A DIFFERENCE SCHEME FOR A NONLINEAR PARTIAL INTEGRODIFFERENTIAL EQUATION

被引：187

作者：

LOPEZMARCOS, JC

机构：

[1] Univ de Valladolid, Spain

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 01期

关键词：

Mathematical Techniques;

D O I：

10.1137/0727002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A difference method for the numerical integration of a nonlinear partial integrodifferential equation is considered. The integral term is treated by means of a convolution quadrature suggested by Lubich. Some results from Lubich's discretized fractional calculus play a crucial role in proving consistency. The verification of stability and convergence is based on the nonnegative character of the real quadratic form associated with the convolution quadrature. A stability result is derived that is applicable to equations and numerical methods far more general than those treated in this paper.

引用

页码：20 / 31

页数：12

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