A new efficient Two Derivative Runge-Kutta method (TDRK) of order five is developed for the numerical solution of the special first order ordinary differential equations (ODEs). The new method is derived using the property of First Same As Last (FSAL). We analyzed the stability of our method. The numerical results are presented to illustrate the efficiency of the new method in comparison with some well-known RK methods.
Fractional calculus has paid much attention in recent years, because it plays an essential role in many fields of science and engineering, where the study of stability theory of fractional differential equations emerges to be very important. In this paper, the stability of fractional order ordinary differential equations will be studied and introduced the backstepping method. The Lyapunov function is easily found by this method. This method also gives a guarantee of stable solutions for the fractional order differential equations. Furthermore it gives asymptotically stable.
Various types of heterogeneous five membered rings were prepared from the reaction of the compound chloro Di Fluro acetic acid with Schiff bases (which was prepared using different Aldehydes, Ketones, and amines [H10-H1] and five membered rings were prepared (derivatives of Oxazolidine-5-one, and the presence of Tetrahydrofuran (THF) [H20-H11]. Melting points of the compounds were measured. The prepared compounds were diagnosed spectrally by using UV-Visible and Infrared spectroscopy, and (1H-NMR) Spectrum for some compounds. The results confirmed the validity of the proposed chemical compositions
The current study aims at identifying:
1-The intellectual stress of counselors according to gender variable (male, female ).
2-The five major factors of the Counselor's Personality.
3- The relationship between intellectual stress and the five major factors of the councilors' personality and according to gender variable (male, female ).
4-The significant differences in the relationship between intellectual stress and the five major factors of the councilors' personality and according to gender variable (male, female ).
The sample of the study includes (260) counselors (130 male
... Show MoreNew chelating ligand derived from triazole and its complexes with metal ions Rhodium, Platinum and Gold were synthesized. Through a copper (I)-catalyzed click reaction, the ligand produced 1,3-dipolar cycloaddition between 2,6-bis((prop-2-yn-1-yloxy) methyl) pyridine and 1-azidododecane. All structures of these new compounds were rigorously characterized in the solid state using spectroscopic techniques like: 1HNMR, 13CNMR, Uv-Vis, FTIR, metal and elemental analyses, magnetic susceptibility and conductivity measurements at room temperature, it was found that the ligand acts as a penta and tetradentate chelate through N3O2, N2O2, and the geometry of the new complex
... Show MoreThe sensitive and important data are increased in the last decades rapidly, since the tremendous updating of networking infrastructure and communications. to secure this data becomes necessary with increasing volume of it, to satisfy securing for data, using different cipher techniques and methods to ensure goals of security that are integrity, confidentiality, and availability. This paper presented a proposed hybrid text cryptography method to encrypt a sensitive data by using different encryption algorithms such as: Caesar, Vigenère, Affine, and multiplicative. Using this hybrid text cryptography method aims to make the encryption process more secure and effective. The hybrid text cryptography method depends on circular queue. Using circ
... Show MorePrecision is one of the main elements that control the quality of a geodetic network, which defines as the measure of the network efficiency in propagation of random errors. This research aims to solve ZOD and FOD problems for a geodetic network using Rosenbrock Method to optimize the geodetic networks by using MATLAB programming language, to find the optimal design of geodetic network with high precision. ZOD problem was applied to a case study network consists of 19 points and 58 designed distances with a priori deviation equal to 5mm, to determine the best points in the network to consider as control points. The results showed that P55 and P73 having the minimum ellipse of error and considered as control points. FOD problem was applie
... Show MoreWe present a case of dizygotic diamiontic twin pregnancy in which one fetus was normal with normal placenta, the 2nd fetus was normal appearing with partial molar placenta. All required investigation and clinical assessments were carried out and revealing partial molar pregnancy in one fetus and normal placenta of the other one. Maternal BhCG was high for gestational age.The patient was a 31-year-old presented to Central Private Hospital; her gestational age was 22 weeks +5 days following IVF (after 10 years of primary infertility) of diazygotic diamiontic twin pregnancy as a case of vaginal bleeding from 8 weeks of gestation with uterine contractions.
The patient had gestational DM & hyperthyroidism. Appropriate treatm
... Show MoreIn this paper, a new procedure is introduced to estimate the solution for the three-point boundary value problem which is instituted on the use of Morgan-Voyce polynomial. In the beginning, Morgan-Voyce polynomial along with their important properties is introduced. Next, this polynomial with aid of the collocation method utilized to modify the differential equation with boundary conditions to the algebraic system. Finally, the examples approve the validity and accuracy of the proposed method.
This research involves study effect of chloride ions in concentration range (0.01 – 0.50 mol.dm-3) on the corrosion behavior of Al-Zn alloy in basic media of 1x10-3 mol.dm-3 NaOH at pH=11 and four different temperatures in the range (298-313 K). Cathodic and anodic Tafel slopes (bc &ba) and transfer coefficients (αc & αa) were calculated and the results interprets according to the variation of the rate – determining steps. The results also indicate that the chloride ions are bonded chemically in the interface as an initial step of formation of different mixed oxohydroxy – and chloro complexes. Polarization resistance (Rp) is calculates
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