MODIFIED COMPUTATIONAL METHOD BASED ON INTEGRAL TRANSFORM FOR SOLVING FRACTIONAL ZAKHAROV-KUZNETSOV EQUATIONS

Muhammad Amin Sadiq Murad (), Mudhafar Hamed Hamadamen and Sadeq Taha Abdulazeez
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Muhammad Amin Sadiq Murad: Department of Mathematics, College of Science, University of Duhok, Duhok, Iraq
Mudhafar Hamed Hamadamen: Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq
Sadeq Taha Abdulazeez: Department of Mathematics, College of Basic Education, University of Duhok, Duhok, Iraq

Matrix Science Mathematic (MSMK), 2023, vol. 7, issue 1, 01-06

Abstract: This work proposes a new computational method, namely the He-Elzaki transform method (HETM) formulated by He’s variation iteration method and modified Laplace transform called Elzaki integral transform to solve nonlinear fractional Zakharov-Kuznetsov equations. The fractional derivatives are described by Caputo sense. The beauty of this technique is that one has no need to evaluate the Lagrange multiplier by integration or taking the convolution theorem. The suggested method is implemented on two examples and the results obtained are compared with those of the Variation iteration method (VIM), homotopy perturbation transform method (HPTM), and new iteration Sumudu transform method (NISTM), and optimum homotopy analysis method (OHAM). The innovative computational technique is an efficient high accurate method and facilitates solving fractional differential equations.

Keywords: Fractional Zakharov–Kuznetsov; Variation Iteration Method; Elzaki Integral Transform (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:7:y:2023:i:1:p:01-06

DOI: 10.26480/msmk.01.2023.01.06

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