四阶微分方程广义特征值的算法  

Computation of the Generalized Eigenvalues of the Differential Equation with Four Orders

作　　者：马林德 钱椿林[1] 

机构地区：[1]苏州市广播电视大学电子系,江苏苏州215004

出　　处：《武汉职业技术学院学报》2005年第3期70-73,共4页Journal of Wuhan Polytechnic

摘　　要：考虑计算四阶微分方程广义特征值的近似值的算法,运用泛函证明了主要结果。利用三个引理,采用Galerkin方法来构造适当的基函数,并利用Cauchy不等式给出了其特征值计算的误差估计式;最后得到其问题的算法,而且可以用第n次近似值来估计第n-1次的近似值的精确度。并给出了应用实例。This paper considers a computational method of the approximate value of the generalized eigenvalues of thedifferential equation with four orders and demonstrates the result based on the functional analysis. It applies three lemmasand Galerkin method to make the functions, and presents the error estimates of eignevalues by Cauchy inequality, andfinally reach the method of computation of the approximate value of the eigenvalues. It also suggests that the accuracy ofn-1th approximate value should estimate by the n-th approximate value.

关 键 词：四阶微分方程 广义特征值 算法 GALERKIN方法 误差估计式 近似值 应用实例 基函数 不等式 精确度 计算 引理 泛函 

分 类 号：O175.8[理学—数学] O151.21[理学—基础数学]