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

Zhi-Jun Meng; Yao-Ming Zhou; Huan-Qing Wang

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

机译：与不可微传热相关的扩散模型的局部分数变分迭代算法

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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.

机译：本文提出了局部分数变分迭代算法III的新应用，以解决在与不可分传热相关的Cantor集上定义的局部分数扩散方程。

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《Thermal science》 |2016年第3期|781-784|共4页
作者
Zhi-Jun Meng; Yao-Ming Zhou; Huan-Qing Wang;
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正文语种 eng
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heat transfer; diffusion equation; analytical solution; variational iteration algorithm III; diffusion equation; local fractional calculus;

机译：传热扩散方程解析解变分迭代算法III扩散方程局部分数阶微积分;

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1. Local fractional variational iteration algorithm iii for the diffusion model associated with non-differentiable heat transfer [J] . Meng Zhi-Jun, Zhou Yao-Ming, Wang Huan-Qing Thermal science . 2016,第supplaa3期

机译：局部分析迭代算法III与非可微分传热相关的扩散模型
2. Local fractional variational iteration algorithm II for non-homogeneous model associated with the non-differentiable heat flow: [J] . Yu Zhang, Hari M Srivastava, Mihaela-Cristina Baleanu Advances in Mechanical Engineering . 2015,第10期

机译：与不可微热流相关的非均匀模型的局部分数变分迭代算法II：
3. Reduced differential transform and variational iteration methods for 3-D diffusion model in fractal heat transfer within local fractional operators [J] . Jafari Hossein, Jassim Kamil Hassan, Vahidi Javad Thermal science . 2018,第Supplaa1期

机译：局部分数算子中分形传热的3-D扩散模型的简化差分变换和变分迭代方法
4. SMITH PREDICTOR EMBEDDED WITH FRACTIONAL ALGORITHMS FOR THE CONTROL OF A HEAT DIFFUSION SYSTEM [C] . Isabel S. Jesus, J. Tenreiro Machado DETC2009;ASME international design engineering technical conferences;Computers and information in engineering conference;CIE2009;International conference on multibody systems, nonlinear dynamics and control . 2010

机译：分数阶算法嵌入的SMITH预测器，用于控制热扩散系统
5. ITERATIVE FINITE-DIFFERENCE SOLUTION OF HEAT TRANSFER AND FLUID FLOW WITH TRUNCATED MODAL ACCELERATION AND IMAGINARY TIME (ALGORITHM, MODELING, STEADY-STATE). [D] . MECH, ANDREW RAYMOND. 1986

机译：截断模态加速度和假想时间（算法，模型，稳态）的传热和流体流动的迭代有限差分法。
6. Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative [O] . Rafał Brociek, Agata Chmielowska, Damian Słota 2020

机译：概率蚁群优化算法的比较及其在求解模型逆问题的应用中的迭代方法Caputo型分数衍生
7. Local fractional variational iteration algorithm iii for the diffusion model associated with non-differentiable heat transfer [O] . Meng Zhi-Jun, Zhou Yao-Ming, Wang Huan-Qing 2016

机译：局部分数变分迭代算法iii用于与不可微分热传递相关的扩散模型

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

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