A. A. Salama

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In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional BurgersÕ equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with most of the existing numerical methods for solving this(More)
We discuss extended one-step methods of order three for the numerical solution of delay-differential equations. A convergence theorem and the numerical studies regarding the convergence factor of these methods are given. Also, we investigate the stability properties of these methods. The results of the theoretical studies are illustrated by numerical(More)
We derive a class of extended one-step methods of order m for solving delay-differential equations. This class includes methods of fourth and fifth order of accuracy. Also, the class of these methods depends on two free parameters. A convergence theorem and convergence factor of these methods are given. In addition, we investigate the stability properties(More)
—This paper presents an approach for underdeter-mined blind source separation in the case of additive Gaussian white noise and pink noise. Likewise, the proposed approach is applicable in the case of separating I + 3 sources from I mixtures with additive two kinds of noises. This situation is more challenging and suitable to practical real world problems.(More)
BACKGROUND Polycystic ovary syndrome (PCOS) is of clinical and public health importance, affecting up to one in five women of reproductive age. It has significant and diverse clinical implications including reproductive, metabolic, and psychological features. AIM The study was to investigate the effect of anti-inflammatory dietary combo on metabolic,(More)
—This paper presents an approach for underdeter-mined blind source separation that can be applied even if the number of sources is unknown. Moreover, the proposed approach is applicable in the case of separating I+3 sources from I mixtures without additive noise. This situation is more challenging and suitable to practical real world problems. Also, the(More)