An efficient method for solving Riccati equation using homotopy perturbation method

被引：10

作者：

Vahidi, A. R. ^{[1
]}

Azimzadeh, Z. ^{[2
]}

Didgar, M. ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Shahr E Rey Branch, Tehran 18155144, Iran

[2] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 1477893855, Iran

来源：

INDIAN JOURNAL OF PHYSICS | 2013年 / 87卷 / 05期

关键词：

Riccati equation; Homotopy perturbation method; Differential equations; VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATION;

D O I：

10.1007/s12648-012-0234-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we propose a new technique to conveniently solve the Riccati equation with both constant and variable coefficients. By combining the transformation of variables with the homotopy perturbation method, this technique possesses a fast convergence rate with high accuracy. We investigate the practicality and efficiency of the technique for several specific examples of the Riccati equation and demonstrate its accuracy by comparing the approximate solution with cases where the exact solution is known.

引用

页码：447 / 454

页数：8

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