MATHEMATICAL MODELING IN MATLAB AND PYTHON FOR THE HEAT CONDUCTION EQUATION WITH HOMOGENEOUS BOUNDARY CONDITIONS AND VARIABLE SOURCE FUNCTION
DOI:
https://doi.org/10.17770/het2024.28.8255Keywords:
finite difference scheme, heat transfer equation, initial boundary value problem, MATLAB, PythonAbstract
In this paper, we consider solving the initial-boundary value problem of the second-order partial differential equation for the heat transfer equation with variable heat source function. The problem due to the approximation of the second-order derivatives by the finite differences is reduced to the initial value problem depending on one variable – time t. Some numerical results and their characteristics – figures are obtained.
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References
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