Constructing two powerful methods to solve the Thomas–Fermi equation

We implement the reproducing kernel method and SL (2,  R )-shooting method to solve the Thomas–Fermi equation. Powerful techniques are demonstrated by reproducing kernel functions. The reliable numerical approximations to the solution of this equation are calculated by two novel approaches whose res...

Full description

Saved in:
Bibliographic Details
Published inNonlinear dynamics Vol. 87; no. 2; pp. 1435 - 1444
Main Authors Akgül, A., Hashemi, M. S., Inc, M., Raheem, S. A.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 2017
Springer Nature B.V
Subjects
Approximation
Automotive Engineering
Classical Mechanics
Construction methods
Control
Dynamical Systems
Engineering
Kernel functions
Kernels
Mathematical analysis
Mathematical models
Mechanical Engineering
Nonlinear dynamics
Original Paper
Reproduction
Vibration
Thomas–Fermi equation
shooting method
Reproducing kernel method
2
Group preserving scheme
Online AccessGet full text

Cover

More Information
Summary:We implement the reproducing kernel method and SL (2,  R )-shooting method to solve the Thomas–Fermi equation. Powerful techniques are demonstrated by reproducing kernel functions. The reliable numerical approximations to the solution of this equation are calculated by two novel approaches whose results are in good agreement. Numerical results are shown in order to prove the certainty of the techniques.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-3125-2