A moving least squares meshless method for solving the generalized Kuramoto-Sivashinsky equation

Abstract

We use a moving least squares meshless method to solve the nonlinear Kuramoto-Sivashinsky equation. The accuracy of the method is demonstrated by three test problems for which the numerical results are found to be in excellent agreement with analytical solution.

Keywords

• Meshless
• Kuramoto
• Sivashinsky
• Least squares