.png){kind=icon}
返回
Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2014.06.063.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this study, the numerical solution of Fredholm-Volterra integro-differential equations for two-point, second-order periodic boundary value problems is discussed in a reproducing kernel Hilbert space. A reproducing kernel Hilbert space is constructed, in which the periodic boundary conditions of the problem are satisfied. The exact solution u(x) is represented in the form of series in the space W-2(3). In the mean time, the n-term approximate solution u(n)(x) is obtained and is proved to converge to the exact solution u(x). Furthermore, we present an iterative method for obtaining the solution in the space W-2(3). Some examples are displayed to demonstrate the validity and applicability of the proposed method. The numerical result indicates that the proposed method is straightforward to implement, efficient, and accurate for solving linear and nonlinear equations. (C) 2014 Elsevier Inc. All rights reserved.
Keyword:
Periodic boundary value problems
Reproducing kernel Hilbert space method
Gram-Schmidt process
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
机构
引用论文
.png){kind=icon}
分享收藏
Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method用再生核Hilbert空间方法求解Fredholm积分微分方程
PREAI
分享收藏分享收藏Seed germination response to temperature for a range of international populations of Conyza canadensisConyza canadensis多种国际种群在温度条件下的种子萌发响应
PREAI
分享收藏Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method用再生核Hilbert空间方法求解奇异二阶三点边值问题
PREAI
分享收藏Reducing radiation exposure with iterative reconstruction: an inter- and intra-scanner analysis
PREAI
分享收藏
查看更多内容