Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method
This paper explores the approximate analytical solution of non-linear Klein-Gordon equations (NKGE) by using multistep modified reduced differential transform method (MMRDTM). Through this proposed strategy, the non-linear term is substituted by associating Adomian polynomials obtained by utilizatio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vinca Inst Nuclear Sci
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/80646/ http://psasir.upm.edu.my/id/eprint/80646/1/ABSTRACT.pdf |
| _version_ | 1848858930725257216 |
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| author | Che Hussin, Che Haziqah Md Ismail, Ahmad Izani Kilicman, Adem Azmi, Amirah |
| author_facet | Che Hussin, Che Haziqah Md Ismail, Ahmad Izani Kilicman, Adem Azmi, Amirah |
| author_sort | Che Hussin, Che Haziqah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper explores the approximate analytical solution of non-linear Klein-Gordon equations (NKGE) by using multistep modified reduced differential transform method (MMRDTM). Through this proposed strategy, the non-linear term is substituted by associating Adomian polynomials obtained by utilization of a multistep
approach. The NKGE solutions can be obtained with a reduced number of computed terms. In addition, the approximate solutions converge rapidly in a wide time region. Three examples are provided to illustrate the effectiveness of the proposed method to obtain solutions for the NKGE. Graphical results are shown to represent the behavior of the solution so as to demonstrate the validity and accuracy of the MMRDTM. |
| first_indexed | 2025-11-15T12:21:16Z |
| format | Article |
| id | upm-80646 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:21:16Z |
| publishDate | 2019 |
| publisher | Vinca Inst Nuclear Sci |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-806462022-09-05T09:05:09Z http://psasir.upm.edu.my/id/eprint/80646/ Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method Che Hussin, Che Haziqah Md Ismail, Ahmad Izani Kilicman, Adem Azmi, Amirah This paper explores the approximate analytical solution of non-linear Klein-Gordon equations (NKGE) by using multistep modified reduced differential transform method (MMRDTM). Through this proposed strategy, the non-linear term is substituted by associating Adomian polynomials obtained by utilization of a multistep approach. The NKGE solutions can be obtained with a reduced number of computed terms. In addition, the approximate solutions converge rapidly in a wide time region. Three examples are provided to illustrate the effectiveness of the proposed method to obtain solutions for the NKGE. Graphical results are shown to represent the behavior of the solution so as to demonstrate the validity and accuracy of the MMRDTM. Vinca Inst Nuclear Sci 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80646/1/ABSTRACT.pdf Che Hussin, Che Haziqah and Md Ismail, Ahmad Izani and Kilicman, Adem and Azmi, Amirah (2019) Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method. Thermal Science, 23 (suppl.1). pp. 317-326. ISSN 0354-9836 http://acikerisim.gelisim.edu.tr/xmlui/handle/11363/1439?locale-attribute=en 10.2298/TSCI181015045C |
| spellingShingle | Che Hussin, Che Haziqah Md Ismail, Ahmad Izani Kilicman, Adem Azmi, Amirah Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method |
| title | Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method |
| title_full | Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method |
| title_fullStr | Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method |
| title_full_unstemmed | Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method |
| title_short | Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method |
| title_sort | analytical solutions of non-linear klein-gordon equations using multistep modified reduced differential transform method |
| url | http://psasir.upm.edu.my/id/eprint/80646/ http://psasir.upm.edu.my/id/eprint/80646/ http://psasir.upm.edu.my/id/eprint/80646/ http://psasir.upm.edu.my/id/eprint/80646/1/ABSTRACT.pdf |