Numerical Solution of Some Non-Linear Eigenvalue Differential Equations by Finite Difference-Self Consistent Field Method

Aleomraninejad, Seyyed Mohamad Ali; Solaimani, Mehdi

doi:10.29252/maco.1.1.7

Volume 1, Issue 1 (6-2020) MACO 2020, 1(1): 57-64 | Back to browse issues page

‎ 10.29252/maco.1.1.7

‎ 20.1001.1.27170624.2020.1.1.7.5

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Aleomraninejad S M A, Solaimani M. Numerical Solution of Some Non-Linear Eigenvalue Differential Equations by Finite Difference-Self Consistent Field Method. MACO 2020; 1 (1) :57-64
URL: http://maco.lu.ac.ir/article-1-40-en.html

Numerical Solution of Some Non-Linear Eigenvalue Differential Equations by Finite Difference-Self Consistent Field Method

Seyyed Mohamad Ali Aleomraninejad ^*

, Mehdi Solaimani

Abstract: (2047 Views)

The finite difference-self consistent field iteration is presented to solve some non-linear eigenvalue differential equations‎.Some properties of the self consistent field iteration and finite difference methods required for our subsequent development are given‎. ‎Numerical examples are included to demonstrate the validity and applicability of the present technique. A comparison is also made with the existing results‎. ‎The method is easy to implement and yields accurate results‎.‎‎

Keywords: Non-linear eigenvalue differential equation, Finite difference method, Self consistent field iteration

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Type of Study: Research Article |
Published: 2020/06/16

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