应用数学2025，Vol.38Issue(3)：625-635,11.
QIF算法在扩散问题中的应用
Application of QIF Algorithm to the Diffusion Problem
摘要
Abstract
Many natural science phenomena and engineering problems involve the diffusion prob-lem,and its numerical solutions have important scientific significance and application value.In this paper,QIF algorithm is used to solve discrete linear equations for one-dimensional,two-dimensional and three-dimensional diffusion problems.The time complexity of the algorithm is analyzed theoretically,the comparison with LU decomposition method is given,and the effectiveness and accuracy of QIF algorithm to solve the diffusion problem are verified by numerical experiments.关键词
扩散问题/QIF算法/全隐差分离散/时间复杂度Key words
The diffusion problem/QIF algorithm/Full implicit difference discretization/Time complexity分类
数学引用本文复制引用
赵丹阳,许秋燕..QIF算法在扩散问题中的应用[J].应用数学,2025,38(3):625-635,11.基金项目
宁夏自然科学基金项目(2024AAC02009) （2024AAC02009）
国家自然科学基金项目(12202219,12061057) （12202219,12061057）
宁夏青年拔尖人才项目 （）
