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Mohamed I. Nouh

Bio: Mohamed I. Nouh is an academic researcher from Northern Borders University. The author has contributed to research in topics: Light curve & Polytropic process. The author has an hindex of 8, co-authored 79 publications receiving 275 citations.


Papers
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Journal ArticleDOI
TL;DR: In this paper, a power series solution for the Lane-Emden equation has been developed, and a recurrence relation for the coefficients a k in the power series expansion θ ( x ) = ∑ a k x k of the solution of the LANE is constructed.

66 citations

Journal ArticleDOI
TL;DR: A computational approach to solve the problems related to fractional Lane–Emden differential equations based on neural networks based on artificial neural network (ANN) framework in its feed-forward back-propagation learning scheme.
Abstract: Lane–Emden differential equations describe different physical and astrophysical phenomena that include forms of stellar structure, isothermal gas spheres, gas spherical cloud thermal history, and thermionic currents. This paper presents a computational approach to solve the problems related to fractional Lane–Emden differential equations based on neural networks. Such a solution will help solve the fractional polytropic gas spheres problems which have different applications in physics, astrophysics, engineering, and several real-life issues. We used artificial neural network (ANN) framework in its feed-forward back-propagation learning scheme. The efficiency and accuracy of the presented algorithm are checked by testing it on four fractional Lane–Emden equations and compared with the exact solutions for the polytropic indices n = 0,1,5 and those of the series expansions for the polytropic index n = 3. The results we obtained prove that using the ANN method is feasible and accurate and may outperform other methods.

17 citations

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TL;DR: In this paper, a photometric solution of these light curves was obtained by means of the Wilson-Devinney (WD) code and a spotted model was applied to treat the asymmetry of the light curve.

16 citations

Journal ArticleDOI
TL;DR: In this paper, the authors applied a spotted model to treat the asymmetry of the light curve and showed that the more massive component is cooler than the less massive component with Δ T ∼ 100 K.

16 citations

Journal ArticleDOI
TL;DR: Using the fractal index technique and the power series expansion, this article solved the spherical isothermal Lane-Emden equation involving the modified Riemann-Liouville derivative, and showed that the series converges over the range of radii 0≤x < 2200 for a wide spread of values for the fractional parameter α.
Abstract: The spherical isothermal Lane-Emden equation is a second-order nonlinear differential equation that models many configurations in astrophysics. Using the fractal index technique and the power series expansion, we solve the fractional Lane-Emden equation involving the modified Riemann-Liouville derivative. The results indicate that the series converges over the range of radii 0≤x< 2200 for a wide spread of values for the fractional parameter α. Comparison with the numerical solution reveals good agreement with a maximum relative error of 0.05.

14 citations


Cited by
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[...]

08 Dec 2001-BMJ
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality. Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

33,785 citations

Journal ArticleDOI
TL;DR: The formation and evolution of compact binary stars consisting of white dwarfs, neutron stars, and black holes are reviewed, including their role as progenitors of cosmologically-important thermonuclear SN Ia and AM CVn-stars, which are thought to be the best verification binary GW sources for future low-frequency GW space interferometers.
Abstract: We review the formation and evolution of compact binary stars consisting of white dwarfs (WDs), neutron stars (NSs), and black holes (BHs). Mergings of compact-star binaries are expected to be the most important sources for forthcoming gravitational-wave (GW) astronomy. In the first part of the review, we discuss observational manifestations of close binaries with NS and/or BH components and their merger rate, crucial points in the formation and evolution of compact stars in binary systems, including the treatment of the natal kicks, which NSs and BHs acquire during the core collapse of massive stars and the common envelope phase of binary evolution, which are most relevant to the merging rates of NS-NS, NS-BH and BH-BH binaries. The second part of the review is devoted mainly to the formation and evolution of binary WDs and their observational manifestations, including their role as progenitors of cosmologically-important thermonuclear SN Ia. We also consider AM CVn-stars, which are thought to be the best verification binary GW sources for future low-frequency GW space interferometers.

437 citations

Journal ArticleDOI
TL;DR: In this article, a variational iteration method was used to solve the Lane-Emden equation for a self-gravitating, spherically symmetric polytropic fluid.

206 citations

Journal ArticleDOI
TL;DR: In this article, a new scheme, deduced from He's homotopy perturbation method, is presented for solving Lane-Emden type singular IVPs problem, and only a few terms are required to obtain accurate computable solutions.

200 citations

Journal ArticleDOI
TL;DR: In this article, approximate-exact solutions of a class of Lane-Emden type singular IVPs problems, by the variational iteration method, are presented, which yields solutions in the forms of convergent series with easily calculable terms.
Abstract: In this paper, approximate-exact solutions of a class of Lane–Emden type singular IVPs problems, by the variational iteration method, are presented. The variational iteration method yields solutions in the forms of convergent series with easily calculable terms. The scheme is shown to be highly accurate, and in some cases, yields exact solutions in few iterations.

167 citations