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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Academic Inspired Network (AIN)
2022
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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 |
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QA299.6-433 Analysis Che Haziqah Che Hussin Suriana Lasairaya Arif Mandangan Darmesah Gabda Approximate analytical solutions of nonlinear hyperbolic partial differential equation |
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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. |
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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 |
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Academic Inspired Network (AIN) |
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2022 |
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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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