In this paper, a numerical method for solving the constrained optimal control of time-varying singular systems with quadratic performance index is presented. Presented method is based on Bernste in polynomials. Operational matrices of integration, differentiation and product are introduced and utilized to reduce the optimal control of time-varying singular problems to the solution of algebraic ...

In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed in...

The development process in software product line engineering is divided into domain engineering and application engineering. As a consequence of this division, tests should be performed in both processes. However, existing testing techniques for single systems cannot be applied during domain engineering, because of the variability in the domain artifacts. Existing software product line test tec...

This is a brief survey of product-integration for biostatisticians. 1 Product-Integration Product-integration was introduced more than 110 years ago by the Italian mathematician Vito Volterra, as a tool in the solution of a certain class of differential equations. It was studied intensively by mathematicians for half a century, but finally the subject became unfashionable and lapsed into obscur...

Background: The banking industry can create sustainable development and be a competitive advantage of the enterprise by promoting a sustainable environment and investment focused on social responsibility. Therefore, the present study was formed with the aim of identifying the components of innovative green banking based on bioethics. Method: The research method in the present study was qualita...

this paper presents a rational haar wavelet operational method for solving the inverse laplace transform problemand improves inherent errors from irrational haar wavelet. the approach is thus straightforward, rather simple andsuitable for computer programming. we define that $p$ is the operational matrix for integration of the orthogonalhaar wavelet. simultaneously, simplify the formulaes of li...

new product development (npd) is described in the literature as the transformation of a market opportunity into a product available for sale. in the automotive industry, within the context of iso/ts16949:2002 (the automotive quality management system international standard),  these related to the product realization process (prp) which consists of three main phases such as planning, implementat...