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A Study on Some Integral Transforms Used in Engineering Sciences

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dc.contributor.advisor Hossain, Dr. Mohammad Arif
dc.contributor.author Mondal, Chhanda Rani
dc.date.accessioned 2018-05-22T10:09:19Z
dc.date.available 2018-05-22T10:09:19Z
dc.date.copyright 2017
dc.date.issued 2017-03
dc.identifier.other ID 1451560
dc.identifier.uri http://hdl.handle.net/20.500.12228/158
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 Science in Mathematics, March 2017. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (page 44).
dc.description.abstract Transform methods, have their great importance in the field of applied sciences especially in engineering sciences, are divided in two categories continuous and discrete, of which our matter of interest is the continuous one. To most of us, Laplace transform a member of the continuous transform category is well known and we are acquainted to solve differential equations with this important tool. The procedure of adopting a transform consists of three steps- use of the transform, algebraic manipulation and finally inversion. In case of Laplace transform the inversion with the definition is not usually an adopted one, but is a powerful tool. In this study we have rigorously handled the Laplace transform and complex inversion formula is utilized to obtain the inverse. Hankel transform, another member of the same category which has specialty in handling cylindrical coordinates with circular symmetry is also studied. It has been observed that when periodic, impulsive or similar forces are applied to a system, is is not that much difficult to obtain the solution of the system when complex inversion formula is used while Laplace transform method is used as a solving tool. Thus as a concluding remark, it has been suggested to pay proper attention to the complex inversion formula. en_US
dc.description.statementofresponsibility Chhanda Rani Mondal
dc.format.extent 45 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 Integral Transform en_US
dc.subject Laplace Transform
dc.title A Study on Some Integral Transforms Used in Engineering Sciences en_US
dc.type Thesis en_US
dc.description.degree Master of Science in Mathematics
dc.contributor.department Department of Mathematics

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