Concepedia

Heat Conduction Equation

The Heat Conduction Equation is a partial differential equation that mathematically describes the transfer of thermal energy through a continuous medium due to conduction, distinguished by its formulation based on Fourier’s law and the conservation of energy under steady-state or transient conditions.

3.5K

Publications

174K

Citations

6.5K

Authors

2.1K

Institutions

Publications per year

2017–2026

664

Parents

Publications

3.5K

Element‐free Galerkin methods

Ted Belytschko, Ye Lu, Linxia Gu · International Journal for Numerical Methods in Engineering · 1994 · 5.6K citations

, , +15

A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type

J Crank, P. Nicolson · Mathematical Proceedings of the Cambridge Philosophical Society · 1947 · 3.3K citations

, , +17

The Numerical Solution of Parabolic and Elliptic Differential Equations

D.W. Peaceman, H.H. Rachford · Journal of the Society for Industrial and Applied Mathematics · 1955 · 3.3K citations

, , +17

Thermoelasticity and Irreversible Thermodynamics

M. A. Biot · Journal of Applied Physics · 1956 · 3K citations · Full text

, , +17

On the numerical solution of heat conduction problems in two and three space variables

Jim Douglas, H.H. Rachford · Transactions of the American Mathematical Society · 1956 · 1.7K citations

, , +6

1–5 of 3.5K

Authors

6.5K

  1. DL
    D. Lesnic

    University of Leeds, United Kingdom

    30 publications · 1.1K citations

    21

    h-index

  2. XG
    Xiao‐Wei Gao

    Dalian University of Technology, China

    32 publications · 1.1K citations

    20

    h-index

  3. AE
    Ahmed E. Abouelregal

    Mansoura University, Egypt

    24 publications · 893 citations

    19

    h-index

  4. RQ
    R. Quintanilla

    Universitat Politècnica de Catalunya, Spain

    22 publications · 1.4K citations

    16

    h-index

  5. CL
    Chein‐Shan Liu

    National Taiwan Ocean University, Taiwan

    22 publications · 648 citations

    16

    h-index

1–5 of 6.5K

Institutions

2.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    26 h-index

    130 publications

    5.1K citations

  2. University of Leeds

    Leeds, United Kingdom

    24 h-index

    88 publications

    3.4K citations

  3. Dalian University of Technology

    Dalian, China

    22 h-index

    147 publications

    4.5K citations

  4. University of Minnesota

    Minneapolis, United States

    20 h-index

    57 publications

    6.4K citations

  5. Southeast University

    Nanjing, China

    19 h-index

    45 publications

    1.7K citations

  6. Mansoura University

    Al Mansurah, Egypt

    19 h-index

    36 publications

    1K citations

  7. North Carolina State University

    Raleigh, United States

    18 h-index

    53 publications

    2.7K citations

  8. National Cheng Kung University

    Tainan City, Taiwan

    18 h-index

    52 publications

    1.4K citations

1–8 of 2.1K

Venues

  1. International Journal of Heat and Mass Transfer

    236 publications · 11K citations

    57

    h-index

  2. Journal of Heat Transfer

    124 publications · 8K citations

    41

    h-index

  3. Journal of Applied Physics

    67 publications · 6.2K citations

    33

    h-index

  4. Journal of Thermal Stresses

    81 publications · 4.9K citations

    31

    h-index

  5. Engineering Analysis with Boundary Elements

    68 publications · 2.5K citations

    29

    h-index

1–5