# Tag Info

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• 30.6k
Accepted

### Solving Burger's equation with NDSolve at large time

Similar problems have been discussed in this site for several times: Solution of Burgers equation with some initial data 1D Euler equations (fluid dynamics) with NDSolve Circumvent NDSolve::bdord: ...
• 51.6k

### Solving Burger's equation with NDSolve at large time

The answer of Nasser is only in parts correct. The analytic/implicit solution $$u(x,t) = f(\xi) = f(x-ut), \quad \xi = x - f(\xi) t$$ is only the physical solution in the interval $0\le t \le t_b$ ...
• 2,240
Accepted

### NeumannValue is producing incorrect results

This is a bit funny. It's not NeumannValue that's causing trouble. It's all because you've specifying the DirichletCondition in ...
• 51.6k

### Solving Burger's equation with NDSolve at large time

Following the example set by xzczd's answer: an alternative to an external library would be to implement a simple shock capturing finite volume scheme like the one put forward in New High-Resolution ...
• 2,240
Accepted

### Reproducing figure from paper on hydrodynamics

We can't reproduce picture from the paper cited since they used Fourie integral on $-\infty \le x \le \infty$. With FEM we can reproduce part of picture be crossing side vortexes as follows ...
• 33.8k

### Coupled PDE using NDSolve

To solve this problem we can use FEM as follows ...
• 33.8k
Accepted

### Neumann boundary conditions are not satisfied

Not sure how to explain the non-convergence of phisol'[0]. (Though phisol'[0] == -0.0302716 is close to zero, it won't get ...
• 51.6k

• 108k

### Using Neumann boundary conditions for the wave equation

With NeumannValue the absorbing boundary conditions might be formulated for x==2and x==-2. ...
• 36.4k

### NDEigensystem with FEM: parasitic solutions

The symmetric model considered in the post is numerically unstable. The numerical scheme is stabilized by, physically speaking, detuning the dispersion of two electron bands: \$\pm M \pm B q^2 \to \pm ...

### Using Neumann boundary conditions for the wave equation

As mentioned in the comment above, the problem is related with (and essentially equivalent to, in my view) this one, but let me elaborate with an answer anyway. The explanation for the usage of ...
• 51.6k
Accepted

### Speeding up Boussinesq equations solving?

We use scaling as in our model on this page.See also Vahl Davis, G.de (1983) : Natural convection of air in a square cavity : A bench mark numerical solution. Int. J. Numer. Methods Fluids 3, 249-264. ...
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### Convert boundary condition involving derivative to NeumannValue programmatically

The following my (incomplete) attempt. ...
• 51.6k