Solving Three-Dimensional Volterra Integral Equations by Using Operational Matrix with Block-Pulse Functions

Hossein Ghiasi; Rahele Nuraei; Majid KaramiSaeid Khezerloo

首页> 外文期刊>Iranian Journal of Science >Solving Three-Dimensional Volterra Integral Equations by Using Operational Matrix with Block-Pulse Functions

【24h】

Solving Three-Dimensional Volterra Integral Equations by Using Operational Matrix with Block-Pulse Functions

机译：Solving Three-Dimensional Volterra Integral Equations by Using Operational Matrix with Block-Pulse Functions

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

A simple direct method for solving three-dimensional linear Volterra integral equation of the second kind was introduced in this paper. Our method was demonstrated by applying three-dimensional block-pulse functions (3D-BPFs) and their operational matrix of integration. Indeed, we converted an integral equation to a linear system that can be easily solved. The convergence analysis of the method was discussed by convergence of 3D-BPFs and we found a bound for the error. Finally, some numerical examples illustrated that our method is feasible and efficient.

著录项

来源
《Iranian Journal of Science》 |2023年第2期|567-574|共8页
作者
Hossein Ghiasi; Rahele Nuraei; Majid KaramiSaeid Khezerloo;
展开▼
作者单位

Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类
关键词
Linear Volterra integral equation; Block-pulse functions; Operational matrix; Numerical method; Convergence analysis;

Solving Three-Dimensional Volterra Integral Equations by Using Operational Matrix with Block-Pulse Functions

摘要

著录项

相关主题

期刊订阅