Article ID Journal Published Year Pages File Type
4614939 Journal of Mathematical Analysis and Applications 2016 11 Pages PDF
Abstract

It is proved that the eigenvalues of the Gegenbauer Collocation method for the second derivative operator with Dirichlet boundary conditions are real, negative and distinct for a range of the Gegenbauer parameter. This range includes the Chebyshev Collocation approximation. The result is also extended to Neumann and Robin boundary conditions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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