宁夏大学学报（自然科学版）2025，Vol.46Issue(2)：97-107,11.
对流扩散方程的六阶指数型混合紧致差分格式
Sixth-Order Compact Exponential Combined Difference Schemes for the Convection-Diffusion Equation
摘要
Abstract
Based on the Taylor series expansions,two sixth-order compact exponential combined difference schemes are constructed for solving the one-dimensional steady convection-diffusion equation using the method of undetermined coefficients and the fourth-order Padé formula.This paper discusses the properties of the two proposed difference schemes and compares their dispersion errors and dissipation errors with those of existing schemes in the literature.By selecting typical numeral examples,the high precision and non-oscillatory charac-teristics of the two sixth-order compact exponential combined difference schemes are verified.These newly developed difference schemes are particularly suitable for solving convection-dominated problems.关键词
对流扩散方程/紧致差分格式/高精度/非振荡特性Key words
convection-diffusion equation/compact difference scheme/high precision/nonoscillation property分类
数理科学引用本文复制引用
郭亚妮,王明镜,田芳..对流扩散方程的六阶指数型混合紧致差分格式[J].宁夏大学学报（自然科学版）,2025,46(2):97-107,11.基金项目
宁夏自然科学基金资助项目(2020AAC03059) （2020AAC03059）
国家自然科学基金资助项目(11902170) （11902170）
2024年宁夏回族自治区重点项目引才专项(2024BEH04087) （2024BEH04087）
