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Thread: diffusion equation with initial condition

  1. November 16th 2009, 08:36 PM #1
    wrathofkon
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    diffusion equation with initial condition

    du/dt = k*d^2u/dx^2 with initial condition u(x,0) = x^5

    homework problem that hasnt been covered in class yet.. any help please?
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  2. January 19th 2010, 10:22 AM #2
    Rebesques
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    <br /> u(x,t)=\frac{1}{\sqrt{4k\pi t}}\int_{\mathbb{R}}\exp\left(\frac{-(x-y)^2}{4kt}\right)y^5 dy.

    Enjoy
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