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Solving the 1D Diffusion Equation: Boundary Conditions & Eigenvalues
Ok, so I decided to solve via a separable solution. From D\frac {\partial^2 \phi}{\partial x^2} = \frac {\partial \phi}{\partial t}, assume that \phi(x,t) = X(x)T(t). I can write D\frac{X''(x)}{X(x)}=\frac{T'(t)}{T(t)}=-\lambda . A solution for X(x) is X(x) = A\cos(\sqrt{\frac{\lambda}{D}}x) +...- osdes
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- Forum: Advanced Physics Homework Help
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Solving the 1D Diffusion Equation: Boundary Conditions & Eigenvalues
Technically speaking, this is not a homework problem; it is something extra that I want to explore using data from my biomedical engineering class. We recently finished a lab involving testing the design of a micromixer; now comes the analysis of the data. No where in the lab are we instructed...- osdes
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- Diffusion Diffusion equation
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- Forum: Advanced Physics Homework Help