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Solving eighth-order boundary value problems using differential transformation method

In this study, we solved linear and nonlinear eighth-order boundary value problems using Differential Transformation Method. Then we calculate the error of DTM and compare the results with other methods such as modified application of the variational iteration method (MVAM), homotopy perturbation me...

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Main Authors: Che Haziqah Che Hussin, Arif Mandangan
Format: Conference or Workshop Item
Language:English
English
Published: 2014
Online Access:https://eprints.ums.edu.my/id/eprint/28960/1/Solving%20Eighth-order%20Boundary%20Value%20Problems%20Using%20Differential%20Transformation%20Method%20FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/28960/3/Solving%20Eighth-order%20Boundary%20Value%20Problems%20Using%20Differential%20Transformation%20Method%20ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/28960/
https://www.researchgate.net/publication/269695233_Solving_eighth-order_boundary_value_problems_using_differential_transformation_method
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spelling my.ums.eprints.289602021-07-31T16:27:44Z https://eprints.ums.edu.my/id/eprint/28960/ Solving eighth-order boundary value problems using differential transformation method Che Haziqah Che Hussin Arif Mandangan In this study, we solved linear and nonlinear eighth-order boundary value problems using Differential Transformation Method. Then we calculate the error of DTM and compare the results with other methods such as modified application of the variational iteration method (MVAM), homotopy perturbation method (HPM) and modified Adomian decomposition method (MADM). We compared the errors of each method with exact solutions. We provided several numerical examples in order to show the accuracy and efficiency of present method. The results showed that the DTM is more accurate in comparison with those obtained by other methods. 2014 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/28960/1/Solving%20Eighth-order%20Boundary%20Value%20Problems%20Using%20Differential%20Transformation%20Method%20FULL%20TEXT.pdf text en https://eprints.ums.edu.my/id/eprint/28960/3/Solving%20Eighth-order%20Boundary%20Value%20Problems%20Using%20Differential%20Transformation%20Method%20ABSTRACT.pdf Che Haziqah Che Hussin and Arif Mandangan (2014) Solving eighth-order boundary value problems using differential transformation method. In: 3rd International Conference on Quantitative Sciences and its Applications (ICOQSIA 2014), 12 - 14 August 2014, Langkawi, Kedah, Malaysia. https://www.researchgate.net/publication/269695233_Solving_eighth-order_boundary_value_problems_using_differential_transformation_method
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
description In this study, we solved linear and nonlinear eighth-order boundary value problems using Differential Transformation Method. Then we calculate the error of DTM and compare the results with other methods such as modified application of the variational iteration method (MVAM), homotopy perturbation method (HPM) and modified Adomian decomposition method (MADM). We compared the errors of each method with exact solutions. We provided several numerical examples in order to show the accuracy and efficiency of present method. The results showed that the DTM is more accurate in comparison with those obtained by other methods.
format Conference or Workshop Item
author Che Haziqah Che Hussin
Arif Mandangan
spellingShingle Che Haziqah Che Hussin
Arif Mandangan
Solving eighth-order boundary value problems using differential transformation method
author_facet Che Haziqah Che Hussin
Arif Mandangan
author_sort Che Haziqah Che Hussin
title Solving eighth-order boundary value problems using differential transformation method
title_short Solving eighth-order boundary value problems using differential transformation method
title_full Solving eighth-order boundary value problems using differential transformation method
title_fullStr Solving eighth-order boundary value problems using differential transformation method
title_full_unstemmed Solving eighth-order boundary value problems using differential transformation method
title_sort solving eighth-order boundary value problems using differential transformation method
publishDate 2014
url https://eprints.ums.edu.my/id/eprint/28960/1/Solving%20Eighth-order%20Boundary%20Value%20Problems%20Using%20Differential%20Transformation%20Method%20FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/28960/3/Solving%20Eighth-order%20Boundary%20Value%20Problems%20Using%20Differential%20Transformation%20Method%20ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/28960/
https://www.researchgate.net/publication/269695233_Solving_eighth-order_boundary_value_problems_using_differential_transformation_method
_version_ 1760230656750649344
score 13.211869

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