The finite difference method in the 2D Fourier equation with Robin's boundary condition

Abstract

Abstract. This paper contains the application of the Finite Difference Method in the two-dimensional Fourier equation using Robin's boundary condition (the third boundary condition).

The n-dimensional Fourier equation with the Robin's boundary condition using the finite difference method

“…This article is the continuation of the discussion on the boundary-initial problem for the heat flow described by the Fourier equation [3,4].…”

The 3D Fourier equation with the Robin's boundary condition using the finite difference method

“…Both this article and the previous one [3] are the introduction to the discussion on the boundary-initial problem for n-dimensional heat flow described by the Fourier equation.…”

“…Using the determinant of the matrix A we obtain the limitations on the steps of the differential grid [4] …”