Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method
This paper aims to propose and implement the Multistep Modified Reduced Differential Transform Method (MMRDTM) to find solution of Nonlinear Schrodinger Equations (NLSEs). Through the proposed technique, we replaced the nonlinear term in the NLSEs by the corresponding Adomian polynomials prior apply...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
VINCA Institute of Nuclear
2018
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/73138/ http://psasir.upm.edu.my/id/eprint/73138/1/ABSTRACT.pdf |
| _version_ | 1848857240416550912 |
|---|---|
| author | Che Hussin, Che Haziqah Kilicman, Adem Azmi, Amirah |
| author_facet | Che Hussin, Che Haziqah Kilicman, Adem Azmi, Amirah |
| author_sort | Che Hussin, Che Haziqah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper aims to propose and implement the Multistep Modified Reduced Differential Transform Method (MMRDTM) to find solution of Nonlinear Schrodinger Equations (NLSEs). Through the proposed technique, we replaced the nonlinear term in the NLSEs by the corresponding Adomian polynomials prior applying the multistep approach. Thus, we can obtain solutions for the NLSEs in easier way with less complexity. In addition, the solutions can be approximated more accurately over a longer time frame. We considered several NLSEs and illustrate the features of these solutions in the form of
graphs in order to show the power and accuracy of the MMRDTM. |
| first_indexed | 2025-11-15T11:54:24Z |
| format | Article |
| id | upm-73138 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:54:24Z |
| publishDate | 2018 |
| publisher | VINCA Institute of Nuclear |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-731382022-09-06T07:23:40Z http://psasir.upm.edu.my/id/eprint/73138/ Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method Che Hussin, Che Haziqah Kilicman, Adem Azmi, Amirah This paper aims to propose and implement the Multistep Modified Reduced Differential Transform Method (MMRDTM) to find solution of Nonlinear Schrodinger Equations (NLSEs). Through the proposed technique, we replaced the nonlinear term in the NLSEs by the corresponding Adomian polynomials prior applying the multistep approach. Thus, we can obtain solutions for the NLSEs in easier way with less complexity. In addition, the solutions can be approximated more accurately over a longer time frame. We considered several NLSEs and illustrate the features of these solutions in the form of graphs in order to show the power and accuracy of the MMRDTM. VINCA Institute of Nuclear 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73138/1/ABSTRACT.pdf Che Hussin, Che Haziqah and Kilicman, Adem and Azmi, Amirah (2018) Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method. COMPUSOFT: An International Journal of Advanced Computer Technology, 7 (11). 2939 - 2944. ISSN 2320-0790 https://www.proquest.com/openview/e9e32aa1e627a81fac5ecbebfee055ad/1?pq-origsite=gscholar&cbl=2032622 |
| spellingShingle | Che Hussin, Che Haziqah Kilicman, Adem Azmi, Amirah Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method |
| title | Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method |
| title_full | Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method |
| title_fullStr | Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method |
| title_full_unstemmed | Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method |
| title_short | Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method |
| title_sort | analytical solutions of nonlinear schrodinger equations using multistep modified reduced differential transform method |
| url | http://psasir.upm.edu.my/id/eprint/73138/ http://psasir.upm.edu.my/id/eprint/73138/ http://psasir.upm.edu.my/id/eprint/73138/1/ABSTRACT.pdf |