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Graduate Finite difference method to solve first-order, multivariable
Initial conditions given are T(z,0), Y(z,0), T*(z,0), W(z,0), Yw(z,0), and boundary conditions are T(0,t) and Y(0,t). My formulation is to replace the approximation into the four equations above, and separate the parameters such that they can be represented in the form Ax=b, where x are the...- idraftscience
- Post #3
- Forum: Differential Equations
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Graduate Finite difference method to solve first-order, multivariable
I'm trying to replicate the model presented in this [paper](http://www.sciencedirect.com/science/article/pii/S1359431103000474), which is basically to model heat and mass transfer along a one-dimensional duct. There are four characteristic equations for this problem : Momentum conservation...- idraftscience
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- Difference Finite Finite difference Finite difference method Method Multivariable Partial differential equations
- Replies: 3
- Forum: Differential Equations
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Parabolic pde with additional term
Homework Statement Solve \frac{\partial v}{\partial t} = k\frac{\partial^2 v}{\partial x^2} - v 0\leq x \leq L t > 0 Homework Equations v(x,0) = f(x), v(0,t)=0, \frac{\partial v}{\partial x}(L,t) = -v(L,t) The Attempt at a Solution I've already attempted to solve...- idraftscience
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- Pde Term
- Replies: 2
- Forum: Calculus and Beyond Homework Help