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