Answer Happy

Using RUNGEKUTTA 4TH ORDER, write a program in FORTRAN or PYTHON to obtain the numerical solution of the 2D Laplace equation with rectangular symmetry under the conditions presented below in (a), (b) and (c). For all cases, use Nx = Ny = 100, Lx = Ly = 1, 8 = 10%. In (a), use periodic boundary conditions in the y-direction. In (b), the central square has 10x10 grid points, and is centered in relation to the larger square. In (c), the lines representing the internal boundary conditions are located at the grid points [i = 30 with 30 <j<70), and [i = 70 with 30 < j< 70). For each of the items, send your program, and the 2D figure obtained. (Hint: Position the origin of the coordinate system in the lower left corner.) V = -1 V = +1 V=1 V=0 VO V=+1 V=-1 X X -1 +1 (a) (b) (c)