The application of an inverse-free Jarratt-type approximation to nonlinear integral equations of Hammerstein-type

被引：16

作者：

Ezquerro, JA ^{[1
]}

Gutierrez, JM ^{[1
]}

Hernandez, MA ^{[1
]}

Salanova, MA ^{[1
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 04期

关键词：

nonlinear equations; multipoint iterations; convergence theorem; recurrence relations; a priori error bounds;

D O I：

10.1016/S0898-1221(98)00137-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inverse-free Jarratt-type approximation, whose order of convergence is four, for solving nonlinear equations. The convergence of this method is analysed under two different types of conditions.; We use a new technique based on constructing a system of real sequences. Finally, this method is applied to the study of Hammerstein's integral equations. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：9 / 20

页数：12

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