Kourosh Parand, Amin Ghaderi, Hossein Yousefi, Mehdi Delkhosh
Abstract:
In this article, we introduce a fractional order of rational Bessel functions
collocation method (FRBC) for solving the Thomas-Fermi equation.
The problem is defined in the semi-infinite domain and has a singularity at
x = 0 and its boundary condition occurs at infinity. We solve the problem
on the semi-infinite domain without any domain truncation or transformation
of the domain of the problem to a finite domain. This approach at first,
obtains a sequence of linear differential equations by using the
quasilinearization method (QLM), then at each iteration the equation is
solves by FRBC method. To illustrate the reliability of this work,
we compare the numerical results of the present method with some well-known
results, to show that the new method is accurate, efficient and applicable.
Submitted June 16, 2016. Published December 27, 2016.
Math Subject Classifications: 34B16, 34B40, 74S25.
Key Words: Fractional order of rational Bessel functions; Collocation method;
Thomas-Fermi equation; Quasilinearization method;
Semi-infinite domain; Nonlinear ODE.
Show me the PDF file (318 KB), TEX file for this article.
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Kourosh Parand Department of Computer Sciences Shahid Beheshti University, G.C. Tehran, Iran email: k_parand@sbu.ac.ir |
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Amin Ghaderi Department of Computer Sciences Shahid Beheshti University, G.C. Tehran, Iran email: amin.g.ghaderi@gmail.com |
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Hossein Yousefi Department of Computer Sciences Shahid Beheshti University, G.C. Tehran, Iran email: hyousefi412@gmail.com |
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Mehdi Delkhosh Department of Computer Sciences Shahid Beheshti University, G.C. Tehran, Iran email: mehdidelkhosh@yahoo.com |
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