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A septic B-spline finite element method for solving the nonlinear Schrödinger equation
Bülent SAKA,Idris Dag 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.3
The septic B-spline collocation algorithm is set up to nd the numerical solution of the nonlinear Schrödinger equation. The e¤ect of use of the higher degree B-spline in the collocation method is searched for getting the numerical solution of the Schrödinger equation. The three test problems are studied to show the robustness of the suggested method.
Extended Cubic B-Spline Solution of the Advection-Diffusion Equation
Dursun Irk,Idris Dag,Mustafa Tombul 대한토목학회 2015 KSCE JOURNAL OF CIVIL ENGINEERING Vol.19 No.4
The collocation method based on the extended B-spline functions as trial functions is set up to find numerical solutions of the advection-diffusion equation numerically. The transport of the pollution is simulated by way of using solutions of the advectiondiffusion equation. Comparative results of use of both B-spline and extended B-spline in the collocation method are illustrated. It is concluded that a suitable selection of the free parameter of extended B-spline is shown to provide less error for the numerical solutions of the advection-diffusion equation with some boundary and initial conditions.