Volterra型积分微分方程Chebyshev谱配置法求解

O241.83; 采用Chebyshev谱配置法求解Volterra型积分微分方程.首先将积分微分方程改写成等价的第二类 Volterra积分方程组,再取 Clenshaw-Curtis 点为配置点,然后利用 Clenshaw-Curtis求积法则离散方程中积分项得到配置方程组,最后给出在L∞范数空间下的误差分析,并用数值实例验证理论分析的结果.该方法既有谱精度,程序又易实现....

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Published in大连理工大学学报 Vol. 63; no. 2; pp. 215 - 220
Main Authors 方春华, 黄超兰, 王建雨
Format Journal Article
LanguageChinese
Published 湖南理工学院 数学学院,湖南 岳阳 414006 01.03.2023
Subjects
Chebyshev谱配置法
Clenshaw-Curtis求积
谱精度
Volterra型积分微分方程
第二类Volterra积分方程组
Online AccessGet full text
ISSN1000-8608
DOI10.7511/dllgxb202302013

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Abstract O241.83; 采用Chebyshev谱配置法求解Volterra型积分微分方程.首先将积分微分方程改写成等价的第二类 Volterra积分方程组,再取 Clenshaw-Curtis 点为配置点,然后利用 Clenshaw-Curtis求积法则离散方程中积分项得到配置方程组,最后给出在L∞范数空间下的误差分析,并用数值实例验证理论分析的结果.该方法既有谱精度,程序又易实现.
AbstractList O241.83; 采用Chebyshev谱配置法求解Volterra型积分微分方程.首先将积分微分方程改写成等价的第二类 Volterra积分方程组,再取 Clenshaw-Curtis 点为配置点,然后利用 Clenshaw-Curtis求积法则离散方程中积分项得到配置方程组,最后给出在L∞范数空间下的误差分析,并用数值实例验证理论分析的结果.该方法既有谱精度,程序又易实现.
Author 王建雨
方春华
黄超兰
AuthorAffiliation 湖南理工学院 数学学院,湖南 岳阳 414006
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WANG Jianyu
HUANG Chaolan
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DocumentTitle_FL Volterra type integral-differential equations solution by Chebyshev spectral collocation method
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Keywords Chebyshev谱配置法
Clenshaw-Curtis求积
谱精度
Volterra型积分微分方程
第二类Volterra积分方程组
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Snippet O241.83; 采用Chebyshev谱配置法求解Volterra型积分微分方程.首先将积分微分方程改写成等价的第二类 Volterra积分方程组,再取 Clenshaw-Curtis 点为配置点,然后利用...
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