, 22 (04) : 649 - 664
[10] Using decomposition of the nonlinear operator for solving non-differentiable problems
Villalba, Eva G.
Hernandez, Miguel
Hueso, Jose L.
Martinez, Eulalia
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023,

← 1 2 3 4 5 →