Recent content by Breuno

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    Solving an ODE using Galerkin's method

    Homework Statement Given the ODE \frac{df}{dt}=f and the boundary condition f(0)=1 One approximate solution is f_{a}=1+\sum ^{3}_{k=1} a_{k}t^k where 0\leq t\leq1 Using the Galerkin's method find the coeficents a_{k} Homework Equations The Attempt at a Solution I don't think...
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    Diffusion eq. with periodic BC using method of images

    Yea sorry I forgot to write that I sum over n. Tg is just the gaussian solution to the diffusion eq. And \int^{-\infty}_{\infty} Tg(x,t)dx=1
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    Diffusion eq. with periodic BC using method of images

    Thanks for the welcome =) Ok so the function repeats itself when x increases by L. How do I use this when "mirroring"? Since the delta-function has alternating signs (regarding the initial condition) for every other mirror image. Does this goes for the BC as well? A lot of confusion...
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    Diffusion eq. with periodic BC using method of images

    Homework Statement Considering the periodic boundary conditions (given below) I am supposed to find the solution T(x,t) with the initial condition T(x,0)=\delta(x) Also I am limited to use method of images so I can't use separation of variables unfortunately. Homework Equations The boundary...
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