Numerical Solution of Drinfel’d Sokolov Wilson System Using Differential Quadrature and Finite Difference Methods

Gülnihal Meral

Abstract


In this paper, the numerical solution of the initial value problem defined by the Drinfel’d-Sokolov-Wilson system is investigated. The equations in the system are discretized spatially by using the differential quadrature method (DQM) which is a domain discretization method and have the property of giving accurate solutions with a small number of discretization points. The resulting time-dependent system of ordinary differential equations is then solved by an explicit-implicit finite difference method (FDM). By using an explicit-implicit scheme for the time integration, the possible stability problems are eliminated. The proposed method is tested numerically and accurate solutions of are obtained with a small number of discretization points thus with a low computational cost.

Keywords


Differential Quadrature Method, Drinfel’d-Sokolov-Wilson equation, Finite Difference Method

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DOI: http://dx.doi.org/10.7212%2Fzkufbd.v9i2.1363

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