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Search Results: 1 - 10 of 461879 matches for " Fathiah A. Hendi "
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Numerical Solutions of the Regularized Long-Wave (RLW) Equation Using New Modification of Laplace-Decomposition Method  [PDF]
Nawal A. Al-Zaid, Huda O. Bakodah, Fathiah A. Hendi
Advances in Pure Mathematics (APM) , 2013, DOI: 10.4236/apm.2013.31A022

In this paper the new modification of Laplace Adomian decomposition method (ADM) to obtain numerical solution of the regularized long-wave (RLW) equation is presented. The performance of the method is illustrated by solving two test examples of the problem. To see the accuracy of the method, L2 and L error norms are calculated.

-Stable Higher Derivative Methods with Minimal Phase-Lag for Solving Second Order Differential Equations
Fatheah A. Hendi
Journal of Applied Mathematics , 2011, DOI: 10.1155/2011/407151
Abstract: Some new higher algebraic order symmetric various-step methods are introduced. For these methods a direct formula for the computation of the phase-lag is given. Basing on this formula, calculation of free parameters is performed to minimize the phase-lag. An explicit symmetric multistep method is presented. This method is of higher algebraic order and is fitted both exponentially and trigonometrically. Such methods are needed in various branches of natural science, particularly in physics, since a lot of physical phenomena exhibit a pronounced oscillatory behavior. Many exponentially-fitted symmetric multistepmethods for the second-order differential equation are already developed. The stability properties of several existing methods are analyzed, and a new -stable method is proposed, to establish the existence of methods to which our definition applies and to demonstrate its relevance to stiff oscillatory problems. The work is mainly concerned with two-stepmethods but extensions tomethods of larger step-number are also considered. To have an idea about its accuracy, we examine their phase properties. The efficiency of the proposed method is demonstrated by its application to well-known periodic orbital problems. The new methods showed better stability properties than the previous ones. 1. Introduction In the recent years, there is much activity concerned with the numerical solution of the of the type where is a function in which the first derivative does not appear explicitly. In addition the function also satisfies the Lipschitz condition of the first order with respect to . There are two main groups of methods for the numerical solution of the form given in (1.1) with periodic of an oscillatory solutions, see [1–3]. The first consists of methods in which the coefficients that determine the numerical schemes depend on the particular problem to be solved. The second consists of methods with constant coefficients. These are of great interest in many applications such as orbital mechanics, theoretical physics, and electronics. Numerous second-category numerical techniques have been obtained for the solution of (1.1). Methods of this category must be -stable, and this applies especially on the problem which has highly oscillatory solutions. The -stability property was first introduced by Awoyemi [1]. On the other hand, sixth-order -stable methods are obtained in Cash et al. [4]. An important contribution for these methods is shown in Hairer and Wanner [5] where the lower-order -stable methods are developed. Indeed, standard numerical methods may require
International Journal of Research and Reviews in Applied Sciences , 2010,
Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations  [PDF]
M. Almazmumy, F. A. Hendi, H. O. Bakodah, H. Alzumi
American Journal of Computational Mathematics (AJCM) , 2012, DOI: 10.4236/ajcm.2012.23030
Abstract: In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are applied to the problem. The effectiveness of the each modified is verified by several examples.
Analytic Solution for MHD Falkner-Skan Flow over a Porous Surface
Fatheah A. Hendi,Majid Hussain
Journal of Applied Mathematics , 2012, DOI: 10.1155/2012/123185
Abstract: This paper discusses the MHD Falkner-Skan flow over a porous surface. The solution to nonlinear problem is first constructed and analyzed for the emerging parameters
Entropic Corrections to Einstein Equations
S. H. Hendi,A. Sheykhi
Physics , 2010, DOI: 10.1103/PhysRevD.83.084012
Abstract: Considering the general quantum corrections to the area law of black hole entropy and adopting the viewpoint that gravity interprets as an entropic force, we derive the modified forms of MOND theory of gravitation and Einstein field equations. As two special cases we study the logarithmic and power-law corrections to entropy and find the explicit form of the obtained modified equations.
Novel Data Fusion Approach for Drowsiness Detection
A. Hussain,B. Bais,S. A. Samad,S. Farshad Hendi
Information Technology Journal , 2008,
Abstract: In this research, a novel method employing the fusion technique of data in and feature out for determining the wake to sleep transition and vice versa is described. Inputs of the process are the Electrooculogram (EOG) and Head Nodding (HN) signals. The method involves a direct fusion of two pairs of signals consisting of the combination of EOG and head nodding signals to generate three new sets of data in the form of Lissajous-like plots. These Lissajous-like plots are further analyzed to extract the feature vector to represent the two states of awake and asleep. In turn, the extracted feature set is used to determine the state of alertness and/or sleepiness. The effectiveness of the derived feature vector from the fusion approach is evaluated and compared against the non-fusion based method. Results show that the fusion based approach fared better than the non-fusion method. This has implications for the application of the developed method in determining driver drowsiness.
T-helper 1 Immune Response in Systemic Lupus Erythematosus and its Relation to Disease Activity
T Ghonemy, E Salim, Y Al-Hendi, A Okely
Arab Journal of Nephrology and Transplantation , 2009,
Abstract: Introduction: Systemic lupus erythematosus (SLE) is a prototypic systemic autoimmune disease characterized by various immunological abnormalities, including dysregulated activation of both T and B lymphocytes. The etiology of this immunological disorder has not been clearly elucidated. Aberrant production and imbalance of T-helper (Th) cell cytokines have been implicated in the pathogenesis of autoimmunity. The aim of this study is to evaluate the level of Th1 cytokines interleukin-18 (IL-18) and osteopontin (OPN) in SLE patients and their correlation with the disease activity. Methods: The study included 24 patients with SLE and 20 age- and sex- matched control subjects. The disease activity was evaluated with the SLE disease activity index (SLEDAI). Plasma OPN and IL-18 concentrations were measured in patients and control groups using an enzyme linked immunosorbent assay. Results: Plasma OPN and IL-18 concentrations were significantly higher in SLE patients than in the control group (P < 0.001). OPN and IL-18 concentrations correlated positively and significantly with SLEDAI scores in SLE patients (r = 0.831, P < 0.001 and r = 0.826, P < 0.001 respectively). In addition, there was a highly significant positive correlation between OPN and IL-18 levels (r = 0.75, P < 0.001). Conclusion: The circulating IL-18 and OPN concentrations were significantly elevated in SLE patients and correlated with the SLEDAI score. This suggests a crucial role for Th1 cytokines in the inflammatory processes and tissue damage in SLE disease. Both cytokines my act as potential disease markers for monitoring of SLE disease activity and therapeutic efficacy.
A Mathematical Model for Studying the Slip Effect on Peristaltic Motion with Heat and Mass Transfer

Tasawar Hayat,Najma Saleem,Awatif A Hendi,

中国物理快报 , 2011,
Heat Transfer Analysis for Peristaltic Mechanism in Variable Viscosity Fluid

T Hayat,F M Abbasi,Awatif A Hendi,

中国物理快报 , 2011,
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