NUMERICAL SOLUTION OF SOME NON-LINEAR EIGENVALUE DIFFERENTIAL EQUATIONS BY FINITE DIFFERENCE-SELF CONSISTENT FIELD METHOD

Document Type : Original Article

Authors
Seyyed Mohamad Ali Aleomraninejad 1
Mehdi Solaimani 2
1 Department of Mathematics, Faculty of Science, Qom University of Technology, Qom, Iran
2 Department of Physics, Faculty of Science, Qom University of Technology, Qom, Iran
10.29252/maco.1.1.7
Abstract
The finite difference-self consistent field iteration is presented to solve some nonlinear 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

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Mathematical Analysis and Convex Optimization
Volume 1, Issue 1
June 2020
Pages 57-64