TY - JOUR AB - Purpose– The purpose of this paper is to find an effective numerical method for solving singularly perturbed convection-diffusion problems. Design/methodology/approach– The present method is based on the asymptotic expansion method and the variational iteration method (VIM). First a zeroth order asymptotic expansion for the solution of the given singularly perturbed convection-diffusion problem is constructed. Then the reduced terminal value problem is solved by using the VIM. Findings– Two numerical examples are introduced to show the validity of the present method. Obtained numerical results show that the present method can provide very accurate analytical approximate solutions not only in the boundary layer, but also away from the layer. Originality/value– The combination of the asymptotic expansion method and the VIM is applied to singularly perturbed convection-diffusion problems. VL - 24 IS - 6 SN - 0961-5539 DO - 10.1108/HFF-01-2013-0033 UR - https://doi.org/10.1108/HFF-01-2013-0033 AU - Geng Fazhan AU - Qian Suping AU - Li Shuai ED - Dr Hong-Yan Liu and Dr Ji-Huan He PY - 2014 Y1 - 2014/01/01 TI - Numerical solutions of singularly perturbed convection-diffusion problems T2 - International Journal of Numerical Methods for Heat & Fluid Flow PB - Emerald Group Publishing Limited SP - 1268 EP - 1274 Y2 - 2024/03/28 ER -