An efficient method for quadratic Riccati differential equation

被引：48
|
作者：
Aminikhah, Hossein [1 ]
Hemmatnezhad, Milad [2 ]
机构：
[1] Shahrood Univ Technol, Sch Math Sci, Dept Math, Shahrood, Iran
[2] Univ Guilan, Dept Mech Engn, Rasht, Iran
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 04期
关键词：
NHPM; Nonlinear equations; Riccati equation; Taylor series expansion; HOMOTOPY-PERTURBATION METHOD; THIN-FILM FLOW; 3RD-GRADE FLUID; HEAT-TRANSFER;
D O I：
10.1016/j.cnsns.2009.05.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new form of homotopy perturbation method (NHPM) has been adopted for solving the quadratic Riccati differential equation. In this technique, the solution is considered as a Taylor series expansion converges rapidly to the exact solution of the nonlinear equation. Having found the exact solution of the Riccati equation, the capability and the simplicity of the proposed technique is clarified. (C) 2009 Elsevier B.V. All rights reserved.
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页码：835 / 839
页数：5
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