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A Study of Single and Multi Step Methods To Solve Differential Equations

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dc.contributor.advisor Hossain, Prof. Dr. Mohammad Arif
dc.contributor.author Khanam, Mary
dc.date.accessioned 2018-08-13T10:02:35Z
dc.date.available 2018-08-13T10:02:35Z
dc.date.copyright 2011
dc.date.issued 2011-04
dc.identifier.other ID 0551556
dc.identifier.uri http://hdl.handle.net/20.500.12228/367
dc.description This thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics, April 2011. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (pages 76-76).
dc.description.abstract Here the task was to study single and multi step methods to solve differential equations. As Rungc-Kutta method. a single step method has some property to represent a larnily so attention has been given to that method. It was found that to establish the method of any order the number of unknowns are more than the number of available equations. Thus there are options to choose certain values as someone wants (keeping in mind about the conditions). The opportunity has been taken and FIVE formulas of different orders, two fifth, two sixth and one seventh, has been proposed. Problems are solved to verify their capability and strength and it is found that the percentage errors with respect to the exact values are comparable in magnitude with respect to some available same order methods. In case of multi step methods, extensions in both explicit and implicit methods in terms of order are done. It is done keeping in mind that the extension in order will reduce the error. Extensions in Adams- Bash forth and Adams-Moulton formulas up to TENth order are done and with eighth order of both of them a problem is solved to demonstrate the strength of the extension of these predictor-corrector methods. en_US
dc.description.statementofresponsibility Mary Khanam
dc.format.extent 76 pages
dc.language.iso en_US en_US
dc.publisher Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh. en_US
dc.rights Khulna University of Engineering & Technology (KUET) thesis/dissertation/internship reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission.
dc.subject Single and Multi Step Methods en_US
dc.subject Differential Equations en_US
dc.subject Runge-Kutta Method en_US
dc.title A Study of Single and Multi Step Methods To Solve Differential Equations en_US
dc.type Thesis en_US
dc.description.degree Master of Philosophy in Mathematics
dc.contributor.department Department of Mathematics

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