       Can I solve PDE in Mathematica?

• To: mathgroup at smc.vnet.net
• Subject: [mg24607] Can I solve PDE in Mathematica?
• From: "Karl" <sir at procd.sogang.ac.kr>
• Date: Fri, 28 Jul 2000 17:23:44 -0400 (EDT)
• Organization: SGU
• Sender: owner-wri-mathgroup at wolfram.com

```Hi, there.

I want to know if I can solve this simutaneous PDE problem using
Mathematica.

I'm going to using numerical solution of differential equations.

Please, let me know. Is this possible?

The problem is like this.
(I wrote "d" instead of "round")

dX/dt = -dX/dZ - 5*10^12*exp(-20000/(1.987*T))*X

dY/dt = -dY/dZ + 5*10^12*exp(-20000/(1.987*T))*X -
5*10^6*exp(-50000/(1.987*T))*Y

dT/dt = -dT/dZ -1.32*10^17*exp(-20000/(1.987*T))*X -
2.37*10^11*exp(-50000/(1.987*T))*Y + 9620(350-T)

where X=X(t,z)  Y=Y(t,z)  Z=Z(t,z)

Initial Condition           X(0,z)=4  Y(0,z)=0  Z(0,z)=320
Boundary Condition        X(t,0)=4  Y(t,0)=0  Z(t,0)=320

I'll thank U for your comment.

```

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