西北师范大学学报（自然科学版）Issue(4)：31-35,40,6.
一种非均匀网格上的高精度紧致差分格式
A higher accurate compact difference scheme on non-uniform grid
摘要
Abstract
A third-point fourth-order compact difference scheme is proposed on the non-uniform grid , which is simple in form , flexible in grid subdivision and general in use . The truncation error of the scheme is analyzed . The Burgers equation and the convection equation are solved numerically by using present scheme , the numerical solutions are compared with those obtained from the standard third-point fourth-order compact difference scheme on the uniform grid ,and the results show that the present scheme have higher accuracy for large gradient problems .关键词
非均匀网格/紧致差分格式/数值解/Burgers 方程/对流方程Key words
non-uniform grid/compact difference scheme/numerical solution/Burgers equation/convetion equation分类
数理科学引用本文复制引用
孙建安,贾伟,吴广智..一种非均匀网格上的高精度紧致差分格式[J].西北师范大学学报（自然科学版）,2014,(4):31-35,40,6.基金项目
国家自然科学基金资助项目（10875098）；西北师范大学科技创新工程资助项目 （）
