Title of article :
An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem
Author/Authors :
Mirzaei ، Hanif Faculty of Basic Sciences - Sahand University of Technology , Emami ، Mahmood Faculty of Basic Sciences - Sahand University of Technology , Ghanbari ، Kazem Faculty of Basic Sciences - Sahand University of Technology , Shahriari ، Mohammad Department of Mathematics - Faculty of Science - University of Maragheh
Abstract :
In this paper, Computing the eigenvalues of the Conformable Sturm-Liouville Problem (CSLP) of order 2 , 1 2 1, and dirichlet boundary conditions is considered. For this aim, CSLP is discretized to obtain a matrix eigenvalue problem (MEP) using nite element method with fractional shape functions. Then by a method based on the asymptotic form of the eigenvalues, we correct the eigenvalues of MEP to obtain e cient approximations for the eigenvalues of CSLP. Finally, some numerical examples to show the e ciency of the proposed method are given. Numerical results show that for the nth eigenvalue, the correction technique reduces the error order from O(n4h2) to O(n2h2).
Keywords :
Sturm , Liouville problem , Conformable derivative , Finite elements method , Correction idea
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
