We analyze the solution of the coined quantum walk on a line. First, we derive the full solution, for arbitrary unitary transformations, by using a new approach based on the four ”walk fields” which we show determine the dynamics. The particular way of deriving the solution allows a rigorous derivation of a long wavelength approximation. This long wavelength approximation is useful as it provid...

The SE-Coach is a tutoring system that supports students in applying the learning strategy known as self-explanation the process of clarifying to oneself the solution of an example. In this paper, we describe the student model used by the SE-Coach to assess the students’ self-explanations and to provide hints to improve them. The assessment is based on the student’s prior physics knowledge and ...

This paper describes the development and implementation of a partitioned-based, multiphysics, multi-fidelity simulation framework for flexible hypersonic vehicles. This simulation framework will enable the study of the dominant physics needed for the generation of control-oriented models and will provide a reference model for flight control evaluation. A partitioned-based solution is employed t...

Fractional differential equations have extensively used in physics, chemistry as well as engineering fields. Therefore, approximating the solution of differential equations of fractional order is necessary. Consequently, it is essential to approximate the solution of differential equations of fractional order. The piecewise quadratic polynomial function based method has been presented in this p...

An explicit sixth-algebraic-order method for the numerical solution of the Schrödinger equation for a neutral particle is developed. The new formula considered contains free parameters that are defined in order to integrate the spherical Bessel and Neumann functions exactly. Based on the new method and a method of Simos we obtained a variable-step algorithm. The results produced, based on the n...

nonlinear difference equations of higher order are important in applications; such equations appear naturally as discrete analogues of differential and delay differential equations which model various diverse phenomena in biology, ecology, economics, physics and engineering. the study of dynamical properties of such equations is of great importance in many areas. the autonomous difference equat...

English for Academic Purposes (EAP) and English for Specific Purposes (ESP) are developing branches of English as a Foreign Language (EFL) instruction in Iran. These branches have a marginal status in the tertiary education, and the Ministry of Science, Research, and Technology’s high commission offers no clear guidance for selecting and developing basic academic instructional materials related...