Majeed Ahmed AL-Jawary

Bio: Majeed Ahmed AL-Jawary is an academic researcher from University of Baghdad. The author has contributed to research in topics: Iterative method & Nonlinear system. The author has an hindex of 7, co-authored 19 publications receiving 125 citations.

Analytical and numerical solutions for the nonlinear Burgers and advection–diffusion equations by using a semi-analytical iterative method

Abstract: In this paper, exact solutions have been obtained for 1D, 2D and 3D nonlinear Burgers’ equations and systems of equations by implementing an accurate semi-analytical method. This method, originally proposed by Temimi and Ansari and herein named TAM, proved to be efficient and reliable for solving different types of linear and nonlinear problems. This method is characterized by not requiring any restrictive assumptions for the nonlinear terms. The convergence of the method is successfully presented and mathematically proved. In addition, the advection–diffusion equation is also solved by using the TAM to demonstrate the efficiency of this method. Several examples are solved either analytically or numerically, where the accuracy of the numerical solution has been demonstrated by evaluating the absolute and relative errors to show the accuracy of the proposed method. The software used in the current work is Mathematica®10.

Analytic and numerical solution for duffing equations

Abstract: Daftardar Gejji and Hossein Jafari have proposed a new iterative method for solving many of the linear and nonlinear equations namely (DJM). This method proved already the effectiveness in solved many of the ordinary differential equations, partial differential equations and integral equations. The main aim from this paper is to propose the Daftardar-Jafari method (DJM) to solve the Duffing equations and to find the exact solution and numerical solutions. The proposed (DJM) is very effective and reliable, and the solution is obtained in the series form with easily computed components. The software used for the calculations in this study was MATHEMATICA ® 9.0.

Daftardar-Jafari method for solving nonlinear thin film flow problem

Abstract: The aim of this paper is to develop the Daftardar-Jafari iterative method (DJM) for a mathematical model that represents the nonlinear thin film flow of a non-Newtonian third-grade fluid on a movin...

Boundary Layer Theory

Abstract: The boundary layer equations for plane, incompressible, and steady flow are $$\matrix{ {u{{\partial u} \over {\partial x}} + v{{\partial u} \over {\partial y}} = - {1 \over \varrho }{{\partial p} \over {\partial x}} + v{{{\partial ^2}u} \over {\partial {y^2}}},} \cr {0 = {{\partial p} \over {\partial y}},} \cr {{{\partial u} \over {\partial x}} + {{\partial v} \over {\partial y}} = 0.} \cr }$$

A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis

Abstract: The present work considers the approximation of solutions of a type of fractional-order Volterra–Fredholm integro-differential equations, where the fractional derivative is introduced in Caputo sen...

The New Combination of Semi-Analytical Iterative Method and Elzaki Transform for Solving Some Korteweg-de Vries Equations

Abstract: The purpose of this research applied a method that includes the combination of an iterative method (Temimi and Ansari method (TAM)) and a new transform called the Elzaki transform (ET )for some Korteweg-de Vries (Kdv) equations. The TAM was present as a basic tool for solving Kdv equations with Elzaki transformation in the associated nonlinear equations because the Elzaki transformation cannot deal with nonlinear terms. It has been proven that the use of this method can be more reliable, accurate and fast if it has been using analytical methods alone.

Stability Analysis of a Parametric Duffing Oscillator

Abstract: The Duffing oscillator represents an important example to describe, mathematically, the nonlinear behavior of several phenomena in physics and engineering. In view of its diverse applicatio...