Find the solution to the heat conduction problem uxx = 4ut, 0 < x < 2, t > 0, u(0, t) = 0, u(2, t) = 0, t > 0, u(x, 0) = 2 sin(πx/2) - sin(πx) + 4 sin(2πx), 0 ≤ x ≤ 2.
Added by Fred D.
Step 1
First, we recognize that this is a heat conduction problem with the given PDE: $u_{xx} = 4u_t$. Show more…
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Find the solution of the heat conduction problem: u_{xx} = 4u_t, 0 < x < 2, t > 0 u(0, t) = 0, u(2, t) = 0, t > 0 u(x, 0) = 2 sin(̀πx/2) - sin πx + 4 sin 2πx, 0 ≤ x ≤ 2.
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