Fractional order of rational Jacobi functions for solving the non-linear singular Thomas-Fermi equation

被引：30

作者：

Parand, Kourosh ^{[1
,2
]}

Mazaheri, Pooria ^{[1
]}

Yousefi, Hossein ^{[1
]}

Delkhosh, Mehdi ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Dept Comp Sci, GC, Tehran, Iran

[2] Shahid Beheshti Univ, Dept Cognit Modelling, GC, Inst Cognit & Brain Sci, Tehran, Iran

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 02期

关键词：

QUASI-LINEARIZATION APPROACH; HOMOTOPY ANALYSIS METHOD; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; COLLOCATION METHOD; SERIES SOLUTION; PSEUDOSPECTRAL APPROXIMATION; DECOMPOSITION METHOD; OPERATIONAL MATRIX;

D O I：

10.1140/epjp/i2017-11351-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a new method based on Fractional order of Rational Jacobi (FRJ) functions is proposed that utilizes quasilinearization method to solve non-linear singular Thomas-Fermi equation on unbounded interval [0, infinity). The equation is solved without domain truncation and variable changing. First, the quasilinearization method is used to convert the equation to the sequence of linear ordinary differential equations. Then, by using the FRJs collocation method the equations are solved. For the evaluation, comparison with some numerical solutions shows that the proposed solution is highly accurate.

引用

页数：13

共 106 条

[1] Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations [J].