机构地区: 内蒙古工业大学理学院
出 处: 《内蒙古大学学报(自然科学版)》 2009年第2期128-131,共4页
摘 要: 讨论了单相融化问题热平衡积分细化解的收敛性.证明在将空间变量n等分的剖分条件下,若选取分段线性多项式作为温度场近似函数,当Stefan数β大于等于1时,该问题的热平衡积分细化解收敛于精确解,且其收敛速度为O(n-1). The convergence properties of the refined heat balance integral solution for the onephase melting problem are investigated. It is proved that ,for an equally spaced subdivision of n^-1and a piecewise linear polynomial selected as the approximate temperouture profile, when the Stefan number β≥1,the refined heat balance integral solution of this problem converges formally to the exact solution, and the convergence rate is O(n^-1).