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The FD-method for solving Sturm-Liouville problems with special singular differential operator
FD-method Sturm-Liouville problems singular differential operator Numerical Analysis
2011/9/23
Abstract: In the paper we describe a superexponentially convergent numerical-analytical method for solving the eigenvalue problem for the some class of singular differential operators with boundary co...
From Sturm-Liouville problems to fractional and anomalous diffusions
From Sturm-Liouville problems anomalous diffusions
2010/11/11
Some fractional and anomalous diffusions are driven by equations involving fractional derivatives in both time and space. Such diffusions are processes with randomly varying times. In representing th...
Approximate eigenvalues of periodic Sturm-Liouville problems using differential quadrature method
Eigenvalues Differential quadrature method Periodic boundary conditions
2010/9/15
Computation of eigenvalues of regular Sturm-Liouville problems with periodic boundary conditions is considered. It is shown through numerical illustrations that both polynomial-based differential quad...
DISCONTINUOUS STURM-LIOUVILLE PROBLEMS CONTAINING EIGENPARAMETER IN THE BOUNDARY CONDITIONS
Sturm--Liouville problem discontinuous boundary-value problem eigenvalue and eigenfunction eigenelement normalized eigenfunctions
2007/12/11
In this paper, discontinuous Sturm--Liouville problems, which contain eigenvalue parameters both in the equation and in one of the boundary conditions, are investigated. By using an operator-theoretic...