In this article we consider two-way two-tape (alternating) automata accepting pairs of words and we study some closure properties of this model. Our main result is that such alternating automata are not closed under complementation for non-unary alphabets. This improves a similar result of Kari and Moore for picture languages. We also show that these deterministic, non-deterministic and alterna...

In this paper, analytic solutions of two-dimensional coupled Burgers' equations are obtained by the Homotopy analysis and the Homotopy Pad$acute{e}$ methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by $[m,m]$ Homotopy Pad$acute{e...

Abstract In order to simulate dispersed multiphase flows, the coupling level must be determined according volume fraction in system. The is ratio of total phases over flow. dilute with fractions smaller than 10 -6 , only influence carrier phase considered which known as one-way coupling. Nonetheless, flows higher fractions, effect continuous one should taken into consideration, two-way This nor...

This study focuses on the numerical investigation of hull girder loads a flexible containership S175 with intact and damaged conditions advancing in regular head waves. In this study, two-way coupled fluid-structure interactions framework is applied, which between flooding water inside tanks wave fields are modelled by Computational Fluid Dynamics toolbox OpenFOAM. The structural deformation pr...