@Article{SafariSabet2016,
author="Safari Sabet, SH. A.
and Farmani, M.",
title="Extensions of Regular Rings",
journal="International Journal of Industrial Mathematics",
year="2016",
volume="8",
number="4",
pages="331-337",
abstract="Let $R$ be an associative ring with identity. An element $x \in R$ is called $\mathbb{Z}G$-regular (resp. strongly $\mathbb{Z}G$-regular) if there exist $g \in G$, $n \in \mathbb{Z}$ and $r \in R$ such that $x^{ng}=x^{ng}rx^{ng}$ (resp. $x^{ng}=x^{(n+1)g}$). A ring $R$ is called $\mathbb{Z}G$-regular (resp. strongly $\mathbb{Z}G$-regular) if every element of $R$ is $\mathbb{Z}G$-regular (resp. strongly $\mathbb{Z}G$-regular). In this paper, we characterize $\mathbb{Z}G$-regular (resp. strongly $\mathbb{Z}G$-regular) rings. Furthermore, this paper includes a brief discussion of $\mathbb{Z}G$-regularity in group rings.",
issn="2008-5621",
doi="",
url="http://ijim.srbiau.ac.ir/article_9533.html"
}
@Article{Rouhparvar2016,
author="Rouhparvar, H.",
title="Computational technique of linear partial differential equations by reduced differential transform method",
journal="International Journal of Industrial Mathematics",
year="2016",
volume="8",
number="4",
pages="339-346",
abstract="This paper presents a class of theoretical and iterative method for linear partial differential equations. An algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. In this technique, the solution is calculated in the form of a series with easily computable components. There test modeling problems from mathematical mechanic, physic, electronic and so on, and are discussed to illustrate the effectiveness and the performance of the our method.",
issn="2008-5621",
doi="",
url="http://ijim.srbiau.ac.ir/article_9551.html"
}
@Article{AbdEl-Aziz2016,
author="Abd El-Aziz, M.",
title="Effect of slip and variable thermal boundary conditions on hydromagnetic mixed convection flow and heat transfer from a non-linearly stretching surface",
journal="International Journal of Industrial Mathematics",
year="2016",
volume="8",
number="4",
pages="347-363",
abstract="The effect of partial slip and temperature dependent fluid properties on the MHD mixed convection flow from a heated, non-linearly stretching surface in the presence of radiation and non-uniform internal heat generation/absorption is investigated. The velocity of the stretching surface was assumed to vary according to power-law form. Thermal transport is analyzed for two types of non-isothermal boundary conditions, variable wall temperature (VWT) and variable surface heat flux (VHF) of the power-law form. The analysis accounts for both temperature dependent viscosity and temperature dependent thermal conductivity. The governing differential equations are transformed by introducing proper non-similarity variables and are solved numerically. The physical significance of the slip parameter, magnetic parameter, radiation parameter, viscosity-temperature parameter, thermal conductivity parameter and buoyancy force parameter on the flow and the thermal fields are shown through graphs and discussed in detail. The values of wall shear stress and the local Nusselt number are tabulated.",
issn="2008-5621",
doi="",
url="http://ijim.srbiau.ac.ir/article_9555.html"
}
@Article{Abbasi2016,
author="Abbasi, F.
and Allahviranloo, T.
and Abbasbandy, S.",
title="A new attitude coupled with the basic thinking to ordering for ranking fuzzy numbers",
journal="International Journal of Industrial Mathematics",
year="2016",
volume="8",
number="4",
pages="365-375",
abstract="Ranking fuzzy numbers is generalization of the concepts of order, and class, and so have fundamental applications. Moreover, deriving the final efficiency and powerful ranking are helpful to decision makers when solving fuzzy problems. Selecting a good ranking method can apply to choosing a desired criterion in a fuzzy environment. There are numerous methods proposed for the ranking of fuzzy numbers, some of them seem to be good in a particular context but not in general. In this paper, a new attitude coupled with the basic thinking of ordering for ranking of fuzzy numbers is proposed. The properties of the proposed method are discussed in detail. The ranking results show that the proposed method can overcome certain shortcomings that exist in the previous ranking methods.The method also has very easy and simple calculations compared to other methods. Finally, numerical examples are presented to illustrate the advantage of our proposed method, and compare them with other common ranking methods. The future prospect of this paper is a new attitude to fuzzy distance, which will be referred to in the end.",
issn="2008-5621",
doi="",
url="http://ijim.srbiau.ac.ir/article_9556.html"
}
@Article{M.Hosamani2016,
author="M. Hosamani, Sunilkumar",
title="Ashwini Index of a Graph",
journal="International Journal of Industrial Mathematics",
year="2016",
volume="8",
number="4",
pages="377-384",
abstract="Motivated by the terminal Wiener index, we define the Ashwini index $\mathcal{A}$ of trees as \begin{eqnarray*} % \nonumber to remove numbering (before each equation)
\mathcal{A}(T) &=& \sum\limits_{1\leq i