A New Approach to Numerical Solution of Nonlinear Partial Mixed Volterra-Fredholm Integral Equations via Two-Dimensional Triangular Functions

被引：0

作者：

Safavi, M. ^{[1
]}

Khajehnasiri, A. A. ^{[2
]}

Jafari, A. ^{[3
]}

Banar, J. ^{[4
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, North Tehran Branch, Tehran, Iran

[3] Islamic Azad Univ, Dept Math, Khalkhal Branch, Tehran, Iran

[4] Islamic Azad Univ, Dept Math, Firoozkooh Branch, Tehran, Iran

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2021年 / 15卷 / 03期

关键词：

nonlinear equations; partial mixed Volterra-Fredholm integral equations; operational matrix; two-dimensional triangular functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proposes a numerical procedure for solving the nonlinear partial mixed Volterra-Fredholm integro-differential equations by two-dimensional triangular function (2D-TFs). The integration and differentiation in two-dimensional spaces have been presented for an operational matrix on triangular functions, whereas by converting the nonlinear partial mixed Volterra-Fredholm integro-differential equation to a system of algebraic by using these matrices. Some numerical examples, have been proposed to obtain the accuracy and effectiveness of the method.

引用

页码：489 / 507

页数：19

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