Polynomial Least Squares Method for Fractional Lane–Emden Equations

Polynomial Least Squares Method for Fractional Lane–Emden Equations

This paper applies the Polynomial Least Squares Method (PLSM) to the case of fractional Lane-Emden differential equations. PLSM offers an analytical approximate polynomial solution in a straightforward way. A comparison with previously obtained results proves how accurate the method is.

Bibliographic Details
Main Authors: Bogdan Căruntu, Constantin Bota, Marioara Lăpădat, Mădălina Sofia Paşca
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Symmetry
Subjects:
Lane-Emden equation
fractional differential equation
approximate analytical solutions
polynomial least squares method
Online Access:https://www.mdpi.com/2073-8994/11/4/479
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spelling doaj-e97bcdbf83474e3692b52a534f2ef2a32020-11-25T01:56:09ZengMDPI AGSymmetry2073-89942019-04-0111447910.3390/sym11040479sym11040479Polynomial Least Squares Method for Fractional Lane–Emden EquationsBogdan Căruntu0Constantin Bota1Marioara Lăpădat2Mădălina Sofia Paşca3Department of Mathematics, Politehnica University of Timisoara, P-ta Victoriei 2, 300006 Timisoara, RomaniaDepartment of Mathematics, Politehnica University of Timisoara, P-ta Victoriei 2, 300006 Timisoara, RomaniaDepartment of Mathematics, Politehnica University of Timisoara, P-ta Victoriei 2, 300006 Timisoara, RomaniaDepartment of Mathematics, Politehnica University of Timisoara, P-ta Victoriei 2, 300006 Timisoara, RomaniaThis paper applies the Polynomial Least Squares Method (PLSM) to the case of fractional Lane-Emden differential equations. PLSM offers an analytical approximate polynomial solution in a straightforward way. A comparison with previously obtained results proves how accurate the method is.https://www.mdpi.com/2073-8994/11/4/479Lane-Emden equationfractional differential equationapproximate analytical solutionspolynomial least squares method
collection DOAJ
language English
format Article
sources DOAJ
author Bogdan Căruntu
Constantin Bota
Marioara Lăpădat
Mădălina Sofia Paşca
spellingShingle Bogdan Căruntu
Constantin Bota
Marioara Lăpădat
Mădălina Sofia Paşca
Polynomial Least Squares Method for Fractional Lane–Emden Equations
Symmetry
Lane-Emden equation
fractional differential equation
approximate analytical solutions
polynomial least squares method
author_facet Bogdan Căruntu
Constantin Bota
Marioara Lăpădat
Mădălina Sofia Paşca
author_sort Bogdan Căruntu
title Polynomial Least Squares Method for Fractional Lane–Emden Equations
title_short Polynomial Least Squares Method for Fractional Lane–Emden Equations
title_full Polynomial Least Squares Method for Fractional Lane–Emden Equations
title_fullStr Polynomial Least Squares Method for Fractional Lane–Emden Equations
title_full_unstemmed Polynomial Least Squares Method for Fractional Lane–Emden Equations
title_sort polynomial least squares method for fractional lane–emden equations
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-04-01
description This paper applies the Polynomial Least Squares Method (PLSM) to the case of fractional Lane-Emden differential equations. PLSM offers an analytical approximate polynomial solution in a straightforward way. A comparison with previously obtained results proves how accurate the method is.
topic Lane-Emden equation
fractional differential equation
approximate analytical solutions
polynomial least squares method
url https://www.mdpi.com/2073-8994/11/4/479
work_keys_str_mv AT bogdancaruntu polynomialleastsquaresmethodforfractionallaneemdenequations
AT constantinbota polynomialleastsquaresmethodforfractionallaneemdenequations
AT marioaralapadat polynomialleastsquaresmethodforfractionallaneemdenequations
AT madalinasofiapasca polynomialleastsquaresmethodforfractionallaneemdenequations
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