摘要
基于楔形基函数和点插值法,提出了一种新的求解热传导方程的无网格法.给出了求解热传导方程的显格式及数值解的存在惟一性定理.通过数值结果表明该算法切实可行,并达到满意的收敛效果.该方法是一种真正的无网格法.
A new meshless method for heat conduction equations is developed, which is based on point interpolation method and ridge basis function. The explicit scheme of the given e- quation is proposed and the existence and uniqueness of the solution to the method is proved. According to numerical example and analysis, it is seen that the method in this paper is feasible, and can achieve satisfactory results. This method is a truly meshless technique without mesh discretization.
出处
《陕西科技大学学报（自然科学版）》
2013年第4期157-162,共6页
Journal of Shaanxi University of Science & Technology
基金
国家自然科学基金项目(50879069)
陕西省科技厅自然科学基金项目(2012JM1008)
陕西省教育厅科研计划项目(2013JK1029)
关键词
楔形基函数
点插值法
热传导方程
ridge basis function
point interpolation method
heat conduction equations
