Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System

Saad A. Manaa(1) , Nergiz M. Mosa(2)
(1) Dept. of Mathematics, Faculty of Science, University of Zakho, Kurdistan Region- Iraq ,
(2) Dept. of Mathematics, College of Basic Educations, University of Duhok, Kurdistan Region-Iraq
https://doi.org/10.25271/sjuoz.2019.7.3.582

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Science Journal of University of Zakho
Issue
Vol. 7 No. 3 (2019): 30, September 2019
Submitted
April 20, 2019
Accepted
July 10, 2019
Published
September 30, 2019
Keywords:
    Adomian Decomposition Method (ADM), Successive Approximation Method (SAM), Kaup-Boussinesq System (KB)
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Abstract

The Kaup-Boussinesq system has been solved numerically by using two methods, Successive approximation method (SAM) and Adomian decomposition method (ADM). Comparison between the two methods has been made and both can solve this kind of problems, also both methods are accurate and has faster convergence. The comparison showed that the Adomian decomposition method much more accurate than Successive approximation method.

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Authors

Saad A. Manaa
saad.manaa@uoz.edu.krd (Primary Contact)
Nergiz M. Mosa
Author Biographies

Saad A. Manaa

Dept. of Mathematics, Faculty of Science, University of Zakho, Kurdistan Region- Iraq (saad.manaa@uoz.edu.krd)

Nergiz M. Mosa

Dept. of Mathematics, College of Basic Educations, University of Duhok, Kurdistan Region-Iraq

Manaa, S. A., & Mosa, N. M. (2019). Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System. Science Journal of University of Zakho, 7(3), 101-107. https://doi.org/10.25271/sjuoz.2019.7.3.582
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Copyright (c) 2019 Saad A. Manaa, Nergiz M. Mosa

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How to Cite

Manaa, S. A., & Mosa, N. M. (2019). Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System. Science Journal of University of Zakho, 7(3), 101-107. https://doi.org/10.25271/sjuoz.2019.7.3.582

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