Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions

被引：59
|
作者：
Lakestani, Mehrdad [2 ]
Dehghan, Mehdi [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 05期
关键词：
Cubic B-spline function; Riccati equation; Chebyshev cardinal function; Collocation method; Operational matrix of derivative; HOMOTOPY PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATION;
D O I：
10.1016/j.cpc.2010.01.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Two numerical techniques are presented for solving the solution of Riccati differential equation. These methods use the cubic B-spline scaling functions and Chebyshev cardinal functions. The methods consist of expanding the required approximate solution as the elements of cubic B-spline scaling function or Chebyshev cardinal functions. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the new techniques. The methods are easy to implement and produce very accurate results. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：957 / 966
页数：10
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