Title :
Quintic spline based computational scheme for singularly perturbed convection-diffusion problems
Author :
Bawa, Rajesh Kumar
Author_Institution :
Dept. of Comput. Sci., Punjabi Univ., Patiala, India
Abstract :
In this article, we propose a fourth-order difference scheme using quintic spline for singularly perturbed convection-diffusion Dirichlet boundary-value problems. Theoretical error estimates are derived for the method. Computational efficiency and accuracy are verified through numerical examples.
Keywords :
boundary-value problems; computational fluid dynamics; difference equations; error analysis; singularly perturbed systems; splines (mathematics); Dirichlet boundary-value problem; error estimates; fourth-order difference scheme; quintic spline based computational scheme; singularly perturbed convection-diffusion problem; Books; Chemical engineering; Computational efficiency; Computer errors; Computer science; Estimation theory; Fluid dynamics; Mathematics; Navier-Stokes equations; Spline;
Conference_Titel :
High Performance Computing Systems and Applications, 2005. HPCS 2005. 19th International Symposium on
Print_ISBN :
0-7695-2343-9
DOI :
10.1109/HPCS.2005.43
