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engtokhy
Joined: 10 Dec 2007
Posts: 8
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 26 Aug 2009 4:42 Solving a mathematical problem |
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Please i want to solve the following eqution by maple 4 or any package or how i can solve it
δΦ²/δx²+δΦ²/δy²+Φ/τ-Φ×(S-G)=0
Where τ, S, and G are constants
at the boundary condition
δΦ/δx =0 at x=Lx
δΦ/δy =0 at y=Ly
Lx and Ly are the lengths which the electron will move inside the quantum well
please try to help me as possible {the domain of the problem is x-y}
Many thanks
Last edited by engtokhy on 26 Aug 2009 5:19; edited 1 time in total |
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timof
Joined: 21 Feb 2008
Posts: 86
Helped: 6
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26 Aug 2009 4:56 Re: Solving a mathematical problem |
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Is this a strict requirement that it needs to be solved by a "package"? Can we solve it by hand? (just joking  )
The problem as you specified it is not well defined. Since this is a 2D problem, you need to specify the boundary condition at the boundary of your 2D domain. What is the domain? (i.e. x-y region where you need to solve your equation).
What's L and K?
Can you group "Φ/τ-Φ×(S-G)" into "a*Φ", where a=1/τ-(S-G) ?
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omid_azmoon
Joined: 28 Sep 2003
Posts: 24
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28 Sep 2009 10:10 Solving a mathematical problem |
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I have an idea but i dont know it's usefull for you:
Φ=XY;
Φ/τ-Φ×(S-G)=aΦ;
then: YX"+XY'=aXY;
X"/X+Y"/Y=a;
X"/X=m1;Y"/Y=m2;that m1+m2=a;
you can discuss about m1,m2,and boundary condition.
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