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Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions
- Source :
-
Computer Physics Communications . May2010, Vol. 181 Issue 5, p957-966. 10p. - Publication Year :
- 2010
-
Abstract
- Abstract: 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00104655
- Volume :
- 181
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Computer Physics Communications
- Publication Type :
- Periodical
- Accession number :
- 48615238
- Full Text :
- https://doi.org/10.1016/j.cpc.2010.01.008