## Help_solvong_poisson_equation

Hallo,

does there exist analytical solution or approximation to poisson equation pde in 2 dimensions - cartesian coordinate system

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 is 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 somebody knows where to look for this solution!

Thanks,
Jan Golobow