Approximate solution for quadratic Riccati differential equation

被引：19

作者：

Ghomanjani, Fateme ^{[1
,2
]}

Khorram, Esmaile ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, 424 Hafez Ave, Tehran 15914, Iran

[2] Kashmar Higher Educ Inst, Kashmar, Iran

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2017年 / 11卷 / 02期

关键词：

Riccati differential equation; Approximate solutions; Bezier curve; Riccati differential-difference equation; ADOMIANS DECOMPOSITION METHOD; HOMOTOPY PERTURBATION METHOD; LEAST-SQUARES METHODS; BEZIER CONTROL POINTS; INTERPOLATION;

D O I：

10.1016/j.jtusci.2015.04.001

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The quadratic Riccati differential equations are a class of nonlinear differential equations of much importance, and play a significant role in many fields of applied science. This paper introduces an efficient method for solving the quadratic Riccati differential equation and the Riccati differential-difference equation. In this technique, the Bezier curves method is considered as an algorithm to find the approximate solution of the nonlinear Riccati equation. Some examples in different cases are given to demonstrate simplicity and efficiency of the proposed method. (C) 2015 The Authors. Production and hosting by Elsevier B.V. on behalf of Taibah University.

引用

页码：246 / 250

页数：5

共 17 条

[1] Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method [J].