Re: reaction diffusion equation !
- To: mathgroup at smc.vnet.net
- Subject: [mg87337] Re: [mg87186] reaction diffusion equation !
- From: "Nabeel Butt" <nabeel.butt at gmail.com>
- Date: Tue, 8 Apr 2008 05:35:48 -0400 (EDT)
- References: <200804031017.FAA26076@smc.vnet.net>
Hi Khaled, Your problem is a non-linear variant of the classic fisher equations.There are local fixed-point schemes that can guarantee convergence but global solutions cannot be guaranteed to exist. (i) I have used Mathematica to work out the steady state solution and in that case you just eliminate the derivative in t and it becomes a standard laplace equation. (ii) I highly doubt that this kind of problem would have travelling wave solution because in Poincare phase plane only one critical point exists. In such scenarios you would need to use a "finite-difference" scheme that achieves stable results.Since,Mathematica does have "finite-difference" notebooks available check those out over the web. Best of luck! Nabeel On Thu, Apr 3, 2008 at 6:17 AM, khaled sayed <k_s_mahmoud at hotmail.com> wrote: > Dear sir > Can NDSolve in Mathematica solves the nonlinear reaction diffusion > equation in two dimensions > (Tt-Uxx-Uyy=f(U) with Drichlit B.C.). I ask u kindly to send me the > mathematica program solves the transient heat equation in two dimension or > the heat diffusion equation if u already have it. > Thanks in advance for help and cooperation > regards > khaled sayed > Khaled Sayed Mahmoud Ibrahim Department of MathematicsFaculty of > ScienceHelwan University Helwan, Cairo, EgyptTel.: (+20)18-25-35-272 > Fax: (+20)-2-25588-586k_s_mahmoud at hotmail.com > > -- "We have not succeeded in answering all our problems.The answers we have found only serve to raise a whole set of new questions.In some ways we feel that we are as confused as ever,but we believe we are confused on a higher level and about more important things." Nabeel Butt UWO,London Ontario, Canada
- References:
- reaction diffusion equation !
- From: khaled sayed <k_s_mahmoud@hotmail.com>
- reaction diffusion equation !