广义Fisher方程的无网格配置方法  

Meshfree collocation method for the generalized Fisher equation

作　　者：肖艳敏[1] 伍渝江[1] 

机构地区：[1]兰州大学数学与统计学院,甘肃兰州730000

出　　处：《兰州大学学报（自然科学版）》2011年第2期104-108,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：甘肃省科技支撑计划项目(0804NKCA073)

摘　　要：用径向基函数插值的无网格配置方法求解广义Fisher方程.此方法可以把非线性问题转化为线性问题,与传统的方法相比减少了计算量.为了说明这种方法的有效性,给出了数值结果并且模拟了一些反映扩散现象.A meshfree collocation method was introduced based on the interpolation of radial basis functions（RBFs） for solving the generalized Fisher equation and a nonlinear problem was changed into a linear one by using this method.Compared with the traditional method,the new algorithm could reduce work on computation.Some numerical results and simulations were also presented to demonstrate the effectiveness of the method.

关 键 词：广义FISHER方程 径向基函数插值 无网格配置方法 

分 类 号：O242[理学—计算数学]