Figure 1 USE FORTRAN or PYTHON Using the recursive method, write a program in Fortran or Python to calculate the solutio

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Figure 1 Use Fortran Or Python Using The Recursive Method Write A Program In Fortran Or Python To Calculate The Solutio 1 (44.99 KiB) Viewed 35 times

Figure 1 USE FORTRAN or PYTHON Using the recursive method, write a program in Fortran or Python to calculate the solution of the Laplace equation in a circular region of space between radius rmin and max, as in figure 1. To do so, make the uniform discretization of the radial and polar coordinates, by the relations: ri 0; = 'min + iA, jA, where i and j are integers in the interval [1, Nr] and [1, NO), respectively, while Nrand N are the number of points used to discretize the coordinatesr and 8. Furthermore, Ar= (rmax-rmin)/(Nr-1) and 40 = 21/(N-1) are the steps. In this way, one can approximate the first and second order derivatives by: 22 av ar 22V ar2 av ag2 V(i+1,j) - V(i – 1,j) 24, V(i+1, j) - 2V(i,j) + V (i – 1,j) A? V(i,i+1) – 2V(i, j) + V(i, j - 1) Δ3 Test your program with the boundary conditions (rmin, 8) = 1, and V (rmax, 6) = 5, Ve, where rmin= 1, rmax = 5. Nr = Ne = 100. Send the graph and the program used.