Just part c. Thank you. You can use matlab or c.

(1) Please submit a printed report for the project. (2) In the report, please attach brief method introduction, your computer code, and all required analysis. Consider 2D Poisson's Equation Au = sin(72) sin(ty), over the region (0,1) (0,1). u(x, y) = 0 along the domain boundary. The exact solution for the problem is given by u(x, y) = -2 sin(Tx) sin(ny). Using centered difference scheme and a mesh of 64 x 64, obtain a linear system Au= f for the problem, then solve the linear system using the following methods until a relative residual of 10-4 (set maximum number of iterations to 2000) is obtained. For all the methods, plot the analytical solution, numerical solution and the error distribution. For (a) and (b), analyze the convergence through eigenvalue calculation. (a) Jacobi's Method (b) SOR Iteration with w=0.75 and w = 1.25, respectively. (c) Steepest Descent Method