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March 27th, 2010, 08:23 AM   #1
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poisson pde analytical solution

Hallo,

does there exist analytical solution or approximation to poisson equation pde in 2 dimensions

D[u,x,x]+D[u,y,y]=ax^4+b*x^3+c*x^2+d*x+e

ax^4+b*x^3+c*x^2+d*x+e polinom

where BC are
u[x,1]=2
u[x,0]=0
u[2,y]=0
u[0,y]=0
where a,b,c,d,e are constants (real number)
Or if sbd knows where to look for this solution!

Thanks,
JG
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April 2nd, 2010, 08:51 AM   #2
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Re: poisson pde analytical solution

Hello jangolobow,

I donīt know what you mean with the notation D[u,x,x]+D[u,y,y], but if you donīt specify the values of x, there are infinite solutions for a, b, c, d, e. For a polynom of grade 4, 5 points must be specified to find only 1 solution. You wrote Hallo, are you dutch or belgian?

Hoempa
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