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 https://eprints.ums.edu.my/id/eprint/41612/ https://oer.ums.edu.my/handle/oer_source_files/1874 |
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| Summary: | 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. |
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