THE NEW ADM-PADE TECHNIQUE FOR THE GENERALIZED EMDEN-FOWLER EQUATIONS

被引：5

作者：

Chu, Hongmei ^{[1
]}

Liu, Yinping ^{[1
]}

机构：

[1] E China Normal Univ, Dept Comp Sci, Shanghai 200241, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2010年 / 24卷 / 12期

关键词：

Adomian decomposition method; Adomian polynomials; Pade approximants; Emden-Fowler equation; the new ADM-Pade technique; THOMAS-FERMI EQUATION; DECOMPOSITION METHOD; DIFFERENTIAL-EQUATIONS; ADOMIAN POLYNOMIALS; APPROXIMANTS;

D O I：

10.1142/S0217984910023268

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, the Emden-Fowler equations are investigated by employing the Adomian decomposition method (ADM) and the Pade approximant. By using the new type of Adomian polynomials proposed by Randolph C.Rach in 2008, our obtained solution series converges much faster than the regular ADM solution of the same order. Meanwhile, we note that the solutions obtained by using the new ADM-Pade technique have much higher accuracy and larger convergence domain than those obtained by using the regular ADM together with the Pade technique. Finally, comparison of our new obtained solutions are given with those existing exact ones graphically to illustrate the validity and the promising potential of the new ADM-Pade technique for solving nonlinear problems

引用

页码：1237 / 1254

页数：18

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