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5 votes

Using NDSolve on the Painlevé equations

By the method in this article A method for calculating the Painlevé transcendents, poles of second-order ODE can be passed by auxiliary functions u[x] and ...
Jie Zhu's user avatar
  • 998
4 votes

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

This ODE also can be solved symbolically. ...
bbgodfrey's user avatar
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4 votes
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 ...
Michael E2's user avatar
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3 votes

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: ...
Daniel Huber's user avatar
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2 votes
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 ...
bbgodfrey's user avatar
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2 votes

ODE with singularity

To solve the system of differential equations using NDSolve in the Wolfram Language, you can follow these steps: ...
Steffen Jaeschke's user avatar
2 votes

How to remove an apparent singularity in NDSolve?

Here's summary in code of the better suggestions I made or improvements/alternatives to them: ...
Michael E2's user avatar
  • 237k
2 votes

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 ...
Michael E2's user avatar
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1 vote

How to numerically integrate past singularities?

Try Method -> "LinearlyImplicitEuler" ...
Ulrich Neumann's user avatar
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 ...
azerbajdzan's user avatar
  • 18.9k

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