A study on periodic and oscillatory problems using single-term haar wavelet series

In this paper, the Single-Term Haar Wavelet series (STHW) is used to study the periodic and oscillatory problems. Results obtained using STHW and classical fourth order Runge-Kutta (RK) methods are compared with the exact solutions of the periodic and oscillatory problems. The results obtained using STHW are found to be very closer to the exact solutions of these problems. Further, it is found that the STHW is superior when compared to RK method. Error graphs for the obtained results and exact solutions are presented in a graphical form to highlight the efficiency of this method. This STHW can be easily implemented in a digital computer and the solution may be obtained for any length of time.