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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...

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Main Authors: Che Hussin, Che Haziqah, Md Ismail, Ahmad Izani, Kilicman, Adem, Azmi, Amirah
Format: Article
Language:English
Published: Vinca Inst Nuclear Sci 2019
Online Access:http://psasir.upm.edu.my/id/eprint/80646/1/ABSTRACT.pdf
http://psasir.upm.edu.my/id/eprint/80646/
http://acikerisim.gelisim.edu.tr/xmlui/handle/11363/1439?locale-attribute=en
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Che Hussin, Che Haziqah
Md Ismail, Ahmad Izani
Kilicman, Adem
Azmi, Amirah
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
author_facet Che Hussin, Che Haziqah
Md Ismail, Ahmad Izani
Kilicman, Adem
Azmi, Amirah
author_sort Che Hussin, Che Haziqah
title 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_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_sort analytical solutions of non-linear klein-gordon equations using multistep modified reduced differential transform method
publisher Vinca Inst Nuclear Sci
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/80646/1/ABSTRACT.pdf
http://psasir.upm.edu.my/id/eprint/80646/
http://acikerisim.gelisim.edu.tr/xmlui/handle/11363/1439?locale-attribute=en
_version_ 1744355302383288320
score 13.211869

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