Mathematics Homework Solutions
#241523
Heat Equation : Boundary Conditions and Initial Value Problem
Please see the attached file for the fully formatted problems.
Solve the heat equation
u_t = ku_xx
for 0
With boundary conditions u(0,t)=u(L,t)=0
Solve for the initial value conditions:
a. u(x,0) = sin(5*Pi*x/L)
b. u(x,0) = x
c. For part b, plot the solution at t=0, 0.1, 1
The 9 pages solution includes full derivations explanations of the method of separation of variables and Fourier series expansion.
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