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 March 27th, 2010, 08:23 AM #1 Newbie   Joined: Mar 2010 Posts: 1 Thanks: 0 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
 April 2nd, 2010, 08:51 AM #2 Math Team   Joined: Apr 2010 Posts: 2,778 Thanks: 361 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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