西北师范大学学报（自然科学版）2013，Vol.49Issue(4)：16-24,33,10.
一维定常对流扩散方程非均匀网格上的高阶紧致差分格式
A high-order compact difference scheme for solving the 1D steady convection diffusion equation on nonuniform grids
摘要
Abstract
A high-order compact difference scheme for solving the one dimensional(1D)steady convection diffusion equation on nonuniform grids is proposed based on Taylor series expansion.The accuracy of the scheme is the third-to fourth-order.Numerical experiments for some problems with boundary layers are conducted to validate the accuracy and the effectiveness of the present method.By comparing the computed results of the present scheme with that of the central difference scheme and the others schemes in the literature,it is found that the results computed by the present method is more accurate than that computed by some existed methods.关键词
一维定常对流扩散方程/非均匀网格/高阶紧致差分格式/边界层问题Key words
1D steady convection diffusion equation/nonuniform grids/high-order compact difference scheme/boundary layer problems分类
数理科学引用本文复制引用
薛文强,兰斌,葛永斌..一维定常对流扩散方程非均匀网格上的高阶紧致差分格式[J].西北师范大学学报（自然科学版）,2013,49(4):16-24,33,10.基金项目
国家自然科学基金资助项目(11061025) （11061025）
霍英东教育基金会高等院校青年教师基金资助项目(121105) （121105）
宁夏自然科学基金资助项目(NZ12123) （NZ12123）
宁夏大学自然科学基金资助项目(2R1120) （2R1120）
