The aim of this paper is to design feed forward neural network for solving second-order singular boundary value problems in ordinary differential equations. The neural networks use the principle of back propagation with different training algorithms such as quasi-Newton, Levenberg-Marquardt, and Bayesian Regulation. Two examples are considered to show that effectiveness of using the network techniques for solving this type of equations. The convergence properties of the technique and accuracy of the interpolation technique are considered.
In this paper, new transform with fundamental properties are presented. The new transform has many interesting properties and applications which make it rival to other transforms.
Furthermore, we generalize all existing differentiation, integration, and convolution theorems in the existing literature. New results and new shifting theorems are introduced. Finally, comprehensive list of this transforms of functions will be providing.
Hookah is a tobacco product that is gaining popularity in the United States and other countries, particularly among the youth. In this paper, we examine the perception of health risks of different types of tobacco use in comparison to hookah use among 671 participants respond to a survey conducted in Detroit Metropolitan Area, Michigan who never smoke or smoke “cigarette, hookah, both cigarette and hookah”; and determine whether smoking status influenced the perceived health risks of hookah smoking when compared to other forms of tobacco use. The survey had 43 questions including questions about demographics, socioeconomic status, health care, etc. All statistical analyses were done using SPSS version 22. This study found that 44.1% of the participants believed that hookah was less harmful than each of the other tobacco products studied. Approximately 26% of cigarette smokers are likely to smoke hookah also. These findings emphasize the importance of spreading awareness about the health risks associated with hookah smoking and implementing strict laws for showing tobacco-related warnings in hookah advertisements and on the packets of hookah accessories given the increasing popularity of hookah, especially among the youth, in the United States.
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