Pdepe solver - how does it work?

2021 3 26
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更新时间：2024 2 6
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I have 2 questions about the theory behind the pdepe solver.
The spatial discretization is based on a piecewise nonlinear Galerkin/Petrov-Galerkin method. What is the order of the interpolating polynomials?
This discretization yields a system of linear algebraic equations. What is the iterative method employed by the pdepe function to solve this system?

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Alessandro Ferreri
Alessandro Ferreri 2021-3-30
I found out that for m = 0, the polynomial is linear.
Moreover, the linear equation resulting from the implicit time integration method (Numerical differentiation formulae) are solved by means of a Lower Upper (LU) decomposition method and backward substitution.
Torsten
Torsten 2024-2-6
Which question ? @Alessandro Ferreri answered them in his comment.

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