非线性抛物型积分-微分方程的向后Euler差分有限体积元方法

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 370-377.

非线性抛物型积分-微分方程的向后Euler差分有限体积元方法

1. College of Mathematics and Information Science, Henan University2. Institute of Applied Mathematics, Henan University3. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences4. Mechanical Engineering College, Tianjin University5. Department of Mathematics, Tianjin University

收稿日期:2008-10-12 出版日期:2009-09-30 发布日期:2023-06-27
作者简介: WANG Bo(1976- ), female, native of Liaocheng, Shandong, an associate professor of Henan University, Ph.D., engages in the numerical solution of partial differential equations.
基金资助:
Supported by the NSF of China(40805020； 90511009； 10702050； 60704015； 60877001)；

A Finite Volume Backward Euler Difference Method for Nonlinear Parabolic Integral-differential Equation

1. College of Mathematics and Information Science, Henan University2. Institute of Applied Mathematics, Henan University3. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences4. Mechanical Engineering College, Tianjin University5. Department of Mathematics, Tianjin University

Received:2008-10-12 Online:2009-09-30 Published:2023-06-27
About author: WANG Bo(1976- ), female, native of Liaocheng, Shandong, an associate professor of Henan University, Ph.D., engages in the numerical solution of partial differential equations.
Supported by:
Supported by the NSF of China(40805020； 90511009； 10702050； 60704015； 60877001)；

摘要/Abstract

摘要： The Finite volume backward Euler difference method is established to discuss two-dimensional parabolic integro-differential equations. These results are new for finite volume element methods for parabolic integro-differential equations.

关键词: finite volume element, integro-differential equations, initial boundary problem;
optimal error estimates

Abstract: The Finite volume backward Euler difference method is established to discuss two-dimensional parabolic integro-differential equations. These results are new for finite volume element methods for parabolic integro-differential equations.

Key words: finite volume element, integro-differential equations, initial boundary problem;
optimal error estimates

中图分类号:

O241.82

王波, 王强. 非线性抛物型积分-微分方程的向后Euler差分有限体积元方法[J]. 数学季刊, 2009, 24(3): 370-377.

WANG Bo, WANG Qiang. A Finite Volume Backward Euler Difference Method for Nonlinear Parabolic Integral-differential Equation [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 370-377.

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