A novel approach to solving system of integral partial differential equations based on hybrid modified block-pulse functions

被引：2

作者：

Rostami, Yaser ^{[1
]}

Maleknejad, Khosrow ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Malard Branch, Tehran, Iran

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 07期

关键词：

Bernoulli polynomials; integral partial differential equations; modified block-pulse functions; operational matrices; PARTIAL INTEGRODIFFERENTIAL EQUATION; COLLOCATION METHOD; ELECTROMAGNETIC-WAVES; SCHEME;

D O I：

10.1002/mma.9891

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In nonlinear this paper, we present a new approach to solve system of two-dimensionalFredholm-Volterra integral partial differential equations. This approach is based on a new hybrid of two-dimensional Bernoulli polynomials and modified block-pulse functions. Different from the traditional methods, in this new approach, the operational matrices are considered. Furthermore, by solving this matrix equation and using the collocation method, approximate solutions for the problem are obtained. Finally, error analysis and three practical examples are provided accuracy and efficiency illustrate our approach.

引用

页码：5798 / 5818

页数：21

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