الحمد لله رب العالمين، والصلاة والسلام على سيد المرسلين، محمد وعلى آله وصحبه أجمعين وبعد:

فإن الله تعالى خلقنا أزواجا، وجعل منا الذكر والأنثى يميل بعضهم إلى بعض بالفطرة والطبع ليكونا بمشيئة الله أسرة، ويرزقان بنين وحفدة، وهذه سنة الله تعالى في الخلق لا يزيغ عنها إلا هالك.

ومن نعم الله تعالى على بني البشر أن جعل النكاح المشروع لا السفاح الممنوع أساس العلاقة بين ال

دور المواد النانوية في إعادة تصنيف تكاليف المنتج الصناعي الحديث

       The basic goal of this research is to utilize an analytical method which is called the Modified Iterative Method in order to gain an approximate analytic solution to the Sine-Gordon equation. The suggested method is the amalgamation of the iterative method and a well-known technique, namely the Adomian decomposition method. A method minimizes the computational size, averts round-off errors, transformation and linearization, or takes some restrictive assumptions. Several examples are chosen to show the importance and effectiveness of the proposed method. In addition, a modified iterative method gives faster and easier solutions than other methods. These solutions are accurate and in agreement with the series

In this paper we will investigate some Heuristic methods to solve travelling salesman problem. The discussed methods are Minimizing Distance Method (MDM), Branch and Bound Method (BABM), Tree Type Heuristic Method (TTHM) and Greedy Method (GRM).

The weak points of MDM are manipulated in this paper. The Improved MDM (IMDM) gives better results than classical MDM, and other discussed methods, while the GRM gives best time for 5≤ n ≤500, where n is the number of visited cities.

This research investigates modern linguistics in terms of the “universality” concept, through which linguistics shifted its attention from the description of the phenomenon into finding an interpretation of it. Then it investigates what needs interpretation in the language

This research investigates modern linguistics in terms of the “universality” concept, through which linguistics shifted its attention from the description of the phenomenon into finding an interpretation of it. Then it investigates what needs interpretation in the language

     The messages are ancient method to exchange information between peoples. It had many ways to send it with some security.

    Encryption and steganography was oldest ways to message security, but there are still many problems in key generation, key distribution, suitable cover image and others. In this paper we present proposed algorithm to exchange security message without any encryption, or image as cover to hidden. Our proposed algorithm depends on two copies of the same collection images set (CIS), one in sender side and other in receiver side which always exchange message between them.

      To send any message text the sender converts message to ASCII c

In this paper , an efficient new procedure is proposed to modify third –order iterative method obtained by Rostom and Fuad [Saeed. R. K. and Khthr. F.W. New third –order iterative method for solving nonlinear equations. J. Appl. Sci .7(2011): 916-921] , using three steps based on Newton equation , finite difference method and linear interpolation. Analysis of convergence is given to show the efficiency and the performance of the new method for solving nonlinear equations. The efficiency of the new method is demonstrated by numerical examples.

In this article, the nonlinear problem of Jeffery-Hamel flow has been solved analytically and numerically by using reliable iterative and numerical methods. The approximate solutions obtained by using the Daftardar-Jafari method namely (DJM), Temimi-Ansari method namely (TAM) and Banach contraction method namely (BCM). The obtained solutions are discussed numerically, in comparison with other numerical solutions obtained from the fourth order Runge-Kutta (RK4), Euler and previous analytic methods available in literature. In addition, the convergence of the proposed methods is given based on the Banach fixed point theorem. The results reveal that the presented methods are reliable, effective and applicable to solve other nonlinear problems.