Assignment Task
Questions
1. Solve uxxutt given that u(x, 0) = 0; u(0, t) = 0; u(x, 0) = 0 and u(1, t)= 100 sin ( t) in the range 0 ≤t≤ 1 by taking h=0.25.
2. Solve uxx 32u, subject to the conditions u(0, t) = 0; u(1,t) = t and u(x, |0) = 0. Find the values of u upto t = 5 by Schmidt’s process taking h= 0.25
3. Solve the elliptical equation uxx + Uyy = 0 at the pivotal points for the square mesh using Leibmann’s Method.
4. Solve the Poisson’s equation V2u = 8x2y2 for the square mesh in the figure with u(x,y) = 0 on the boundary and mesh length 1.
5. Solve the equation y = 2x – 2y with the boundary conditions y(0) = y(1) = 0 with the finite difference method.
6. Solve the equation y=x+2y with the boundary conditions y(0) = y(1) = 0 with the finite difference method.
