Consider u t = k 2u x2 + Q(x, t) u(x, 0) = f(x) u x(0, t) = A(t) u x(L, t) = B(t). (a)
Chapter 11, Problem 11.3.5(choose chapter or problem)
Consider u t = k 2u x2 + Q(x, t) u(x, 0) = f(x) u x(0, t) = A(t) u x(L, t) = B(t). (a) Solve for the appropriate Greens function using the method of eigenfunction expansion. (b) Approximate the Greens function of part (a). Under what conditions is your approximation valid?(c) Solve for the appropriate Greens function using the infinite space Greens function. (d) Approximate the Greens function of part (c). Under what conditions is your approximation valid? (e) Solve for u(x, t) in terms of the Greens function.
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