does there exist analytical solution or approximation to poisson equation pde in 2 dimensions
ax^4+b*x^3+c*x^2+d*x+e is polinom
where BC are
where a,b,c,d,e are constants (real number)
Or if somebody knows where to look for this solution!
You can solve this equation (at least formally) in an analytical sense using the projection method, which is a generalization of the eigenfunction expansion method. You should be able to find this approach in any reasonably good book on PDEs.
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