Open Access
Numerical solutions of nonlinear time fractional Klein-Gordon equation via natural transform decomposition method and iterative Shehu transform method
Publication type: Journal Article
Publication date: 2021-12-16
scimago Q1
wos Q1
SJR: 0.986
CiteScore: 15.3
Impact factor: 11.8
ISSN: 24680133
Environmental Engineering
Oceanography
Ocean Engineering
Abstract
The time-fractional Klein-Gordon equation was analyzed in this article using the natural transform decomposition method (NTDM) and the iterative Shehu transform method (ISTM) with a singular kernel derivative. We employed natural transform (NT) and Shehu transform (ST), followed by inverse natural transform and inverse Shehu transform respectively, to obtain the solution. The numerical simulations are provided to ensure that the methods under consideration are efficient. The current framework captures the behaviour of the obtained findings for various fractional orders. The findings of this study indicate that the proposed methods are effective and reliable in analyzing fractional differential equations.
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Metrics
13
Total citations:
13
Citations from 2024:
9
(69.23%)
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Ravi Kanth A. et al. Numerical solutions of nonlinear time fractional Klein-Gordon equation via natural transform decomposition method and iterative Shehu transform method // Journal of Ocean Engineering and Science. 2021.
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Ravi Kanth A., Aruna K., Raghavendar K., Rezazadeh H., Inc M. Numerical solutions of nonlinear time fractional Klein-Gordon equation via natural transform decomposition method and iterative Shehu transform method // Journal of Ocean Engineering and Science. 2021.
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TY - JOUR
DO - 10.1016/j.joes.2021.12.002
UR - https://doi.org/10.1016/j.joes.2021.12.002
TI - Numerical solutions of nonlinear time fractional Klein-Gordon equation via natural transform decomposition method and iterative Shehu transform method
T2 - Journal of Ocean Engineering and Science
AU - Ravi Kanth, A.S.V
AU - Aruna, K.
AU - Raghavendar, K
AU - Rezazadeh, Hadi
AU - Inc, Mustafa
PY - 2021
DA - 2021/12/16
PB - Elsevier
SN - 2468-0133
ER -
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@article{2021_Ravi Kanth,
author = {A.S.V Ravi Kanth and K. Aruna and K Raghavendar and Hadi Rezazadeh and Mustafa Inc},
title = {Numerical solutions of nonlinear time fractional Klein-Gordon equation via natural transform decomposition method and iterative Shehu transform method},
journal = {Journal of Ocean Engineering and Science},
year = {2021},
publisher = {Elsevier},
month = {dec},
url = {https://doi.org/10.1016/j.joes.2021.12.002},
doi = {10.1016/j.joes.2021.12.002}
}