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

• Autores: Hengfei Ding, Yuxin Zhang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 2, 2009, págs. 600-606
• Idioma: inglés
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• Resumen

  • 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(h4+t5). 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.