Quadratic non-polynomial spline approximation for non-linear Volterra-Fredholm integral equations of the second kind

被引：2

作者：

Kadhem, Marwa B. ^{[1
]}

Nasif, Majid R. ^{[2
]}

机构：

[1] AL Esraa Univ Coll, Dept Business Adm, Baghdad, Iraq

[2] Univ Mustansiriyah, Dept Math, Baghdad, Iraq

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 05期

关键词：

Non-linear integral equation; Volterra-Fredholm of second kind; Quadratic non-polynomial spline; Libenze formula; NUMERICAL-SOLUTION;

D O I：

10.1080/09720502.2022.2046333

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A quadratic non-polynomial spline is studied in depth in this paper in order to solve non-linear Volterra-Fredholm integral equations of type 2. This section introduces an algorithm, followed by example. As a result of a comparison of exact and approximate solutions, numerical results show convergence between the two. To demonstrate the technique's feasibility and capability, numerical example is presented.

引用

页码：1383 / 1390

页数：8

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