On the Unique Solvability of a Three-Point Problem for Partial Differential Equation in a Two-Dimensional Domain

2020 ◽  
Vol 246 (2) ◽  
pp. 170-187
Author(s):  
P. I. Kalenyuk ◽  
I. I. Volyans’ka ◽  
V. S. Il’kiv ◽  
Z. M. Nytrebych
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Unique Solvability ◽  
Point Problem ◽  
Two Dimensional ◽  
Partial Differential ◽  
Dimensional Domain

Heat Conduction Equation Finite Volume Method to Achieve on MATLAB

2012 ◽  
Vol 195-196 ◽  
pp. 712-717
Author(s):  
Qiong Xue ◽  
Xiao Feng Xiao ◽  
Niang Zhi Fan
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Heat Conduction ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Heat Conduction Equation ◽  
Conduction Equation ◽  
Two Dimensional ◽  
Partial Differential ◽  
Volume Method

Diffusion only, two dimensional heat conduction has been described on partial differential equation. Based on Finite Volume Method, Discretized algebraic Equation of partial differential equation have been deduced. different coefficients and source terms have been discussed under different boundary conditions, which include prescribed heat flux, prescribed temperature, convection and insulated. Transient heat conduction analysises of infinite plate with uniform thickness and two dimensional rectangle region have been realized by programming using MATLAB. It is useful to make the heat conduction equation more understandable by its solution with graphical expression, feasibility and stability of numerical method have been demonstrated by running result.

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