NATIONAL BIBLIOGRAPHY NUMBER
Number
T27928
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
An implicit block method with variable stepsize for ODEs
General Material Designation
Dissertation
First Statement of Responsibility
Zaid Hakim Madfoon
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Mathematical Sciences
Date of Publication, Distribution, etc.
1401
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
67p.
Other Physical Details
cd
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
M.S.
Discipline of degree
APPLIED MATHEMATICS
Date of degree
1401/08/18
SUMMARY OR ABSTRACT
Text of Note
A four-point implicit block multistep method with variable stepsize is studiedfor the solution of first–order ordinary differential equations. In this method, thenumerical solution is computed simultaneously at four equally spaced points. Theproposed method is implemented using the Gauss–Seidel approach in PE(CE)mmode. The method is presented in a simple form of Adams type and in orderto avoid having to calculate divided difference and integration coefficients, allcoefficients are stored in the code. In order to demonstrate the effectiveness of theproposed method, numerical examples are given
Text of Note
ی روش چندگامͬ بلوکͬ ضمنͬ چهار نقطه ای با طول گام متغیر برای حل معادلات دیفرانسیلمعمولͬمرتبه اول مورد مطالعه قرار گرفته است. در این روش، جواب عددی به طور همزمان درچهار نقطه با فاصله مساوی محاسبه می شود. روش پیشنهادی با استفاده از رویͺرد گاوس-سایدلدر حالت PE(CE)mاجرا می شود. این روش به شͺل ساده ای از نوع آدامز ارائه شده است و بهمنظور اجتناب از محاسبه تفاضل تقسیم شده و ضرایب انتگرال، همه ضرایب در کد ذخیره می شوند.به منظور نشان دادن کارایی روش پیشنهادی، مثال های عددی آورده شده است
OTHER VARIANT TITLES
Variant Title
یک روش بلوکی ضمنی با طول گام متغیر برای معادلات دیفرانسل معمولی
UNCONTROLLED SUBJECT TERMS
Subject Term
Block method , Ordinary differential equations, Linear stability analysis, convergence.
Subject Term
روش بلوکی، معادلات دیفرانسیل معمولی، آنالیز پایداری خطی، همگرایی
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Hakim Madfoon,
Part of Name Other than Entry Element
Zaid
Relator Code
Producer
PERSONAL NAME - SECONDARY RESPONSIBILITY
Entry Element
Hojjati,
Entry Element
Fazeli,
Entry Element
Abdi,
Part of Name Other than Entry Element
Gholam Reza
Part of Name Other than Entry Element
Somayyeh
Part of Name Other than Entry Element
Ali
Relator Code
Thesis advisor
Relator Code
Thesis advisor
Relator Code
Consulting advisor
CORPORATE BODY NAME - SECONDARY RESPONSIBILITY
Entry Element
Tabriz
ORIGINATING SOURCE
Country
ایران
Agency
Central Library of Tabriz University
Date of Transaction
20230125
LOCATION AND CALL NUMBER
Call Number
ارشد پایاننامه QA37/2.H3 1401
ELECTRONIC LOCATION AND ACCESS
Electronic name
Zaid Hakim Madfoon
Contact for access assistance
عبادی
e
TL
276903
a
Y
