Unformatted text preview: the directional migratory velocity of the cells is insignificant) Solve this problem numerically using a finite difference scheme using the initial/ boundary conditions given below (Note: Neumann boundary condition on the right boundary) Initial condition: t = 0 all z > 0 C = 0 Boundary condition: t > 0 z = 0 C = 1 x 10 6 z = 0.2 ∂ C/ ∂ z = 0 Assume the random migration coefficient is μ D = 1 x 10-4 cm 2 /s. Integrate the equation for a period of 100 seconds. ! C ! t = μ D ! 2 C ! z 2...
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- Spring '11
- Partial differential equation, one-dimensional heated rod