摘要
讨论了一类半线性椭圆边值问题的无网格方法.采用径向基函数无网格法的基本原理和非线性方程组的Newton方法,构造了相应半线性椭圆边值问题的数值格式.给出了数值算例,且与常用算法进行了比较.说明了方法具有易于编程、计算精度高及不需要对区域进行网格划分等优点.
The meshless method for a kind of semi-linear elliptic boundary value problem is discussed. Applying the radial basis functions and Newton method, the numerical formula for the corresponding semi-linear elliptic boundary value problem is constructed. Finally the numerical example is given. We compared our method with ordinary ones. It shows that our method has the advantages of more easy programming, higher accuracy and free of mesh.
出处
《苏州大学学报（自然科学版）》
CAS
2006年第4期14-17,共4页
Journal of Soochow University(Natural Science Edition)
基金
国家自然科学基金资助项目(10201026)
苏州大学优秀青年骨干教师基金资助项目(R2317131)
关键词
半线性椭圆边值问题
无网格法
径向基函数
NEWTON法
semi-linear elliptic boundary value problem
meshless method
radial basis functions
Newton method
