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Approximate analytical solutions of nonlinear hyperbolic partial differential equation

The Multistep Modified Reduced Differential Transform Method (MMRDTM) is proposed and implemented in this study to obtain solutions of hyperbolic partial differential equations. We examine at the nonlinear Schrodinger equation (NLSE). Prior to implementing the multistep strategy, we switched the non...

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Main Authors: Che Haziqah Che Hussin, Suriana Lasairaya, Arif Mandangan, Darmesah Gabda
Format: Article
Language:English
English
Published: Academic Inspired Network (AIN) 2022
Subjects:
QA299.6-433 Analysis
Online Access:https://eprints.ums.edu.my/id/eprint/34808/1/FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/34808/2/ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/34808/
http://www.jised.com/PDF/JISED-2022-47-09-30.pdf
https://doi.org/10.55573/JISED.074716
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spelling my.ums.eprints.348082022-11-10T13:06:18Z https://eprints.ums.edu.my/id/eprint/34808/ Approximate analytical solutions of nonlinear hyperbolic partial differential equation Che Haziqah Che Hussin Suriana Lasairaya Arif Mandangan Darmesah Gabda QA299.6-433 Analysis The Multistep Modified Reduced Differential Transform Method (MMRDTM) is proposed and implemented in this study to obtain solutions of hyperbolic partial differential equations. We examine at the nonlinear Schrodinger equation (NLSE). Prior to implementing the multistep strategy, we switched the nonlinear term in the NLSE with the corresponding Adomian polynomials using the proposed technique. As a result, we can acquire solutions for the NLSE in a simpler and less difficult manner. Furthermore, the solutions can be estimated more precisely over a longer time period. We studied the NLS equation and graphed the features of this solution to show the strength and accurateness of the proposed technique. Academic Inspired Network (AIN) 2022 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/34808/1/FULL%20TEXT.pdf text en https://eprints.ums.edu.my/id/eprint/34808/2/ABSTRACT.pdf Che Haziqah Che Hussin and Suriana Lasairaya and Arif Mandangan and Darmesah Gabda (2022) Approximate analytical solutions of nonlinear hyperbolic partial differential equation. Journal of Islamic, Social, Economics and Development, 7. pp. 154-162. ISSN 0128-1755 http://www.jised.com/PDF/JISED-2022-47-09-30.pdf https://doi.org/10.55573/JISED.074716
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
topic QA299.6-433 Analysis
spellingShingle QA299.6-433 Analysis
Che Haziqah Che Hussin
Suriana Lasairaya
Arif Mandangan
Darmesah Gabda
Approximate analytical solutions of nonlinear hyperbolic partial differential equation
description The Multistep Modified Reduced Differential Transform Method (MMRDTM) is proposed and implemented in this study to obtain solutions of hyperbolic partial differential equations. We examine at the nonlinear Schrodinger equation (NLSE). Prior to implementing the multistep strategy, we switched the nonlinear term in the NLSE with the corresponding Adomian polynomials using the proposed technique. As a result, we can acquire solutions for the NLSE in a simpler and less difficult manner. Furthermore, the solutions can be estimated more precisely over a longer time period. We studied the NLS equation and graphed the features of this solution to show the strength and accurateness of the proposed technique.
format Article
author Che Haziqah Che Hussin
Suriana Lasairaya
Arif Mandangan
Darmesah Gabda
author_facet Che Haziqah Che Hussin
Suriana Lasairaya
Arif Mandangan
Darmesah Gabda
author_sort Che Haziqah Che Hussin
title Approximate analytical solutions of nonlinear hyperbolic partial differential equation
title_short Approximate analytical solutions of nonlinear hyperbolic partial differential equation
title_full Approximate analytical solutions of nonlinear hyperbolic partial differential equation
title_fullStr Approximate analytical solutions of nonlinear hyperbolic partial differential equation
title_full_unstemmed Approximate analytical solutions of nonlinear hyperbolic partial differential equation
title_sort approximate analytical solutions of nonlinear hyperbolic partial differential equation
publisher Academic Inspired Network (AIN)
publishDate 2022
url https://eprints.ums.edu.my/id/eprint/34808/1/FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/34808/2/ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/34808/
http://www.jised.com/PDF/JISED-2022-47-09-30.pdf
https://doi.org/10.55573/JISED.074716
_version_ 1760231344658448384
score 13.244368

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