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Document Details
Document Type
:
Article In Journal
Document Title
:
Monotone iteration scheme for impulsive three-point nonlinear boundary value problems with quadratic convergence
Monotone iteration scheme for impulsive three-point nonlinear boundary value problems with quadratic convergence
Subject
:
Mathematics
Document Language
:
English
Abstract
:
In this paper, we consider an impulsive nonlinear second order ordinary differential equation with nonlinear three-point boundary conditions and develop a monotone iteration scheme by relaxing the convexity assumption on the function involved in the differential equation and the concavity assumption on nonlinearities in the boundary conditions. In fact, we obtain monotone sequences of iterates (approximate solutions) converging quadratically to the unique solution of the impulsive three-point boundary value problem.
ISSN
:
0304-9914
Journal Name
:
Journal of the Korean Mathematical Society
Volume
:
45
Issue Number
:
5
Publishing Year
:
1429 AH
2008 AD
Article Type
:
Article
Added Date
:
Monday, December 12, 2011
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
بشير أحمد
Ahmad, Bashir
Researcher
Doctorate
bashir_qau@yahoo.com
أحمد الصاعدي
Alsaedi, Ahmed
Researcher
Doctorate
aalsaedi@hotmail.com
دعاء قاروت
Garout, Doaa
Researcher
Master
dgarout@kau.edu.sa
Files
File Name
Type
Description
31640.pdf
pdf
Abstract
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