2k views

### Is manual adjustment of AccuracyGoal and PrecisionGoal useless?

This is a problem confusing me for years. AccuracyGoal and PrecisionGoal are two options that I never truly understand and, to ...
2k views

### I failed to solve a set of one-dimension fluid mechanics PDEs with NDSolve

The fluid here has been assumed as single component perfect gas i.e. it obeys the equation $p=ρ R T$, the thermal conductivity is assumed as a constant, so the equation set is: ...
1k views

### How to solve the tsunami model and animate the shallow water wave?

Backslide introduced in 9.0, persisting through 11.3. Recently when I was learning differential equations, I noticed there is a shallow water wave equation to model the tsunami propagation. How to ...
780 views

### Circumvent NDSolve::bdord: error for 1-D Euler Equations

I attempted to use NDSolve for the 1-D isentropic unsteady flow equations with low subsonic inflow velocity and prescribed inflow total enthalpy; along with a non-...
225 views

### Problems with solving PDEs

I am using NDSolve to solve the two equations: ...
380 views

### Solving a system of partial differential and algebraic equations? setting the step-size to get reasonable results

I'm trying to use Mathematica to get some early approximate solutions to a system of algebraic and partial differential equations. It is actually 1D model of an ideal gas in a tube. I'll divide my ...
291 views

### how to fix this PDE numerical solution (NDSolve)

I have the following code: ...
104 views

### Solving 3 nonlinear, transient, coupled PDEs [closed]

I'm trying to solve the fluid equations, continuity equations for mass, momentum, and energy, for a transient shockwave in 1D planar geometry. A piston is traveling at some velocity $u_p$ where $u_P$ \$...