@article{article_805582, title={Numerical Solution of Drinfel’d Sokolov Wilson System Using Differential Quadrature and Finite Difference Methods}, journal={Karaelmas Fen ve Mühendislik Dergisi}, volume={9}, pages={232–236}, year={2019}, DOI={10.7212/zkufbd.v9i2.1363}, author={Meral, Gülnihal}, keywords={Diferensiyel kuadratür metodu,Drinfel’d-Sokolov-Wilson denklemi,Sonlu farklar metodu}, 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.}, number={2}, publisher={Zonguldak Bülent Ecevit Üniversitesi}