计算机工程与应用2013，Vol.49Issue(2)：53-56,4.DOI:10.3778/j.issn.1002-8331.1109-0407
一种径向基函数插值的ENO格式
ENO scheme based on interpolation of radial basis function
摘要
Abstract
Combining the ENO scheme with radial basis function interpolation, an ENO method for solving hyperbolic partial differential equations is introduced. According to the idea of ENO, the self-adjusting template is established, and the RBF interpolation is used to approximate in the selected template. Moreover, the problem with uncontinuous solution can be solved primely, and the numerical oscillation phenomenon at uncontinuous points is eliminated. Numerical results are presented for one-dimensional hyperbolic partial differential equation, and as compared with polynomial ENO method, this algorithm has more advantages.关键词
守恒律方程/总变差减小(TVD)/基本无振荡(ENO)方法/径向基函数Key words
conservation laws equation/ Total Variation Diminishing (TVD)/ Essentially No Oscillatory (ENO) method/ radial basis function分类
数理科学引用本文复制引用
刘丽,赵凤群..一种径向基函数插值的ENO格式[J].计算机工程与应用,2013,49(2):53-56,4.基金项目
陕西省教育厅基金项目(No.11JK0524) （No.11JK0524）
陕西省自然科学基金(No.2011JM1013). （No.2011JM1013）
