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
收藏
页码：489 / 507
页数：19
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