- Methods Partial Differential Equations Problem Please Help 1 (58.08 KiB) Viewed 8 times
Methods partial differential equations problem. Please help
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Methods partial differential equations problem. Please help
Methods partial differential equations problem. Please help
1. (a) Solve using Fourier transform in x and Laplace transform in t: д 22 PDE: 24- Du=8(x-5)8(t-1), -0<x<0,1>0,---< &<0,7>0 дt dx² BC: u(x,t) → as x → to, t>O IC: u(x,0)=0, -<x< . (b) Same problem as in (a), except that you do not use Laplace transform in t. You need to figure out the matching condition for your ODE across t=t.
1. (a) Solve using Fourier transform in x and Laplace transform in t: д 22 PDE: 24- Du=8(x-5)8(t-1), -0<x<0,1>0,---< &<0,7>0 дt dx² BC: u(x,t) → as x → to, t>O IC: u(x,0)=0, -<x< . (b) Same problem as in (a), except that you do not use Laplace transform in t. You need to figure out the matching condition for your ODE across t=t.
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