کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
767232 | 897162 | 2011 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Numerical solution of the coupled viscous Burgers’ equation Numerical solution of the coupled viscous Burgers’ equation](/preview/png/767232.png)
In the present paper, a numerical method is proposed for the numerical solution of a coupled system of viscous Burgers’ equation with appropriate initial and boundary conditions, by using the cubic B-spline collocation scheme on the uniform mesh points. The scheme is based on Crank–Nicolson formulation for time integration and cubic B-spline functions for space integration. The method is shown to be unconditionally stable using von-Neumann method. The accuracy of the proposed method is demonstrated by applying it on three test problems. Computed results are depicted graphically and are compared with those already available in the literature. The obtained numerical solutions indicate that the method is reliable and yields results compatible with the exact solutions.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 3, March 2011, Pages 1304–1313