Haar wavelets approach of traveling wave equation- A plausible solution of lightning stroke model

Abstract

This paper describes a traveling wave model for describing the lightning stroke by the Haar wavelet method (HWM) is proposed. Numerical example is included and illustrated for applicability and validity of the proposed method. The fundamental idea of Haar wavelet method is to convert the differential equations into a group of algebraic equations that involves a finite number of variables. The power of the manageable method is confirmed. The results show that the proposed way is quite reasonable when compared to exact solution. Moreover the use of Haar wavelets is found to be accurate, simple, fast, flexible, convenient, small computation costs and computationally attractive.