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Supplementary Problems
Exercise 157. Solve the completely inhomogeneous diffusion problem on the half-
line v − kv xx = f(x, t) for 0 < x < ∞, 0 < t < ∞, v(0, t) = h(t) v(x, 0) = φ(x),
t
by carrying out the subtraction method begun in the text.
Exercise 158. Solve the inhomogeneous Neumann diffusion problem on the half-
line w − kw xx = 0 for 0 < x < ∞, 0 < t < ∞, w (0, t) = h(t), w(x, 0) = φ(x),
x
t
by the subtraction method indicated in the text.
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