Multistep reduced differential transform method in solving nonlinear schrodinger equations
This paper obtains semi-analytical solutions for the nonlinear Schrodinger equations (NLSEs) using the multistep reduced differential transform method (MsRDTM). The implemented method yields an analytical approximate solution over a longer time frame, in which the method applied is treated as an alg...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
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Penerbit Akademia Baru
2024
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| Online Access: | https://eprints.ums.edu.my/id/eprint/41012/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41012/2/FULL%20TEXT.pdf |
| _version_ | 1825715792732225536 |
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| author | Abdul Rahman Farhan Sabdin Che Haziqah Che Hussin Jumat Sulaiman Arif Mandangan |
| author_facet | Abdul Rahman Farhan Sabdin Che Haziqah Che Hussin Jumat Sulaiman Arif Mandangan |
| author_sort | Abdul Rahman Farhan Sabdin |
| collection | UMS |
| description | This paper obtains semi-analytical solutions for the nonlinear Schrodinger equations (NLSEs) using the multistep reduced differential transform method (MsRDTM). The implemented method yields an analytical approximate solution over a longer time frame, in which the method applied is treated as an algorithm in a sequence of small sub-division of intervals of identical length compared to the traditional reduced differential transform method (RDTM). Excluding the need of perturbation, linearization, or discretization, this method offers the benefit and reliability of the multistep algorithm. The outcomes show that the MsRDTM generated highly accurate solutions of NLSEs than the RDTM. In addition, the results show that the suggested method is straightforward to use, saves a significant amount of computing work when solving NLSEs, and has potential for broad application in other complex partial differential equations (PDEs) in the fields of engineering and science. The accuracy of the method is shown through the tables and graphical illustrations provided. |
| first_indexed | 2024-09-24T00:52:48Z |
| format | Article |
| id | ums.eprints-41012 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-09-24T00:52:48Z |
| publishDate | 2024 |
| publisher | Penerbit Akademia Baru |
| record_format | dspace |
| spelling | ums.eprints-410122024-09-09T03:23:55Z https://eprints.ums.edu.my/id/eprint/41012/ Multistep reduced differential transform method in solving nonlinear schrodinger equations Abdul Rahman Farhan Sabdin Che Haziqah Che Hussin Jumat Sulaiman Arif Mandangan QA1-939 Mathematics QA299.6-433 Analysis QC1-75 General This paper obtains semi-analytical solutions for the nonlinear Schrodinger equations (NLSEs) using the multistep reduced differential transform method (MsRDTM). The implemented method yields an analytical approximate solution over a longer time frame, in which the method applied is treated as an algorithm in a sequence of small sub-division of intervals of identical length compared to the traditional reduced differential transform method (RDTM). Excluding the need of perturbation, linearization, or discretization, this method offers the benefit and reliability of the multistep algorithm. The outcomes show that the MsRDTM generated highly accurate solutions of NLSEs than the RDTM. In addition, the results show that the suggested method is straightforward to use, saves a significant amount of computing work when solving NLSEs, and has potential for broad application in other complex partial differential equations (PDEs) in the fields of engineering and science. The accuracy of the method is shown through the tables and graphical illustrations provided. Penerbit Akademia Baru 2024 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/41012/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/41012/2/FULL%20TEXT.pdf Abdul Rahman Farhan Sabdin and Che Haziqah Che Hussin and Jumat Sulaiman and Arif Mandangan (2024) Multistep reduced differential transform method in solving nonlinear schrodinger equations. Journal of Advanced Research in Applied Sciences and Engineering Technology, 44 (2). pp. 1-12. ISSN 2462-1943 https://doi.org/10.37934/araset.44.2.112123 |
| spellingShingle | QA1-939 Mathematics QA299.6-433 Analysis QC1-75 General Abdul Rahman Farhan Sabdin Che Haziqah Che Hussin Jumat Sulaiman Arif Mandangan Multistep reduced differential transform method in solving nonlinear schrodinger equations |
| title | Multistep reduced differential transform method in solving nonlinear schrodinger equations |
| title_full | Multistep reduced differential transform method in solving nonlinear schrodinger equations |
| title_fullStr | Multistep reduced differential transform method in solving nonlinear schrodinger equations |
| title_full_unstemmed | Multistep reduced differential transform method in solving nonlinear schrodinger equations |
| title_short | Multistep reduced differential transform method in solving nonlinear schrodinger equations |
| title_sort | multistep reduced differential transform method in solving nonlinear schrodinger equations |
| topic | QA1-939 Mathematics QA299.6-433 Analysis QC1-75 General |
| url | https://eprints.ums.edu.my/id/eprint/41012/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41012/2/FULL%20TEXT.pdf |
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