A COUPLING METHOD OF DIFFERENCE WITH HIGH ORDER ACCURACY AND BOUNDARY INTEGRAL EQUATION FOR EVOLUTIONARY EQUATION AND ITS ERROR ESTIMATES

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (9): 891-905.

A COUPLING METHOD OF DIFFERENCE WITH HIGH ORDER ACCURACY AND BOUNDARY INTEGRAL EQUATION FOR EVOLUTIONARY EQUATION AND ITS ERROR ESTIMATES

羊丹平

Institute of Mathematics of Shandong University, Jinan

收稿日期:1990-05-21 出版日期:1991-09-18 发布日期:1991-09-18
基金资助:
This research was supported by the National Natural Science Foundation of China

A COUPLING METHOD OF DIFFERENCE WITH HIGH ORDER ACCURACY AND BOUNDARY INTEGRAL EQUATION FOR EVOLUTIONARY EQUATION AND ITS ERROR ESTIMATES

Yang Dan-ping

Institute of Mathematics of Shandong University, Jinan

Received:1990-05-21 Online:1991-09-18 Published:1991-09-18
Supported by:
This research was supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： In the present paper, a new numerical method for solving initial-boundary value problems of evolutionary equations is proposed and studied, combining difference method with high accuracy with boundary integral equation method.The numerical approximate schemes for both problems on a bounded or unbounded domain in R³ are proposed and their prior error estimates are obtained.

关键词: difference with high order accuracy, boundary finite element, evolutionary equation, error estimates

Abstract: In the present paper, a new numerical method for solving initial-boundary value problems of evolutionary equations is proposed and studied, combining difference method with high accuracy with boundary integral equation method.The numerical approximate schemes for both problems on a bounded or unbounded domain in R³ are proposed and their prior error estimates are obtained.

Key words: difference with high order accuracy, boundary finite element, evolutionary equation, error estimates

羊丹平. A COUPLING METHOD OF DIFFERENCE WITH HIGH ORDER ACCURACY AND BOUNDARY INTEGRAL EQUATION FOR EVOLUTIONARY EQUATION AND ITS ERROR ESTIMATES[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 891-905.

Yang Dan-ping . A COUPLING METHOD OF DIFFERENCE WITH HIGH ORDER ACCURACY AND BOUNDARY INTEGRAL EQUATION FOR EVOLUTIONARY EQUATION AND ITS ERROR ESTIMATES[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 891-905.

A COUPLING METHOD OF DIFFERENCE WITH HIGH ORDER ACCURACY AND BOUNDARY INTEGRAL EQUATION FOR EVOLUTIONARY EQUATION AND ITS ERROR ESTIMATES

A COUPLING METHOD OF DIFFERENCE WITH HIGH ORDER ACCURACY AND BOUNDARY INTEGRAL EQUATION FOR EVOLUTIONARY EQUATION AND ITS ERROR ESTIMATES

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