Work

Anharmonic oscillator via Legendre and Chebyshev pseudo-spectral methods

Year: 2023

Type: article

Abstract: In this study, we introduce the pseudospectral methods based on Chebyshev and Legendre polynomials for the Schr¨odinger equation of anharmonic oscillator. The method transforms the problem into an unsymmetric matrix eigenvalue problem which can be symmetrized by using a suitable similarity transformation. Computation of the zeros of the relevant orthogonal polynomials is also converted into a symmetric matrix eigenvalue problem. The method is applied to the Scr¨odinger equation of an anharmonic oscillator of various types and the numerical results and discussed.

Source: Advances in the Theory of Nonlinear Analysis and its Application

DOI: 10.17762/atnaa.v7.i5.326

Author: ˙ Inci M. Erhan, Saeida M. Wlie

Institution: Adnan Menderes University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4393336620

FWCI:

Cites: 7

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Related to: 10