On the equiconvergence of the spectral decomposition of the distributions connected with elliptic differential operators on the torus with fourier integral

The problems of engineering sciences can be modelled using equations of mathematical physics. Mathematical models for many systems that are encountered in engineering, physics, and other applied sciences are often developed by applying various laws that describe the conservation of mass, momentum, and energy. These models are usually given as a single or set of ordinary or partial differential equations along with appropriate initial and boundary conditions which apply over the rectangular region. Solution of these equations using appropriate analytical methods provides local numerical values for the dependent variables of interest, such as fluid velocity, pressure, species concentration, temperature, force and electric potential

The approximation of the solution of heat conduction problem in circular plate with concentrated initial heat

Many problems of the engineering sciences can be solved using the modern methods of equations of mathematical physics, particularly elliptic differential equations play essential role in solving heat and mass transfer problems in engineering processes. In this paper, a numerical approximation of the solution of heat conduction problem in circular plate with initial concentrated heat is constructed by using the Riesz means of the spectral decompositions. Solution of heat transfer problems are subjected to the distributional boundary conditions and initial conditions

On the equiconvergence of the spectral decomposition of the distributions connected with elliptic differential operators on the torus with Fourier integral

In this paper, we deal with the problems of the expansions of the periodic distributions. We obtained sufficient conditions for the equiconvergence of the spectral decompositions of the distributions connected with the elliptic differential operator on the torus with Fourier integral in the classes of the Sobolev

The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators

In this research, we investigate the spectral expansions connected with elliptic differential operators in the space of singular distributions, which describes the vibration process made of thin elastic membrane stretched tightly over a circular frame. The sufficient conditions for summability of the spectral expansions connected with wave problems on the disk are obtained by taking into account that the deflection of the membrane during the motion remains small compared to the size of the membrane and for wave propagation problems, the disk is made of some thermally conductive material

The prevalence of helicobacter pylori in referral population of Turkey

Helicobacter pylori infection is commonly associated with gastroduodenal diseases in humans, such as chronic gastritis and peptic ulcers, gastric mucosa-associated lymphoid tissue lymphoma, and even gastric cancer, which leads to high cost to society for treatment and even to death many people, when people do not know early of the infection prevalence. In this work we proposed a forecasting model to predict the infection prevalence. Based on our results society can make simple early prevention acts against the infection. The early prevention acts decrease the cost of treatment and save many people's lives in the world