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

Hengfei Ding, Yuxin Zhang

• 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.