Use a computer as a computational aid. Use uij = [ui+1,j + uj-1,j + uj i-1]...

Transcribed Image Text:

Use a computer as a computational aid. Use uij = [ui+1,j + uj-1,j + uj i-1] and Gauss-Seidel iteration to approximate the solution of Laplace's equation at the interior points of a unit square. Use the + Ui,j+1 mesh size h = The boundary conditions are given. (Assume u00 = u(0, 0). Round your answers to four decimal places.) u(0, y) = 0, u(1, y) = 80y, 0 < y < 1 u(x, 0) = 0, u(x, 1) = 80x, 0 < x < 1 U11 = 15 U21 = 10 U31 U12 = 30 U22 = 20 U32 = 10 U13 45 U23 = 30 U33 = 15 eBook X > X x > X Il || Use a computer as a computational aid. Use uij = [ui+1,j + uj-1,j + uj i-1] and Gauss-Seidel iteration to approximate the solution of Laplace's equation at the interior points of a unit square. Use the + Ui,j+1 mesh size h = The boundary conditions are given. (Assume u00 = u(0, 0). Round your answers to four decimal places.) u(0, y) = 0, u(1, y) = 80y, 0 < y < 1 u(x, 0) = 0, u(x, 1) = 80x, 0 < x < 1 U11 = 15 U21 = 10 U31 U12 = 30 U22 = 20 U32 = 10 U13 45 U23 = 30 U33 = 15 eBook X > X x > X Il ||