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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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
2014
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| 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 |
| _version_ | 1825714205086449664 |
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| author | Che Haziqah Che Hussin Arif Mandangan |
| author_facet | Che Haziqah Che Hussin Arif Mandangan |
| author_sort | Che Haziqah Che Hussin |
| collection | UMS |
| 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. |
| first_indexed | 2024-03-06T03:08:20Z |
| format | Conference or Workshop Item |
| id | ums.eprints-28960 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:08:20Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Che Haziqah Che Hussin Arif Mandangan Solving eighth-order boundary value problems using differential transformation method |
| title | 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_short | Solving eighth-order boundary value problems using differential transformation method |
| title_sort | solving eighth order boundary value problems using differential transformation method |
| 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 |
| work_keys_str_mv | AT chehaziqahchehussin solvingeighthorderboundaryvalueproblemsusingdifferentialtransformationmethod AT arifmandangan solvingeighthorderboundaryvalueproblemsusingdifferentialtransformationmethod |