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

页码：105 / 142

页数：38

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