In this paper, we consider a new approach to solve type of partial differential equation by using coupled Laplace transformation with decomposition method to find the exact solution for non–linear non–homogenous equation with initial conditions. The reliability for suggested approach illustrated by solving model equations such as second order linear and nonlinear Klein–Gordon equation. The application results show the efficiency and ability for suggested approach.
In the present work a theoretical analysis depending on the new higher order . element in shear deformation theory for simply supported cross-ply laminated plate is developed. The new displacement field of the middle surface expanded as a combination of exponential and trigonometric function of thickness coordinate with the transverse displacement taken to be constant through the thickness. The governing equations are derived using Hamilton’s principle and solved using Navier solution method to obtain the deflection and stresses under uniform sinusoidal load. The effect of many design parameters such as number of laminates, aspect ratio and thickness ratio on static behavior of the laminated composite plate has been studied. The
... Show MoreIn this paper, we introduce and study the concept of S-coprime submodules, where a proper submodule N of an R-module M is called S-coprime submodule if M N is S-coprime Rmodule. Many properties about this concept are investigated.
This research included the hadiths in which the urge to fast the month of the month, or the beginning of the month, and followed the inductive approach to collecting hadiths, and the critical approach in their studies, and in the weighting of the right from the faces contained in it, and one of the most important results of the research is the agreement of the words of the people On the whiteness, whether it is a little or a lot, the rush of the month will be the first three nights, where the moon white is a little, and they also agreed that the middle three are called the white days, and that the release of the rage on them for the whiteness of its nights, where the moon is complete, and the Prophet has been proven. May God bless him an
... Show MoreLet L be a commutative ring with identity and let W be a unitary left L- module. A submodule D of an L- module W is called s- closed submodule denoted by D ≤sc W, if D has no proper s- essential extension in W, that is , whenever D ≤ W such that D ≤se H≤ W, then D = H. In this paper, we study modules which satisfies the ascending chain conditions (ACC) and descending chain conditions (DCC) on this kind of submodules.
Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-module M is said to be approximately pure submodule of an R-module, if for each ideal I of R. The main purpose of this paper is to study the properties of the following concepts: approximately pure essentialsubmodules, approximately pure closedsubmodules and relative approximately pure complement submodules. We prove that: when an R-module M is an approximately purely extending modules and N be Ap-puresubmodulein M, if M has the Ap-pure intersection property then N is Ap purely extending.
TMA Technique was used to study the behavior of the thermal expansion (α) of the unsaturated polyester resin(UP) containing ratios wt % of different phenolic Bakelite. We can through this technique evaluate the coefficient of linear thermal expansion (α) on the one hand and the glass transition temperature(Tg) of his other hand of polymer composite prepared .Evidenced from this study that extravagant increases the ratio of phenolic Bakelite in polyester prepared led to a decrease in the Tg and it was observed that there is increase in the values of (α) in low temperture and decrease in high temperture due to transformation of polymeric material from elastic to plastic , and therefore, increase the ratio to 15% phenoli
... Show MoreAzo-Schiff base compounds (L1 and L2) have been synthesized from the reaction of m-hydroxy benzoic acid with 1,5-dimethyl-3-[2-(5-methyl-1H-indol-3-yl)-ethylimino]-2-phenyl-2,3- dihydro-1H-pyrazol-4-ylamine and with 3-[2-(1H-indol-3-yl)-ethylimino]-1,5-dimethyl-2-phenyl- 2,3-dihydro-1H-pyrazol-4-ylamine. The free ligands and their complexes were characterized based on elemental analysis, determination of metal, molar conductivity, (1H, 13C) NMR, UV–vis, FT-IR, mass spectra and thermal analysis (TGA). The molar conductance data revealed that all the complexes are non-electrolytes. The study of complex formation via molar ratio in DMF solution has been investigated and results were consistent to those found in the solid complexes with a rat
... Show Moreby in situ polymerization of aniline monomer, conducting polyaniline (PANI) nanocomposites containing various concentrations of carboxylic acid functionalized multi-walled carbon nanotubes (f-MWCNT) were synthesized. The morphological and electrical properties of pure PANI and PANI /MWCNT nanocomposites were examined by using Fourier transform- infrared spectroscopy (FTIR), X-ray diffraction (XRD) and Atomic Force Microscopy (AFM) respectively. FTIR spectra shows that the carboxylic acid groups formed at the both ends of the sidewalls of the MWCNTs. The aniline monomers were polymerized on the surface of MWCNTs, depending on the -* electron interaction between aniline monomers and MWCNTs and hydrogen bonding into interaction between t
... Show MoreAchieving goals effectively reflects the success of the institution. However, unless this indicator is coupled with efficiency when achieving goals, the institution will be equal in its achievements, and distinction will remain unachieved. Perhaps the role of the teaching staff in pushing the institution or college towards brilliance focuses on their ability to motivate people on the one hand and their interest in achieving brilliance for the institution. On the other hand, the importance of the research lies in the institution’s reaching a prominent position through the brilliance and creativity of teaching and achieving competition between institutions that make it more brilliance. The study seeks to achieve the goal of the real
... Show MoreLet R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if
the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple , semisimple) F- submodules and quotient F- modules are introduced and given some properties .