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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
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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
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 əx² (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→∞. -
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