Volterra泛函微分方程线性θ-方法的散逸性  

Dissipativity of linear θ-methods for Volterra functional differential equations

作　　者：刘学泳[1] 

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《兰州理工大学学报》2009年第5期160-162,共3页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10571147)

摘　　要：研究一类Volterra泛函微分方程数值方法的散逸性问题.给出求解此类问题的线性θ-方法的散逸性结果,结果表明该数值方法继承方程本身的散逸性,数值试验佐证理论结果的正确性.The dissipativity problem of numeric method for a class of Volterra functional differential equations was studied.Dissipativity of linear θ-method for Volterra functional differential was given.The result showed that the numerical method inherited the dissipativity of Volterra functional differential equations proper.Numerical experimentation verified the correctness of theoretic result.

关 键 词：VOLTERRA泛函微分方程 数值方法 线性Θ-方法 散逸性 

分 类 号：O124[理学—数学]