MATHEMATICAL MODELING IN MATLAB AND PYTHON FOR THE HEAT CONDUCTION EQUATION WITH HOMOGENEOUS BOUNDARY CONDITIONS AND VARIABLE SOURCE FUNCTION
Kaspars Dortāns, Ilmārs Kangro · HUMAN ENVIRONMENT TECHNOLOGIES Proceedings of the Students International Scientific and Practical Conference · 2024
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.