A Cumulative Study on Differential Transform Method

Many real-world phenomena when modelled as a differential equation don't generally have exact solutions, so their numerical or analytic solutions are sought after. Differential transform method (DTM) is one of the analytical methods that gives the solution in the form of a power series. In this...

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Main Authors: Geeta Arora, Pratiksha
Format: Article
Language:English
Published: Ram Arti Publishers 2019-02-01
Series:International Journal of Mathematical, Engineering and Management Sciences
Subjects:
Online Access:https://www.ijmems.in/assets//15-ijmems-18-070-vol.-4%2c-no.-1%2c-170%E2%80%93181%2c-2019.pdf
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author Geeta Arora
Pratiksha
author_facet Geeta Arora
Pratiksha
author_sort Geeta Arora
collection DOAJ
description Many real-world phenomena when modelled as a differential equation don't generally have exact solutions, so their numerical or analytic solutions are sought after. Differential transform method (DTM) is one of the analytical methods that gives the solution in the form of a power series. In this paper, a cumulative study is done on DTM and its evolution as an effective method to solve the gamut of differential equations.
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spelling doaj.art-abfd032ce7e94b20aaee38dde4e52ce72022-12-21T23:41:43ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492455-77492019-02-014117018110.33889/IJMEMS.2019.4.1-015A Cumulative Study on Differential Transform MethodGeeta Arora0Pratiksha1Department of Mathematics, Lovely Professional University, Phagwara, Punjab, IndiaDepartment of Mathematics, Lovely Professional University, Phagwara, Punjab, IndiaMany real-world phenomena when modelled as a differential equation don't generally have exact solutions, so their numerical or analytic solutions are sought after. Differential transform method (DTM) is one of the analytical methods that gives the solution in the form of a power series. In this paper, a cumulative study is done on DTM and its evolution as an effective method to solve the gamut of differential equations.https://www.ijmems.in/assets//15-ijmems-18-070-vol.-4%2c-no.-1%2c-170%E2%80%93181%2c-2019.pdfDifferential transform methodFractional differential equationsFractional DTM
spellingShingle Geeta Arora
Pratiksha
A Cumulative Study on Differential Transform Method
International Journal of Mathematical, Engineering and Management Sciences
Differential transform method
Fractional differential equations
Fractional DTM
title A Cumulative Study on Differential Transform Method
title_full A Cumulative Study on Differential Transform Method
title_fullStr A Cumulative Study on Differential Transform Method
title_full_unstemmed A Cumulative Study on Differential Transform Method
title_short A Cumulative Study on Differential Transform Method
title_sort cumulative study on differential transform method
topic Differential transform method
Fractional differential equations
Fractional DTM
url https://www.ijmems.in/assets//15-ijmems-18-070-vol.-4%2c-no.-1%2c-170%E2%80%93181%2c-2019.pdf
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