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Jacobi spectral Galerkin method for elliptic Neumann problems. (English) Zbl 1169.65111
This is the third paper devoted by the first two authors to the spectral Jacobi-Galerkin method. This time they apply the method to the Neumann problems for 1D and 2D elliptic equations. Their main point is to construct test and trial basis functions which produce sparse discretization matrices. Four numerical examples are carried out in order to underline the efficiency of the method.
65N35Spectral, collocation and related methods (BVP of PDE)
65N22Solution of discretized equations (BVP of PDE)
65L10Boundary value problems for ODE (numerical methods)
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