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

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.