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

Author(s):

Seyed Mohammadali Aleomraninejad * , Mehdi Solaimani

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

Non-Linear Eigenvalue Differential Equation , Self Consistent Field Iteration , Sinc Method , Eigenvalues

Language:
English
Published:
Mathematics and Computational Sciences, Volume:5 Issue: 3, Summer 2024
Pages:
38 to 48
https://www.magiran.com/p2773816  
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