两点边值问题的混合型高精度紧致差分格式  

Mixed High-order Compact Difference Scheme for Solving the Two-point Boundary Value Problem

作　　者：梁昌弘 马廷福[1] 葛永斌[1] Liang Changhong Ma Tingfu Ge Yongbin(School of Mathematics and Statistic, Ningxia University, Yinchuan 750021, China)

机构地区：[1]宁夏大学数学统计学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2017年第1期1-4,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11361045;11161036);宁夏高等学校科学技术研究项目(NGY2013019)

摘　　要：借助显式紧致格式和隐式紧致格式的思想,构造了求解两点边值问题的一种混合型紧致格式.该格式仅用到3个点上的未知函数值及其一阶导数值,而一阶导数值利用四阶Padé格式进行计算.格式整体具有四阶精度,数值实验结果验证了其精确性和可靠性.Compact scheme is divided into explicit compact scheme and implicit compact scheme.With the help of two kinds of compact scheme ideas,a mixed high-order compact difference scheme is constructed for solving the two-point boundary value problem.The scheme uses three-point unknown function values and theirs first-order derivative values.The first-order derivative is solved by the Padéscheme.The proposed scheme is overall fouth-order accuracy.Numerical experiments are given to prove the efficiency and dependability of the present scheme.

关 键 词：两点边值问题 紧致格式 高精度 混合型 对流扩散反应 

分 类 号：O241.82[理学—计算数学]