Title of article
On the numerical solution of the eigenvalue problem in fractional quantum mechanics
Author/Authors
Guerrero، نويسنده , , Alejandro and Moreles، نويسنده , , Miguel Angel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2015
Pages
10
From page
604
To page
613
Abstract
In this work we propose a Control Volume Function Approximation (CVFA) method to solve equations involving the fractional Laplacian. The function approximation part is carried out with Radial Basis Function (RBF) interpolation. The physical application of interest is the eigenvalue problem for the time independent fractional Schrِdinger equation. Fractional derivatives are considered in the Riesz potentials sense.
Keywords
Control volume method , radial basis functions , Fractional Laplacian , Fractional quantum mechanics
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2015
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1539028
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