The 1D transient heat equation is solved for conduction and heat transfer to the surface of a steel slab. This is useful for heat treatment, especially for estimating the soaking time. It is is mostly ...

This project implements finite difference methods to solve Poisson's equation in 1D and 2D domains, with a focus on heat distribution problems. FiniteDifference/ ├── README.md # Project documentation ...

In this paper, we present improved results on observer design for 1D heat equation. ... (LMIs) that are parameterized by the degree of the polynomials. Finally, a numerical example illustrates the ...

In this paper we show a boundary result of controllability by a new approach using a linear, continuous and surjective operator built from the solution of the heat system. And, subsequently, the ...

where ε ∈ (0,1]. If ε = 0 in (1.1) we have the classical problem with homogeneous Dirichlet boundary conditions for the heat equation which is well known.. There is great interest on heat problems and ...