Question: Problem 1.1 Use the MATLAB gradient function to implement the function (Fx, Fy] = field2D (xGrid, yGrid, PHI) whose objective is to approximate the field

 Problem 1.1 Use the MATLAB gradient" function to implement the function

Problem 1.1 Use the MATLAB gradient" function to implement the function (Fx, Fy] = field2D (xGrid, yGrid, PHI) whose objective is to approximate the field F=-vo generated by the potential O in each point of a mesh. In the vectors xGrid ERNx+1, yGrid RNy+1, the uniform discretizations in both directions are stored; where xGrid(Nx+1) - XGrid(1) yGrid(Ny+1) - Grid(1) hx hy Nx Ny 9 O is a matrix in R(Ny+1)*(Nx+1) whose input 0 (i, j) represents the potential at the node (xj, yi), for all i = 1, ..., Ny+1, and j = 1, ..., Nx +1. The routine returns two arrays; Fx, and Fy of R(Ny+1)*(Nx+1) whose input (j, i) represents the components of field F at node (xi, and yj), respectively. Problem 1.1 Use the MATLAB gradient" function to implement the function (Fx, Fy] = field2D (xGrid, yGrid, PHI) whose objective is to approximate the field F=-vo generated by the potential O in each point of a mesh. In the vectors xGrid ERNx+1, yGrid RNy+1, the uniform discretizations in both directions are stored; where xGrid(Nx+1) - XGrid(1) yGrid(Ny+1) - Grid(1) hx hy Nx Ny 9 O is a matrix in R(Ny+1)*(Nx+1) whose input 0 (i, j) represents the potential at the node (xj, yi), for all i = 1, ..., Ny+1, and j = 1, ..., Nx +1. The routine returns two arrays; Fx, and Fy of R(Ny+1)*(Nx+1) whose input (j, i) represents the components of field F at node (xi, and yj), respectively

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