A NONLINEAR WEAKLY SINGULAR VOLTERRA INTEGRODIFFERENTIAL EQUATION ARISING FROM A REACTION-DIFFUSION STUDY IN A SMALL-CELL

被引：25

作者：

DIXON, JA ^{[1
]}

机构：

[1] OXFORD UNIV,COMP LAB,OXFORD OX1 3QD,ENGLAND

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1987年 / 18卷 / 03期

关键词：

BIOLOGICAL MATERIALS - Cells;

D O I：

10.1016/0377-0427(87)90003-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple product integration scheme is proposed to solve a nonlinear Volterra integro-differential equation with a weakly singular kernel and a non-smooth solution. A discrete Gronwall inequality is derived and then employed to prove convergence of the numerical method. Numerical results are given which support the theoretical results.

引用

页码：289 / 305

页数：17

共 10 条

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[5]

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[6]

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