Numerical Solutions of Regularized Long Wave Equation By Haar Wavelet Method

A numerical treatment based on Haar wavelets for coupled KdV equation

“…After this achievement researchers have been using Haar wavelets to obtain numerical solutions of differential equations because of their simplicity and computational features. Recently, many authors have used Haar wavelet method for solving ordinary and partial differential equations [20][21][22][23][24][25][26][27][28][29][30][31]. Especially high order pdes like KdV and fractional coupled KdV equations are considered in [32,33].…”

Application of Higher Order Haar Wavelet Method for Solving Nonlinear Evolution Equations

“…[42] as an improvement of the Haar wavelet method (HWM) originally introduced by Chen and Hsiao in [15]. The HWM has been proposed for solving differential equations [15,27,51] as well as a wide class of integro-differential and integral equations [5,7,8,14,35,37,63]. According to HWM, as proposed in [15,27], the highest order derivative included in the differential equation is expanded into the series of Haar functions.…”

A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves

“…The RLW equation of integer or fractional orders has been examined by putting up various techniques [13][14][15][16][17] with their own weakness and shortcomings such as huge computational work and takes much high time. In 1992, Liao put up an analytic technique known as homotopy analysis method (HAM) [18][19][20] for handling nonlinear problems.…”