Solve the two-dimensional heat equation u t = k 2u x2 + 2u y2 subject to the
Chapter 8, Problem 7.2.4(choose chapter or problem)
Solve the two-dimensional heat equation u t = k 2u x2 + 2u y2 subject to the time-independent boundary conditions u(0, y, t)=0, y u(x, 0, t)=0 u(L, y, t)=0, u(x, H, t) = g(x) and the initial condition u(x, y, 0) = f(x, y). Analyze the limit as t .
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