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Tagged with crank-nicolson matlab
3
questions
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Crank-Nicolson algorithm for coupled PDEs
Assumed I have the following two coupled equations
$$\begin{split}
\partial_tA&=a_0AB\\
\partial_tB&=b_0AB
\end{split}
$$
but I am not sure how to calculate them. One approach is a crank-...
- 563
1
vote
0
answers
320
views
Why can I not solve the negative advection equation (backwards in time)?
Suppose we have the negative, inhomogeneous advection equation:
$$\left(\frac{\partial}{\partial x}-\frac{1}{c}\frac{\partial}{\partial t}\right)v(t,x)=u(t,x)\qquad(t\in\mathbb{R}_{+},x\in\mathbb{R})$$...
- 133
3
votes
1
answer
2k
views
How to solve the advection equation in 2 dimension using the Crank-Nicolson method?
I've an equation like this to solve with the crank-nicolson method
$$U_t -\frac{y}{2} U_x + \frac{x}{2}U_y = 0,$$
where $x$ and $y$ are: [-2,5:2,5] and the time $T$ ...
- 31