Numerical Solution of Drinfel’d Sokolov Wilson System Using Differential Quadrature and Finite Difference Methods
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.
Differential Quadrature Method, Drinfel’d-Sokolov-Wilson equation, Finite Difference Method
© 2011 Karaelmas Fen ve Mühendislik Dergisi