A NEW ALGORITHM BASED ON THE DECIC (TENTH DEGREE) B-SPLINE FUNCTIONS FOR NUMERICAL SOLUTION OF THE EQUAL WIDTH EQUATION

Abstract

In this study, a new algorithm is introduced for the numerical solution of equal width (EW) equation. This algorithm is created by using the collocation finite element method based on decic B-spline functions for the space discretization of the EW equation and the Crank-Nicolson method for the time discretization of his equation. The obtained results are compared with the previous ones to see the efficiency and accuracy of the proposed method.