Single-term Haar wavelet series technique for time varying linear and non-linear singular systems

Author

Sekar, S. ; Prabakaran, K. ; Paramanathen, E.

Author_Institution

Dept. of Math., Gov. Arts Coll., Salem, India

fYear

2012

fDate

21-23 March 2012

Firstpage

364

Lastpage

369

Abstract

In this paper, a new technique known as Single Term Haar Wavelet Series (STHWS) has been presented to determine the solutions for the time varying linear and non-linear singular systems. The exact solutions and the solutions by the classical fourth order Runge-Kutta (RK) method for the problems of time varying linear and non-linear singular systems are compared with the simulated results by STHWS method. This new approach provides a better accuracy in finding discrete solutions of time varying systems for any length of time and it can be easily implemented in a digital computer which is an added advantage of this method.

Keywords

Haar transforms; Runge-Kutta methods; nonlinear systems; time-varying systems; wavelet transforms; STHWS method; digital computer; discrete solutions; fourth order Runge-Kutta method; single-term Haar wavelet series technique; time varying nonlinear singular systems; Algorithm design and analysis; Differential equations; Equations; Mathematical model; Time varying systems; Wavelet transforms; Haar matrix; Runge-Kutta method; Time varying linear singular systems; Time varying non-linear singular systems; single term Haar wavelet series;

fLanguage

English

Publisher

ieee

Conference_Titel

Pattern Recognition, Informatics and Medical Engineering (PRIME), 2012 International Conference on

Conference_Location

Salem, Tamilnadu

Print_ISBN

978-1-4673-1037-6

Type

conf

DOI

10.1109/ICPRIME.2012.6208373

Filename

6208373