A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method

A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method

In this article, we applied a new technique for solving the time-fractional coupled Korteweg-de Vries (KdV) equation. This method is a combination of the natural transform method with the Adomian decomposition method called the natural decomposition method (NDM). The solutions have been made in a co...

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Main Authors: Mohamed Elbadri, Shams A. Ahmed, Yahya T. Abdalla, Walid Hdidi
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/3950816
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spelling doaj-dfed0a13e1eb4e3092d222e3c27933be2020-11-25T03:52:09ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/39508163950816A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition MethodMohamed Elbadri0Shams A. Ahmed1Yahya T. Abdalla2Walid Hdidi3Department of Mathematics, Faculty of Sciences and Arts, Jouf University, Tubarjal, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences and Arts, Jouf University, Tubarjal, Saudi ArabiaPreparatory Year, University of Prince Mugrin, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences and Arts, Jouf University, Tubarjal, Saudi ArabiaIn this article, we applied a new technique for solving the time-fractional coupled Korteweg-de Vries (KdV) equation. This method is a combination of the natural transform method with the Adomian decomposition method called the natural decomposition method (NDM). The solutions have been made in a convergent series form. To demonstrate the performances of the technique, two examples are provided.http://dx.doi.org/10.1155/2020/3950816
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Elbadri
Shams A. Ahmed
Yahya T. Abdalla
Walid Hdidi
spellingShingle Mohamed Elbadri
Shams A. Ahmed
Yahya T. Abdalla
Walid Hdidi
A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method
Abstract and Applied Analysis
author_facet Mohamed Elbadri
Shams A. Ahmed
Yahya T. Abdalla
Walid Hdidi
author_sort Mohamed Elbadri
title A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method
title_short A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method
title_full A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method
title_fullStr A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method
title_full_unstemmed A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method
title_sort new solution of time-fractional coupled kdv equation by using natural decomposition method
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2020-01-01
description In this article, we applied a new technique for solving the time-fractional coupled Korteweg-de Vries (KdV) equation. This method is a combination of the natural transform method with the Adomian decomposition method called the natural decomposition method (NDM). The solutions have been made in a convergent series form. To demonstrate the performances of the technique, two examples are provided.
url http://dx.doi.org/10.1155/2020/3950816
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