%0 Journal Article
%T Septic B-spline collocation method for numerical solution of the coupled Burgers¡¯ equations
%A Abbas H. Taqi
%A K. R. Raslan
%A Khalid K. Ali
%A Muhannad A. Shallal
%J Arab Journal of Basic and Applied Sciences
%D 2019
%R https://doi.org/10.1080/25765299.2019.1628687
%X Abstract In this paper, a numerical solution of the coupled Burgers' equations based on septic B-spline collocation method is presented. The scheme is based on the Crank¨CNicolson formulation for time integration and septic B-spline functions for space integration. The method has been showed unconditionally stable by using Von-Neumann technique. The efficiency of this method is demonstrated by applying two test problems. The obtained numerical results are found in a good agreement with the exact solution. This method is efficient, powerful, and economical. It can also applicable to other linear and nonlinear partial differential equations
%U https://www.tandfonline.com/doi/full/10.1080/25765299.2019.1628687