Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.2298/TSCI181015045C |
| Publisher: | Vinca Inst Nuclear Sci |
| Keywords: | Adomian polynomials; Multistep approach; NKGE reduced differential transform method |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 05 Sep 2022 09:05 |
| Last Modified: | 05 Sep 2022 09:05 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.2298/TSCI181015045C |
| URI: | http://psasir.upm.edu.my/id/eprint/80646 |
| Statistic Details: | View Download Statistic |
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