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This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme.

In the numerical solution of partial differential equations, such as the two-dimensional heat equation, ensuring the stability of the numerical scheme is essential for obtaining reliable and accurate ...

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Eq7 Conclusion While this article presents the basics of numerical methods for solving the 2D heat transfer equation, there are several other factors to consider when solving engineering problems ...

We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the ...

I'm trying to solve the heat equation in 2D. Before explaining my problem, I would like to stress that I'm a new Julia user, and my questions may be basic. Let write the heat equation (in 2D) as du/dt ...

This essay presents the dynamics of progressive wave solutions via the 2D-chiral nonlinear Schrödinger (2D-CNLS) equation. The solutions acquired comprise dark optical solitons, periodic solitons, ...