The Study of Heat Conduction Equation by Homotopy Perturbation Method

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Nahid Fatima
Keyword(s):  
Heat Conduction ◽  
Perturbation Method ◽  
Heat Conduction Equation ◽  
Homotopy Perturbation Method ◽  
Conduction Equation ◽  
Homotopy Perturbation

scholarly journals Solution of the inverse heat conduction problem with Neumann boundary condition by using the homotopy perturbation method

2013 ◽  
Vol 17 (3) ◽  
pp. 643-650 ◽  
Author(s):  
Edyta Hetmaniok ◽  
Iwona Nowak ◽  
Damian Slota ◽  
Roman Witula ◽  
Adam Zielonka
Keyword(s):  
Boundary Condition ◽  
Heat Conduction ◽  
Perturbation Method ◽  
Neumann Boundary Condition ◽  
Homotopy Perturbation Method ◽  
Heat Conduction Problem ◽  
Neumann Boundary ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Homotopy Perturbation

In the paper a solution of the inverse heat conduction problem with the Neumann boundary condition is presented. For finding this solution the homotopy perturbation method is applied. Investigated problem consists in calculation of the temperature distribution in considered domain, as well as in reconstruction of the functions describing the temperature and the heat flux on the boundary, in case when the temperature measurements in some points of the domain are known. An example confirming usefulness of the homotopy perturbation method for solving problems of this kind are also included.

scholarly journals Meshless local RBF-DG for 2-D heat conduction: A comparative study

2011 ◽  
Vol 15 (suppl. 1) ◽  
pp. 117-121 ◽  
Author(s):  
Soheil Soleimani ◽  
Domiri Ganji ◽  
Esmaiil Ghasemi ◽  
Maziar Jalaal ◽  
Hasan Bararnia
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Comparative Study ◽  
Perturbation Method ◽  
Basis Function ◽  
Homotopy Perturbation Method ◽  
Differential Quadrature Method ◽  
Quadrature Method ◽  
Homotopy Perturbation ◽  
Transfer Problems

Meshless local radial basis function-based differential quadrature method is applied to 2-D conduction problem. Numerical results are compared with those gained by homotopy perturbation method. Outcomes are presented through graphs which prove the accuracy of homotopy perturbation method and its applicability in heat transfer problems.

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