Answer Happy

1. This question carries [20 MARKS] in total. Consider the heat equation for u(t, x) on the unit interval, ди J²u 0, 0

Posted: Thu May 05, 2022 6:44 pm

by answerhappygod

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1. This question carries [20 MARKS] in total. Consider the heat equation for u(t, x) on the unit interval, ди J²u 0, 0<x< 1, t> 0. Ət дх2 (a) [15 MARKS] Solve the initial-boundary value problem where the initial conditions are u(0, x) = 0, and the boundary conditions are mixed and inhomogeneous, ди əx (t,0) = 0, u(t, 1) = sin(wt). (b) [5 MARKS] Explicitly compute u(t, 0) in the limit that the frequency of the boundary condition w→∞. -