The state ownership of the Egyptian television, a qualitative case study research, by Gamal El-Shaer, supervised by Prof. Abdul Hamid Abu Naeem, Dr. Ashraf Elsafty, August
In this paper, a new technique of homotopy analysis method nHAM is proposed for solving Second order nonlinear differential second order nonlinear differential equations. This method improves the convergence of the equations series solution, eliminates the unneeded terms and reduces time consuming in the standard Homotopy analysis method homotopy analysis method HAM.
The solution of these two differential equations is obtained as a power equations series solution. This scheme is tested on four non-linear exactly solvable differential equa- tions. Three of the examples are initial value problems and the fourth is boundary value problem.
The homotopy analysis method HAM is a powerful analytic method to solve nonlinear problems. HAM enjoys great freedom in choosing initial approximations and auxiliary linear operators.
In  Liu shows that the generalized Newton binomial expansion is just the usual Newton binomial expansion at an- other Hany hassan thesis his results uncovers the essence of the generalized Newton binomial theorem expansion which plays a key role in the homotopy analysis method, also in [41,42] show that the generalized Taylor series is only the usual Taylor expansion at another point.
Hassanmagdyeltawil yahoo. It is the purpose of the present paper to introduce a new technique of HAM form introducing a change in using of HAM in solving second order nonlinear differential problems.
In topology, this kind of variation is the called deformation, Eq. The so-called zero-order deformation Eq.
So, the closed form solution needs more number of iterations. Cases study The proposed method nHAM is applied on four non-linear exactly solvable differential equations. The surface generated from the exact solution -u x,t of Good Boussinesq Eq.
Then the series solution expression by HAM can be written in the form A better approximation for larger time interval can be achieved by adding new terms to the series as shown in Figs. In order to solve Eq.
Then the series solution expression by nHAM can be written in the form in Eq. To demonstrate the performance of the new technique homotopy analysis method nHAMwe present the comparison between the third-order approximate solution, the sex-order approximate solution, the tenth-order approximate solution with the exact solution in Fig.
Also, we depict the results for the approximate solutions obtained with nHAM in comparison with the analytical solution Eq. From Tables 1—3 it is obvious that the new technique homotopy analysis method nHAM leads to remarkable accuracy of the approximate solution.
It is important to note that; the accuracy of the solution obtained will be improved greatly if we increase the obtained terms as shown in Figs. We can conclude that this method is more powerful for solving the sine—Gordon equation.
The surface generated from exact solution u x, t of sine—Gordon Eq. The following results are obtained: The rest of the components of the iteration formula 63 can be obtained in a similar easy way. The solu- tion of these two differential equations is obtained as a power series solution, which converges to closed form solution.
PhD, Department of Computer Engineering, Bilkent University, Ankara, Turkey, August MSc, Department of Computer Engineering and Information Science, Bilkent. Hany has 2 jobs listed on their profile. See the complete profile on LinkedIn and discover Dr. Hany’s connections and jobs at similar companies. View Dr. Hany N. Hassan’s profile on LinkedIn, the world's largest professional attheheels.com: Associate Professor at Benha . SIMR is the hub of the University of Sharjah Master and Ph.D. programs in Molecular Medicine and Translational Research. Students from these programs exploit the state-of-the-art facilities to train in research methodologies and critical thinking specifically using techniques in molecular biology, pharmacology, tissue culture and microscopy.
It was shown from a lot of illustrative examples that nHAM requires less computational work and less consuming time when compared with standard HAM. Liao, The proposed homotopy analysis techniques for the solution of nonlinear problems, Ph.
Abbasbandy, The application of the homotopy analysis method to solve a generalized Hirota—Satsuma coupled KdV equation, Physics Letters A — Abbasbandy, Soliton solutions for the 5th-order KdV equation with the homotopy analysis method, Nonlinear Dynamics 51 83— Abbasbandy, The application of the homotopy analysis method to nonlinear equations arising in heat transfer, Physics Letters A — Abbasbandy, Homotopy analysis method for heat radiation equations, International Communications in Heat and Mass Transfer 34 — Real World Applications 9 — Real World Applications 10 — Hashim, Solutions of time-dependent Emden—Fowler type equations by homotopy analysis method, Physics Letters A 72— Zhang, Applying homotopy analysis method for solving differential-difference equation, Physics Letters A 77— Inc, On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method, Physics Letters A — Abbasbandy, Homotopy analysis method for the Kawahara equation, Nonlinear Analysis: Real World Applications 11 — Liao, An analytic approach to solve multiple solutions of a strongly nonlinear problem, Applied Mathematics and Computation — Shivanian, The homotopy analysis method for multiple solutions of nonlinear boundary value problems, Communications in Nonlinear Science and Numerical Simulation 14 —The much awaited Office / full version is now available for PC users.
One can get them from here. Hany ha indicato 2 esperienze lavorative sul suo profilo. Guarda il profilo completo su LinkedIn e scopri i collegamenti di Dr. Hany e le offerte di lavoro presso aziende simili. Visualizza il profilo di Dr. Hany N.
Hassan su LinkedIn, la più grande comunità professionale al attheheels.com: Associate Professor at Benha . For the purpose of stabilizing the Line Of Sight (LOS) of Electro-Optical (Eo) surveillance and tracking system, a Dual Axis Inertially Stabilized Platform (ISP) is required to isolate the LOS from th.
The American University in Cairo First, I would like to thank sincerely my thesis advisors Professor Hassan Prof. Hany Fikry and Prof. Maged Ghoneima (Ain Shams University) for their e ective un-dergraduate/graduate courses.
Thanks to Prof. Amr Wassal (Cairo University). hany hassan - Google+.
Press question mark to see available shortcut keys. Hany Hassan, Ahmed Hassan, Ossama Emam, Unsupervised information extraction approach using graph mutual reinforcement, Proceedings of the Conference on Empirical Methods in Natural Language Processing, July , , Sydney, Australia.