用于积分方程解的函数值Padé-型逼近的恒等式与递推算法  

Identities and a Recursive Algorithm of Function-Valued Padé-Type Approximation Using for Solution of Integral Equations

作　　者：潘宝珍[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《应用科学学报》2006年第1期74-77,共4页Journal of Applied Sciences

基　　金：国家自然科学基金资助项目(10271074)

摘　　要：函数值Padé-型逼近被引入来求解积分方程.文中建立了函数值Padé-型逼近的几个有用的恒等式,给出了一种新的递推算法,并通过实例说明了该方法的有效性.To solve Fredholm integral equations of the second kind, a generalized linear functional was introduced and then function-valued Padé-type approximation was defined. Some useful identities are established by means of error formulas for function-valued Padé-type approximation. A recursive algorithm is also constructed. An example is given to show efficience of this method.

关 键 词：函数值 Padé-型逼近 第二类FREDHOLM积分方程 恒等式 递推算法 

分 类 号：O241.83[理学—计算数学]