Approximate analytical solution for solving nonlinear Schrodinger equation
The purpose of this article is to propose and implement the Multi-step Modified Reduced Different Transform (MMRDTM) to obtain a solution of the nonlinear Schrodinger equation (NLSE). By the proposed technique, we replaced the nonlinear term of the NLSE with the equivalent Adomian polynomials prior...
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| Format: | Proceedings |
| Language: | English English |
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Pusat e-pembelajaran, UMS
2021
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| Online Access: | https://eprints.ums.edu.my/id/eprint/41612/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41612/2/FULL%20TEXT.pdf |
| _version_ | 1825715896484626432 |
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| author | Che Haziqah Che Hussin |
| author_facet | Che Haziqah Che Hussin |
| author_sort | Che Haziqah Che Hussin |
| collection | UMS |
| description | The purpose of this article is to propose and implement the Multi-step Modified Reduced Different Transform (MMRDTM) to obtain a solution of the nonlinear Schrodinger equation (NLSE). By the proposed technique, we replaced the nonlinear term of the NLSE with the equivalent Adomian polynomials prior to adopting the multi-step approach. Therefore, we can get solutions with reduced complexity for NLSEs. Furthermore, the solutions can be approximated more precisely over a more extended time period. In order to demonstrate the efficiency and accuracy of the MMRDTM, we examined examples of NLSE and graphed the features of the solutions. |
| first_indexed | 2024-12-09T00:53:04Z |
| format | Proceedings |
| id | ums.eprints-41612 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-12-09T00:53:04Z |
| publishDate | 2021 |
| publisher | Pusat e-pembelajaran, UMS |
| record_format | dspace |
| spelling | ums.eprints-416122024-10-25T01:28:11Z https://eprints.ums.edu.my/id/eprint/41612/ Approximate analytical solution for solving nonlinear Schrodinger equation Che Haziqah Che Hussin Q1-390 Science (General) QA801-939 Analytic mechanics The purpose of this article is to propose and implement the Multi-step Modified Reduced Different Transform (MMRDTM) to obtain a solution of the nonlinear Schrodinger equation (NLSE). By the proposed technique, we replaced the nonlinear term of the NLSE with the equivalent Adomian polynomials prior to adopting the multi-step approach. Therefore, we can get solutions with reduced complexity for NLSEs. Furthermore, the solutions can be approximated more precisely over a more extended time period. In order to demonstrate the efficiency and accuracy of the MMRDTM, we examined examples of NLSE and graphed the features of the solutions. Pusat e-pembelajaran, UMS 2021 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/41612/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/41612/2/FULL%20TEXT.pdf Che Haziqah Che Hussin (2021) Approximate analytical solution for solving nonlinear Schrodinger equation. https://oer.ums.edu.my/handle/oer_source_files/1874 |
| spellingShingle | Q1-390 Science (General) QA801-939 Analytic mechanics Che Haziqah Che Hussin Approximate analytical solution for solving nonlinear Schrodinger equation |
| title | Approximate analytical solution for solving nonlinear Schrodinger equation |
| title_full | Approximate analytical solution for solving nonlinear Schrodinger equation |
| title_fullStr | Approximate analytical solution for solving nonlinear Schrodinger equation |
| title_full_unstemmed | Approximate analytical solution for solving nonlinear Schrodinger equation |
| title_short | Approximate analytical solution for solving nonlinear Schrodinger equation |
| title_sort | approximate analytical solution for solving nonlinear schrodinger equation |
| topic | Q1-390 Science (General) QA801-939 Analytic mechanics |
| url | https://eprints.ums.edu.my/id/eprint/41612/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41612/2/FULL%20TEXT.pdf |
| work_keys_str_mv | AT chehaziqahchehussin approximateanalyticalsolutionforsolvingnonlinearschrodingerequation |