Document Details

Document Type : Thesis 
Document Title :
NUMERICAL SOLUTION OF SYSTEM OF BURGERS' EQUATIONS
الحلول العددية لنظام معادلات برجر
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : In this thesis, we find the numerical solution of the n-dimensional and coupled system of Burgers’ equations by using more efficient methods; including the Laplace transform Adomian decomposition method, the Laplace transform homotopy perturbation method, the variational iteration method, the variational iteration decomposition method, the variational iteration homotopy perturbation method and the optimal homotopy asymptotic method with Daftardar-Jafari polynomials. Many examples are examined to validate that the efficiency and accuracy of these methods and they reduce the size of computation without the restrictive assumption to handle nonlinear terms and providing the solutions rapidly. The outcome of this thesis three published papers, their details are as follows: • The Variational Homotopy Perturbation Method for Solving The ((n×n)+1) dimensional Burgers’ equations (2016). by F. A. Hendi, B. S. Kashkari and A. A. Alderremy. Journal of Applied Mathematics, 2016:6 pages 6. • Application of OHAM-DJ to the System of Burgers’ Equations.(2016). By F. A. Hendi, B. S. Kashkari and A. A. Alderremy. American Journal of Computational Mathematics, 6(03), 212. • Numerical Solutions of Three-Dimensional Coupled Burgers’ Equations by Using Some Numerical Methods. (2016) by F. A. Hendi and A. A. Alderremy. Journal of Applied Mathematics and Physics, 4, 2011-2030. doi 10.4236/ jamp.2016.411201 
Supervisor : Prof. Fatheah Ahmad Alhendi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1438 AH
2017 AD 
Co-Supervisor : Dr. Bothayna Saleh Kashkari 
Added Date : Wednesday, May 31, 2017 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
عائشه عبدالله الدريميAlderremy, Aisha AbdullahResearcherDoctorate 

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