A study on particle methods for dispersive equations

Abstract

In recent years, particle methods have ended up a standout amongst the most valuable and far reaching tools for approximating solutions of partial differential equations in an assortment of fields. In these methods, an answer of a given equation is spoken to by a gathering of particles, situated in points Xi and conveying masses Wi• Equations of advancement in time are then composed to portray the flow of the area of the particles and their weights.