Numerical Investigation Based on Laguerre Wavelet for Solving the Hunter Saxton Equation

Abstract

In this paper, we develop a collocation method for solving nonlinear Hunter Saxton equation using a Laguerre wavelet basis method. Properties of wavelets are presented and then used to convert the problem into a system of nonlinear algebraic equations that can be solved. Convergence analysis for the method is presented. Some test problems are introduced and the results are compared with other relevant studies from the literature. It is shown that the presented method is accurate and efficient compared to other methods