Carlos Córdoba a écrit :
> Hi,
>
> I know this is not a general mathematical forum, but I hope you can help me.
> I have this PDE:
>
> \frac{dB}{dt} = F(x,y,z)B(x,y,z) - G(x,y,z)\nabla B(x,y,z)
>
> and I don't know how to solve it numerically. What would be the easiest
> method to do it? It can be in python, but preferably in C++.
>
> Thanks for your help,
> Carlos
>
Hi,1) You will not find in Sage what you are looking for; this is not the place and as a specialist of numerics for PDEs, I think it will remain like this. 2) You problem is not so easy: it is a first order equation of hyperbolic type and this is not easy to solve. For example the problem du/dt+du/dx=0, for which we have an exact solution is not easy to solve numerically (at least one must process with care to avoid instabilities). Your problem is a bit more complicated. Solving the heat equation for example is much more easy. 3) for numerics on these first order problems, have a look at clawpack: it solves much more complicated problems (first order non linear systems- like gas dynamics for example), but it will solve easily your problem. You will have to know some bases on the numerical analysis of hyperbolic pde. http://www.amath.washington.edu/~claw/ t.d. -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
<<attachment: tdumont.vcf>>
