Wave equation

Solve uxx+4*uyy=0 given 0<=x<=1 and 0<=y<=1 and u(0,y)=0; u(1,y)=y^2; u(x,0)=0; u(x,1)=0 Sample Solution

Wave Equation

Wave Equation a2u 2 a2u = CA ate az2 Symmetric Wave Equations auab ab au = = — , at CA az at CA az Initial Conditions u(z, 0) = 0 , b(z, 0) = 0 Boundary Conditions (0, t) = sin(2 u(0, u(zena, t) = 0 Givens At = 1 = 10 = c , cA , c cA Az Predictor Ste p 4 = ur –...

Wave Equation

Wave Equation a2u 2 a2u = CA ate az2 Symmetric Wave Equations auab ab au = = — , at CA az at CA az Initial Conditions u(z, 0) = 0 , b(z, 0) = 0 Boundary Conditions (0, t) = sin(2 u(0, u(zena, t) = 0 Givens At = 1 = 10 = c , cA , c cA Az Predictor Ste p 4 = ur –...