Thread Subject:

Solving a 2D ODE with boundary conditions using hermite-spline collocation

Right. So. I have a numerical problem and the references say to use hermite-spline collocation to solve them. MATLAB has, in the help menu, a file using this method to solve the problem on a 1D grid. Has anyone seen a method for generalizing this to a 2D grid? I think the problem generalizes to finding the coefficients for a bivariate scalar spline given the value of the function at interior points and the conditions on the boundary(either constant value, constant derivative, etc.). How to do this is beyond me. I can follow what they do in the 1D case, but cannot get it to work in the 2D case. Thanks for any and all help you provide!

On 25 Apr., 23:19, "Paul Mark" <paulm...@eden.rutgers.edu> wrote:
> Right. So. I have a numerical problem and the references say to use hermite-spline collocation to solve them. MATLAB has, in the help menu, a file using this method to solve the problem on a 1D grid. Has anyone seen a method for generalizing this to a 2D grid? I think the problem generalizes to finding the coefficients for a bivariate scalar spline given the value of the function at interior points and the conditions on the boundary(either constant value, constant derivative, etc.). How to do this is beyond me. I can follow what they do in the 1D case, but cannot get it to work in the 2D case. Thanks for any and all help you provide!

Check out the PDE toolbox if it fits your needs.

Best wishes
Torsten.