Question: solving linearized poisson-boltzmann eq

Dear all,

I would like to solve the following equation (linearized Poisson-Boltzmann in 2D) in Maple:

diff(u(x,y),x,x)+diff(u(x,y),y,y)-k^2*u(x,y)=0;

subject to the boundary condition:

u(x,a*cos(bx))=0 and  u(x,y)|y->infinity=0

(a,b and k are parameters)

I succeed to get the solution with pdsolve, my problem is how to solve the boundary condition problem.

Thanks!





 

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