Browsing AUS Theses & Dissertations by Author "73c7d5e9-8cfc-49bd-b399-f2a1d2555f0b"
Now showing items 1-6 of 6
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Iterative Methods for the Numerical Solutions of Boundary Value Problems
Abushammala, Mariam B. H. (2014-06)The aim of this thesis is twofold. First of all, in Chapters 1 and 2, we review the well-known Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM) for obtaining exact and numerical solutions for ... -
Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications
Rabah, Fatima H. (2022-06)In this thesis, we investigate the numerical solution of fractional differential equations subject to initial and boundary conditions. For the solution of such equations, we use two iterative approaches. First, we apply ... -
Solution of Fractional Differential Equations: Transform and Iterative Methods Approach
Alchikh, Razan Abdul Satar (2019-12)Fractional calculus is a novel and highly active area of research in the literature as it has a wide spectrum of applications in the physical sciences and engineering. In this thesis, we study the numerical solution of ... -
Solution of Fractional Differential Equations: Variational Iteration Approach
Assadi, Reem Amer (2019-12)This thesis discusses a newly introduced numerical scheme for fractional differential equations. The strategy is an extension of the Variational Iteration Method (VIM) and is suitable for boundary value problems (BVPs). ... -
Solving Fourth Order Differential Non-Linear Equations, Existence and Uniqueness
Malbanji, Amer Mahmoud (2017-05)The aim of this thesis is to present a novel numerical approach for the solution of a class of non-linear fourth-order boundary value problems. The method is based on embedding Green's function into some fixed point iteration ... -
Solving The 2D Biharmonic Equation: A Numerical Approach Based On Spline Collocation
Alkafri, Heba Qasim (2016-07)In this thesis, several numerical methods, that are based on spline basis functions, are suggested for the solution of a general class of fourth order boundary value problems. In particular, The two-dimensional biharmonic ...