Numerical Solution of Evolutionary Integral Equations with Completely Monotonic Kernel by Runge-Kutta Convolution Quadrature

被引：2
作者：
Xu, Da [1 ]
机构：
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
evolutionary integral equation; completely monotonic kernel; time discretization; Runge-Kutta convolution quadrature; error estimates; DISCONTINUOUS GALERKIN METHOD; VOLTERRA-EQUATIONS; DIFFUSION EQUATION; INTEGRODIFFERENTIAL EQUATION; FRACTIONAL DIFFUSION; TIME DISCRETIZATION; PARABOLIC EQUATIONS; STABILITY;
D O I：
10.1002/num.21896
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the numerical solutions of the initial boundary value problems for the Volterra-type evolutionary integal equations, in which the integral operator is a convolution product of a completely monotonic kernel and a positive definite operator, such as an elliptic partial-differential operator. The equation is discretized in time by the Runge-Kutta convolution quadrature. Error estimates are derived and numerical experiments reported. (c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq31: 105-142, 2015
引用
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页码：105 / 142
页数：38
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