A semi-analytical solution of Hunter–Saxton equation

In this paper, we discretize time derivative terms by a forward difference scheme and linearize the nonlinear terms using a quasilinearization technique to reduce the original equation into a system of ordinary differential equations. Then the Haar wavelet quasilinearization approach is applied to compute the numerical solutions of the Hunter–Saxton equation. Computer simulations show that our obtained results are in a good agreement with the exact solution.