Courses covering analytical methods for materials characterization are part of the educational program in many academic faculties, particularly in applied physics and chemistry. Employment of multimedia techniques in the presentation of the subject is increasingly accepted and even demanded by students as the required hardware and software becomes affordable and widely available at reasonable q...

The phase diagram of a frustrated spin-S zig-zag ladder is studied through different numerical and analytical methods. We show that for arbitrary S, there is a family of Hamiltonians for which a fully-dimerized state is an exact ground state, being the Majumdar-Ghosh point for a particular member of the family. We show that the system presents a transition between a dimerized phase to a Néel-li...

Unsaturated flow of soils in unsaturated soils is an important problem in geotechnical and geo-environmental engineering. Richards’ equation is often used to model this phenomenon in porous media. Obtaining appropriate solution to this equation therefore provides better means to studying the infiltration into unsaturated soils. Available 5 methods for the solution of Richards’ equation mostly f...

The returns and risks of high-yield bond (HYB) lie between the stocks and Treasury bonds. In view of investment opportunities and the rate of return, the advantages of HYB are both lower risks and higher shares. Therefore, HYB has become one of important components in the portfolios. The purpose of this study is to identify critical factors related to the selection of HYB. Primary criteria to e...

In this paper, we present the solution of fuzzy initial value problem of the form X ′(t) = f(t,X(t)), X(t0) = X0, where X0 is a symmetric triangular fuzzy interval. In the first part, we review the existing analytical methods for solving such problem under different types of interpretation. We then provide detailed numerical procedures based on the different interpretations given in the first p...