Generalized boundary conditions for time-fractional heat conduction equation

被引：0
|
作者：
Povstenko, Yuriy [1 ,2 ]
机构：
[1] Jan Dlugosz Univ, Inst Math & Comp Sci, Czestochowa, Poland
[2] European Univ Informat & Econ EWSIE, Dept Informat, Warsaw, Poland
来源：
2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA) | 2014年
关键词：
INFINITE MEDIUM; DIFFUSION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Different types of boundary conditions for the time-fractional heat conduction equation in a bounded domain are examined. A composed solid consisting of three domains is considered. Assuming that the thickness of the intermediate domain is small with respect to two other sizes and is constant, a three-dimensional heat conduction problem in the intermediate domain is reduced to the two-dimensional one for the median surface endowed with averaged physical properties. The obtained results can be interpreted as the generalized conditions of nonperfect thermal contact.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] Thermoelasticity of thin shells based on the time-fractional heat conduction equation
    Povstenko, Yuriy
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (06): : 685 - 690
  • [2] Time-Fractional Heat Conduction with Heat Absorption in a Half-Line Domain Due to Boundary Value of the Heat Flux Varying Harmonically in Time
    Povstenko, Yuriy
    Kyrylych, Tamara
    ADVANCES IN NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2020, 559 : 268 - 281
  • [3] A HIGHER-ORDER APPROACH FOR TIME-FRACTIONAL GENERALIZED BURGERS' EQUATION
    Taneja, Komal
    Deswal, Komal
    Kumar, Devendra
    Baleanu, Dumitru
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (07)
  • [4] A Stable Numerical Approach to Solve a Time-Fractional Inverse Heat Conduction Problem
    Babaei, Afshin
    Banihashemi, Seddigheh
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A4): : 2225 - 2236
  • [5] On a nonlinear time-fractional cable equation
    Jleli, Mohamed
    Samet, Bessem
    AIMS MATHEMATICS, 2024, 9 (09): : 23584 - 23597
  • [6] L1/LDG method for the generalized time-fractional Burgers equation
    Li, Changpin
    Li, Dongxia
    Wang, Zhen
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 187 : 357 - 378
  • [7] Numerical scheme with convergence for a generalized time-fractional Telegraph-type equation
    Kumar, Kamlesh
    Pandey, Rajesh K.
    Sharma, Shiva
    Xu, Yufeng
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (03) : 1164 - 1183
  • [8] A Fractional Tikhonov Regularisation Method for Finding Source Terms in a Time-Fractional Radial Heat Equation
    Yang, Shuping
    Xiong, Xiangtuan
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 9 (02) : 386 - 408
  • [9] Thermal shock fracture of a cracked thermoelastic plate based on time-fractional heat conduction
    Zhang, Xue-Yang
    Li, Xian-Fang
    ENGINEERING FRACTURE MECHANICS, 2017, 171 : 22 - 34
  • [10] An Inverse Problem for a Two-Dimensional Time-Fractional Sideways Heat Equation
    Liu, Songshu
    Feng, Lixin
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020 (2020)
12345