Portal de Periódicos da CAPES

A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations

2012; Emerald Publishing Limited; Volume: 22; Issue: 5 Linguagem: Inglês

10.1108/09615531211231280

1758-6585

Syed Tauseef Mohyud‐Din, Elham Negahdary, Muhammad Usman,

Fractional Differential Equations Solutions

Purpose The purpose of this paper is to present a numerical solution of a family of generalized fifth‐order Korteweg‐de Vries equations using a meshless method of lines. This method uses radial basis functions for spatial derivatives and Runge‐Kutta method as a time integrator and exhibits high accuracy as seen from the comparison with the exact solutions. Design/methodology/approach The study uses a meshless method of lines. This method uses radial basis functions for spatial derivatives and Runge‐Kutta method as a time integrator. Findings The paper reveals that this method exhibits high accuracy as seen from the comparison with the exact solutions. Originality/value This method is efficient method as it is easy to implement for the numerical solutions of PDEs.