Application of Daubechies wavelets for solving Kuramoto-Sivashinsky‎ type equations

Abstract

We show how Daubechies wavelets are used to solve Kuramoto-Sivashinsky type equations with periodic boundary condition‎. <br />‎Wavelet bases are used for numerical solution of the Kuramoto-Sivashinsky type equations by Galerkin method‎. <br />‎The numerical results in comparison with the exact solution prove the efficiency and accuracy of our method‎.