The adomian decomposition method (ADM) was used to solve various wave equations. We compared the obtained solution by ADM with the Reduced Differential Transform Method (RDTM) and the Variational Iteration Method (VIM). The results show that ADM is very effective, simple and easy compared with other methods.
Muna Shaban Akrim(12-2019)

Abstract For a locally compact space, we define an order-anti-isomorphism from the set of all one-point extensions of onto the set of all nonempty closed subsets of . We consider various sets of one-point extensions, including the set of all one-point locally compact extensions of , the set of all one-point Lindelöf extensions of , the set of all one-point pseudocompact extensions of , and the set of all one-point Cech-complete extensions of , among others. We study how these sets of one-point extensions are related, and investigate the relationship between their order structure, and the topology of subspaces of , we also study the relationship between various subsets of one-point extensions, the existence of minimal and maximal elements in various sets of one point extensions, and we show how some of our results may be applied to obtain relations between the order structure of certain subfamilies of ideals of partially ordered with inclusion, and the topology of subspaces of .
مسعودة سعد نجم (2009)

Abstract The permittivities and dielectric losses of 2-Piperedone, -Caprolactam, 2-Azacyclooctanone and 2-Azacyclononanone have been studied in chloroform solutions. They have been measured using Q meter at frequency range 150KHz to 15MHz.Both 2-Piperedone and -Caprolactam solutions were studied at concentration range 0.05 to 0.25M and over temperatures range of -10 to 45 and. The dielectric studies of 2-Azacyclooctanone solutions cover a concentration range 0.05 to 0.125M and over temperature range of -10 to 45, while that of 2-Azacyclononanone solutions were studied at concentration range 0.01 to 0.075M and over temperature range of -10 to 45. The permittivities at higher concentrated solutions up to 1.5M of 2-Pipere-done, -Caprolactam and 2-Azacyclononanone were also measured at 2MHz using dipole meter DM01 over the temperature rang -10 to 45.The static permittivities for the four systems were discussed as the affect concentration, temperature and the number of CH2 group in the cyclic amides. All show normal behaviour except that the CH2 does not show clear affect. Single relaxation process were observed for the studied compound in the chloroform solutions ( =10-9 sec). All cases, the presence of a relaxation process was established at frequencies higher than used here. These relaxation processes were discussed in terms of their relation to concentration and the number of CH2 group. The dielectric activation energies were calculated using Eyring equation. The obtained values were discussed also in terms of concentration affect. A dependence of on concentration was observed. The dipole moments for the four studied compounds in solutions were evaluated using of Cole-Cole a semicircle plots, which considered to be associated with the relaxation process and other dipole moments were evaluated using =. This was assigned as an apparent dipole moment. All these dipole moments were discussed in terms of concentration and temperature affect. The obtained dipole moments in all studied case were much larger than those expected for planer dimers association. So they assigned to the presence of dimers and trimer or tetramers association in the studied solutions.Kirkwood correlation factor for the studied systems were calculated and discussed as a function of concentration. All values of g are less than unity and were assigned to a cyclic association form.
لطفية صادق حسن المجدوب (2010)