A finite pointset method for Kuramoto–Sivashinsky equation based on mixed formulation

Author:

Doss L. Jones Tarcius1ORCID,Kousalya N.2

Affiliation:

1. Department of Mathematics Anna University Chennai India

2. Department of Mathematics Sri Sai Ram Engineering College Chennai India

Abstract

In this paper, a second‐order splitting method is applied to the Kuramoto–Sivashinsky equation, and then a finite Pointset method (FPM) is employed to solve the resulting coupled system. FPM is a meshfree particle method which is a local iterative procedure based on the weighted least square approximation. The numerical example confirms that the FPM is effective and accurate for this kind of problem.

Publisher

Wiley

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