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- Fadi Awawdeh
- 2008

In this paper, an iterative scheme based on the homotopy analysis method (HAM) has been used to solve nonlinear integral equations. To check the numerical method, it is applied to solve different test problems with known exact solutions and the numerical solutions obtained confirm the validity of the numerical method and suggest that it is an interesting… (More)

During the sixties, the notion of 2-metric space introduced by Gähler see 1, 2 as a generalization of usual notion ofmetric space X, d . But different authors proved that there is no relation between these two functions, for instance, Ha et al. in 3 show that 2-metric need not be continuous function, further there is no easy relationship between results… (More)

- Fadi Awawdeh
- Numerical Algorithms
- 2009

Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Analysis Method (HAM) to derive a family of iterative methods for solving systems of nonlinear algebraic equations. Our approach yields second and third order iterative methods which… (More)

In this paper, we investigate the accuracy of the Homotopy Analysis Method (HAM) for solving the problem of the spread of a non-fatal disease in a population. The advantage of this method is that it provides a direct scheme for solving the problem, i.e., without the need for linearization, perturbation, massive computation and any transformation.… (More)

- Fadi Awawdeh
- Applied Mathematics and Computation
- 2012

In this paper, the Zakharov–Kuznetsov equation which describes the propagation of the electrostatic excitations in the electron–positron–ion (e–p–i) plasmas are investigated. New exact solitary wave solutions are obtained using Hirota’s bilinear method and generalized three-wave type of ansatz approach. These new exact solutions will enrich previous results… (More)

This paper deals with an identification problem for degenerate parabolic equations. The problem consists of recovering a source term from the knowledge of an additional observation of the solution by exploiting some accessible measurements. Existence, uniqueness and continuous dependence results are proved for the problem. Applications to the source… (More)

This paper is focused on deriving an explicit analytical solution for the prediction of the electrostatic potential, commonly used on electrokinetic research and its related applications. Different from all other analytic techniques, this approach provides a simple way to ensure the convergence of series of solution so that one can always get accurate… (More)

In this paper, we establish existence and uniqueness of solutions for a class of inverse problems of degenerate differential equations. The main tool is the perturbation theory for linear operators. Keywords—Inverse Problem, Degenerate Differential Equations, Perturbation Theory for Linear Operators

- Fadi Awawdeh, Ahmad Adawi, Safwan Al-Shara'
- JAMDS
- 2008

where λ, μ1, μ2, . . . , μk, y0 ∈ C, has been studied by numerous authors e.g., 1–8 . Secondorder versions of this equation have also been studied e.g., 9, 10 . The enduring interest in this equation is due partially to the number of applications it has found such as a current collection system for an electric locomotive, cell growth models, biology,… (More)

- Fadi Awawdeh, AK Alomari, Ibraheem Abu-Falahah
- 2017

We consider degenerate identification problems with smoothing overdetermination in abstract spaces. We establish an identifiability result using a projection method and suitable hypotheses on the operators involved and develop an identification method by reformulating the problem into a nondegenerate problem. Then we use perturbation results for linear… (More)