# Tag Info

### Using NDSolve on the Painlevé equations

By the method in this article A method for calculating the PainlevĂ© transcendents, poles of second-order ODE can be passed by auxiliary functions u[x] and ...
• 998

### Singularity or stiff system suspected in ODE that shouldn't have a singularity in the solution range

This ODE also can be solved symbolically. ...
• 61.6k
Accepted

### Singularity or stiff system suspected in ODE that shouldn't have a singularity in the solution range

If we can solve $$\int_{v_0}^{v_s} {dv \over v} = \int_{p_0}^\infty {dp \over A + Bp + Cp^2 +Dp^3} \,,$$ we will obtain the value $v_s$ at which the IVP  {dp \over dv} = {A + Bp + Cp^2 +Dp^3 \over ...
• 237k

### Singularity or stiff system suspected in ODE that shouldn't have a singularity in the solution range

If you integrate your equation backwards from 1000 you see that it will diverge near 815: ...
• 52.7k
Accepted

### Why does singular solution not satisfy the ode?

This extended comment may help explain the situation. The right side of ode has a branch cut on the negative real axis of y due ...
• 61.6k

### ODE with singularity

To solve the system of differential equations using NDSolve in the Wolfram Language, you can follow these steps: ...
• 4,088

### How to remove an apparent singularity in NDSolve?

Here's summary in code of the better suggestions I made or improvements/alternatives to them: ...
• 237k

### How to numerically integrate past singularities?

Introduction Here is a different approach than given in Extending NDSolve beyond a singularity or Numerical continuation methods for bypassing a singularity when integrating an ODE. It could be an ...
• 237k
1 vote

### How to numerically integrate past singularities?

Try Method -> "LinearlyImplicitEuler" ...
• 54.2k
1 vote

### FourierCosCoefficient for function with singularity

I think FourierCosCoefficient is simply ignoring pole of the function at x=0. We can see it by computing indefinite integral and ...
• 18.9k

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