New technique for solving Lane-Emden equation with Vieta-Fibonacci polynomials

Author

Aziz, Sima Hasan

Source

al-Qadisiyah Journal for Computer Science and Mathematics

Issue

Vol. 13, Issue 2 (30 Jun. 2021), pp.22-29, 8 p.

Publisher

University of al-Qadisiyah College of computer Science and Information Technology

Publication Date

2021-06-30

Country of Publication

Iraq

No. of Pages

8

Main Subjects

Information Technology and Computer Science

Abstract EN

In the present work, new efficient iterative algorithm is presented for solving Lane-Emden equation with initial conditions.

The solution is considered as a linear combination of Vieta-Fibonacci polynomials with unknown coefficients.

First, the Vieta-Fibonacci polynomials are presented with some new important properties.

A new exact formula for finding operation matrix of derivative for the Vieta-Fibonacci polynomials is constructed.

Using such new properties the original Lane-Emden equation is transformed to the solution of algebraic equation with small-unknown coefficients.

The obtained solution is in the form of a power series with easily computable coefficients.

Comparison with some known exact and approximate solutions shows that the proposed solution is highly accurate.

American Psychological Association (APA)

Aziz, Sima Hasan. 2021. New technique for solving Lane-Emden equation with Vieta-Fibonacci polynomials. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 13, no. 2, pp.22-29.
https://search.emarefa.net/detail/BIM-1266531

Modern Language Association (MLA)

Aziz, Sima Hasan. New technique for solving Lane-Emden equation with Vieta-Fibonacci polynomials. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 13, no. 2 (2021), pp.22-29.
https://search.emarefa.net/detail/BIM-1266531

American Medical Association (AMA)

Aziz, Sima Hasan. New technique for solving Lane-Emden equation with Vieta-Fibonacci polynomials. al-Qadisiyah Journal for Computer Science and Mathematics. 2021. Vol. 13, no. 2, pp.22-29.
https://search.emarefa.net/detail/BIM-1266531

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 29

Record ID

BIM-1266531