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

Saad A. Manaa; Nergiz M. Mosa

doi:10.25271/sjuoz.2019.7.3.582

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Published: 2019-09-30

DOI: https://doi.org/10.25271/sjuoz.2019.7.3.582

Keywords:

Adomian Decomposition Method (ADM), Successive Approximation Method (SAM), Kaup-Boussinesq System (KB)

Saad A. Manaa

Dept. of Mathematics, Faculty of Science, University of Zakho, Kurdistan Region- Iraq

Nergiz M. Mosa

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

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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Issue

Vol. 7 No. 3 (2019): 30, September 2019

Section

Science Journal of University of Zakho

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Author Biographies

Saad A. Manaa, Dept. of Mathematics, Faculty of Science, University of Zakho, Kurdistan Region- Iraq

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

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

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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