Computational of eigenvalues and eigenfunctions of nonlinear differential equation by Sinc-Self-consistent method

We combine sinc method and self-consistent method to obtain eigenvalues andeigenfunctions of a class of nonlinear differential equations. Some propertiesof sinc method and self-consistent method are given. Numerical examples aregiven to demonstrate the validity of the present method. We compare thes...

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Bibliographic Details
Published in:Mathematics and computational sciences 2024-09, Vol.5 (3), p.38-48
Main Authors: Seyed Mohammad Ali Aleomraninejad, Mehdi Solaimani
Format: Article
Language:English
Subjects:
eigenvalues
non-linear eigenvalue differential equation
self consistent field iteration
sinc method
Online Access:Get full text
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Summary:We combine sinc method and self-consistent method to obtain eigenvalues andeigenfunctions of a class of nonlinear differential equations. Some propertiesof sinc method and self-consistent method are given. Numerical examples aregiven to demonstrate the validity of the present method. We compare theseresults with the existing results and show that the sinc-self-consistent methodis suitable method to obtain eigenvalue and eigenfunction of equations on aninfinite domain and produces the smallest eigenvalue with the most accuracy.
ISSN:2717-2708
DOI:10.30511/mcs.2024.2025574.1161