From: george georgiano on
Hi, is there anyway to solve a set of pdes using pdepe (which is built to solve problems in 1d) in 2d. I understand of course, the discretisation is such that it might be difficult to reduce it to a 2d problem. In that case you need a box ratrher than a line to discetise and thereby results might be wron. If pdepe is not the correct command and since I would not like to use the pdetoolbox, do you know any work that attempts to solve the following set of equations (even in one 1d arithmetically and then I will try to extend that in two D) numerically, to understand the methodology

C1*dT1/dt=div(k1(T1,T2)*grad(T1))-A*(T1-T2);
C2*dT2/dt=div(k2(T1,T2)*grad(T2))+A*(T1-T2);
Any help is appreciated

Regards
George
From: Torsten Hennig on
> Hi, is there anyway to solve a set of pdes using
> pdepe (which is built to solve problems in 1d) in 2d.
> I understand of course, the discretisation is such
> that it might be difficult to reduce it to a 2d
> problem. In that case you need a box ratrher than a
> line to discetise and thereby results might be wron.
> If pdepe is not the correct command and since I would
> not like to use the pdetoolbox, do you know any work
> that attempts to solve the following set of equations
> (even in one 1d arithmetically and then I will try to
> extend that in two D) numerically, to understand the
> methodology
>
> C1*dT1/dt=div(k1(T1,T2)*grad(T1))-A*(T1-T2);
> C2*dT2/dt=div(k2(T1,T2)*grad(T2))+A*(T1-T2);
> Any help is appreciated
>
> Regards
> George

http://www.zib.de/Numerik/software/kardos/
http://homepages.cwi.nl/~gollum/LUGR/

Best wishes
Torsten.