Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest derivative on a uniform grid

Autor:	Zhong-Zhi Bai, L. A. Krukier, T. S. Martynova
Rok vydání:	2006
Předmět:	Computational Mathematics Rate of convergence Discretization Iterative method Convergence (routing) Mathematical analysis Relaxation (iterative method) Convection–diffusion equation Compact convergence Mathematics Local convergence
Zdroj:	Computational Mathematics and Mathematical Physics. 46:282-293
ISSN:	1555-6662 0965-5425
DOI:	10.1134/s0965542506020102
Popis:	A stationary convection-diffusion problem with a small parameter multiplying the highest derivative is considered. The problem is discretized on a uniform rectangular grid by the central-difference scheme. A new class of two-step iterative methods for solving this problem is proposed and investigated. The convergence of the methods is proved, optimal iterative methods are chosen, and the rate of convergence is estimated. Numerical results are presented that show the high efficiency of the methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a421b478a65c3f51ec63cc6ab675e312 https://doi.org/10.1134/s0965542506020102 Zobrazit plný text záznamu Full text from SpringerLink