NATIONAL BIBLIOGRAPHY NUMBER
Number
T28968
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Finite Difference Method for Numerical Solution of Two Point Boundary Value Problems with Non-uniform Mesh and Internal Boundary Condition
General Material Designation
Dissertation
First Statement of Responsibility
Heisam Mohammad Alvan
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Mathematical Siences
Date of Publication, Distribution, etc.
1402
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
64p.
Other Physical Details
cd
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
M.S.
Discipline of degree
Mathematics
Date of degree
1402/02/09
SUMMARY OR ABSTRACT
Text of Note
In this dissertation, we first study some known methods including finite differencemethod for initial and boundary value problems. Then, we introduce a new finite difference method with a variable step for solving second order boundary value problems whichhave an internal boundary condition. The convergence of the proposed method was discussed and it was established that the convergence have accuracy at least cubic order.We tested the numerical solutions of the proposed method on several model problems. Toconfirm the theoretical results for the proposed method, we provide the numerical resultsfor model problems with known exact solution. Computational results that we obtainedfor these model problems show that the method is efficient and accurate.
Text of Note
فاقد چکیده فارسی
OTHER VARIANT TITLES
Variant Title
روش تفاضلات متناهی برای حل عددی مسائل مقدار مرزی دو نقطه های با شبکه غیر یکنواخت و شرط مرزی درونی
UNCONTROLLED SUBJECT TERMS
Subject Term
Boundary Value Problem, Convergence of the Method, Cubic Order, Finite Difference Method, Variable Step
Subject Term
فاقد کلید واژه فارسی
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Alvan,
Part of Name Other than Entry Element
Heisam Mohammad
Relator Code
Producer
PERSONAL NAME - SECONDARY RESPONSIBILITY
Entry Element
Evaz,
Entry Element
Lakestani,
Part of Name Other than Entry Element
Karim
Part of Name Other than Entry Element
Mehrdad
Relator Code
Thesis advisor
Relator Code
Thesis advisor
CORPORATE BODY NAME - SECONDARY RESPONSIBILITY
Entry Element
Tabriz
ORIGINATING SOURCE
Country
ایران
Agency
Central Library of Tabriz University
Date of Transaction
20230829
LOCATION AND CALL NUMBER
Call Number
ارشد پایاننامه QA37/2.A4 1402
ELECTRONIC LOCATION AND ACCESS
Electronic name
Heisam Mohammad Alvan
Contact for access assistance
عبادی
e
TL
276903
a
Y
