The Text book for this class is available as PDF in Google. The text books are 1-partial differential equation(spring) by fritz john. 2-partial differential equation: analytical solution techniques by j. Kevorkian. PLEASE I SENT SAME QUESTIONS TO YOU LAST WEEK AND THE EXPERT DID ITUNCOMPLETED AND UNCLEAR, PLEASE GIVE IT TO EXPERT IN pde
PDE Homework #3: Separation of Variables for the Heat Equation Use separation of variables to solve the following heat equation problem with inhomogeneous boundary conditions: 2 2 3 (0, ) 20 (40, ) 100 ( , 0) 40 u u t x u t u t u x x ? ? ? ? ??? ? ? After you have found the infinite series solution using separation of variables, then use Matlab to evaluate your series solution in order to plot the temperature profile at a few fixed values of time. In other words, plot u(x,t) versus x for a few fixed values of t. Put all the temperature curves on a single plot and label the t value for each curve.