Numerical solution of evolution equations by the Haar wavelet method

摘要

An efficient numerical method for solution of nonlinear evolution equations based on the Haar wavelets approach is proposed. The method is tested in the case of Burgers and sine-Gordon equations. Numerical results, obtained by computer simulation, are compared with other available solutions. These calculations demonstrate that the accuracy of the Haar wavelet solutions is quite high even in the case of a small number of grid points.