Thanks Daniel, I will try the latter example. 

Sergio 


Sergio Manzetti 

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From: "Daniel Wheeler" <daniel.wheel...@gmail.com> 
To: "fipy" <fipy@nist.gov> 
Sent: Tuesday, May 23, 2017 4:03:32 PM 
Subject: Re: Complex conjugates in FiPY 

On Tue, May 23, 2017 at 8:05 AM, Sergio Manzetti 
<sergio.manze...@fjordforsk.no> wrote: 
> 
> Dear Daniel. In this example I was trying to find out a solution for the 
> complex differential equation: 
> 
> i dphi/dt + d²phi/dx^2 + |phi^2|phi = 0 
> 
> However, I just learned from the fipy ring that complex conjugates are not 
> possible to include in Fipy. 

Right, FiPy knows nothing about complex numbers. 

> However, if I should calculate the given eqn without the complex conjugate: 
> 
> dphi/dt + d²phi/dx^2 + |phi^2|phi = 0 

That is a strange equation because it induces counter diffusion, which 
probably won't solve. I'm not sure whether the source term does 
something to counter that, but you can try. 

> which example should I follow in the manuscript? 

There isn't an example that matches this equation exactly, but try 

http://www.ctcms.nist.gov/fipy/examples/diffusion/generated/examples.diffusion.mesh1D.html
 

for the TransientTerm and DiffustionTerm and 

http://www.ctcms.nist.gov/fipy/examples/phase/generated/examples.phase.simple.html
 

for the ImplicitSourceTerm. 

> I am not sure what the script does, when one sets a phi value before the 
> given PDE...when I thought that the phi value was found exactly by FipY? 

Setting the value before solving the PDEs provide the initial value if 
it's an initial value problem. Even a non-initial value problem needs 
to be start somewhere for the non-linear numerical iteration. 


-- 
Daniel Wheeler 

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