A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation

Year 2022, Volume: 7 Issue: 3, 185 - 194, 30.12.2022

Melis Zorsahin Gorgulu

https://doi.org/10.30931/jetas.1072151

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.

Keywords

Collocation method, Crank-Nicolson method, decic (tenth degree) B-spline function, equal width equation

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