Problem 5 The following heat equation is given in two spatial dimensions, u,u+u, in the range 00, subject
Posted: Thu Jun 30, 2022 7:50 pm
- Problem 5 The Following Heat Equation Is Given In Two Spatial Dimensions U U U In The Range 0 X 1 0 Y 1 1 0 Subject 1 (17 KiB) Viewed 39 times
Problem 5 The following heat equation is given in two spatial dimensions, u,u+u, in the range 0<x<1, 0<y<1, 1>0, subject to Neumann boundary conditions, u, (0, y, t)=0, u,(1.y.t)=0, u, (x,0,1)=0, u, (x,1,1)= 0. a. Write the general solution of the problem. (15 points) b. Find the particular solution obeying the initial condition u(x, y,0)=2 cos (ry)-4. (10 points)