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Faculty of Sciences
Document Details
Document Type
:
Thesis
Document Title
:
ONOTONE INTERATIVE METHOD FOR IMPULSIVE THREE POINT PROBLEM
طرية تكرارية مطردة لمسائل ثلاثية النقاط نبضية
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
In this thesis, we discuss the monotone iterative method for nonlinear three-point boundary value problems with and without impulse effects. As a first problem, we apply the method of upper and lower solutions together with monotone iterative technique to generate a sequence of iterates converging quadratically to the unique solution of a second order nonlinear three-point boundary value problem. The convexity and concavity assumptions on the nonlinearities involved in the problem are relaxed and it has been shown that the nonlinearities in the boundary conditions can be handled on the pattern similar to the one used in tackling the nonlinearity involved in the differential equation. As a second problem, we develop the generalized quasilinearization technique for an impulsive hybrid general three-point boundary value problem and obtain sequences of approximate solutions converging monotonically and quadratically to the unique solution of the problem. It has been found that several interesting results can be recorded as a special case of the work established in this thesis
Supervisor
:
Dr. Bashir Ahamd Faquer
Thesis Type
:
Master Thesis
Publishing Year
:
1428 AH
2007 AD
Co-Supervisor
:
Dr. Ahmed Eid Al-saedi
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
دعاء عبدالرؤوف قاروت
Qarot, Doaa Abdul Raouf
Researcher
Master
Files
File Name
Type
Description
23718.pdf
pdf
المستخلص
23719.pdf
pdf
Abstract
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