A new difference scheme with high accuracy and absolute stability for solving convection–diffusion equations

✍ Scribed by Hengfei Ding; Yuxin Zhang

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 420 KB
• Volume: 230
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.12.015

✦ Synopsis

In this paper, we use a semi-discrete and a padé approximation method to propose a new difference scheme for solving convection-diffusion problems. The truncation error of the difference scheme is O(h 4 + τ 5 ). It is shown through analysis that the scheme is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with Crank-Nicolson method.