Chemical salt reactions as algebraic hyperstructures
Dariush
Heidari
Faculty of science, Mahallat Institute of Higher Education, Mahallat, Iran
author
Davood
Mazaheri
Faculty of Engineering, Mahallat Institute of Higher Education, Mahallat, Iran
author
Bijan
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
author
text
article
2019
eng
A salt metathesis reaction is a chemical process involving the exchange of bonds between two reacting chemical species, which results in the creation of products with similar or identical bonding affiliations. Hyperstructure theory is studied from the theoretical point of view and for its applications. In this paper, we provide some examples of hyperstructures associated with salt metathesis reactions, and we observe that these chemical reactions are examples of the phenomena when composition of two elements is a set of elements.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
10
v.
2
no.
2019
93
102
http://ijmc.kashanu.ac.ir/article_92469_1bc5ada7c1440a78980f519e8f59aedf.pdf
dx.doi.org/10.22052/ijmc.2018.114473.1339
Solving Multi-objective Optimal Control Problems of chemical processes using Hybrid Evolutionary Algorithm
Gholam
Askarirobati
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
author
Akbar
Hashemi Borzabadi
Department of Mathematics and Computer Science, Damghan University, Damghan, Iran
author
Aghileh
Heydari
Department of Mathematics, Payame Noor University, Tehran, Iran
author
text
article
2019
eng
Evolutionary algorithms have been recognized to be suitable for extracting approximate solutions of multi-objective problems because of their capability to evolve a set of non-dominated solutions distributed along the Pareto frontier. This paper applies an evolutionary optimization scheme, inspired by Multi-objective Invasive Weed Optimization (MOIWO) and Non-dominated Sorting (NS) strategies, to find approximate solutions for multi-objective optimal control problems (MOCPs). The desired control function may be subjected to severe changes over a period of time. In response to deficiency, the process of dispersal has been modified in the MOIWO. This modification will increase the exploration power of the weeds and reduces the search space gradually during the iteration process. The performance of the proposed algorithm is compared with conventional Non-dominated Sorting Genetic Algorithm (NSGA-II) and Non-dominated Sorting Invasive Weed Optimization (NSIWO) algorithm.The results show that the proposed algorithm has better performance than others in terms of computing time, convergence rate and diversity of solutions on the Pareto frontier.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
10
v.
2
no.
2019
103
126
http://ijmc.kashanu.ac.ir/article_92471_07fe84d73accbaed46145bd87d59b7f9.pdf
dx.doi.org/10.22052/ijmc.2018.137247.1370
M-polynomial of some graph operations and Cycle related graphs
Bommanahal
Basavanagoud
KARNATAK UNIVERSITY DHARWAD
author
Anand
Barangi
Department of Mathematics
Karnatak University
Dharwad, Karnatak-580003
India.
author
Praveen
Jakkannavar
Department of Mathematics
Karnatak University
Dharwad, Karnataka-580003
India.
author
text
article
2019
eng
In this paper, we obtain M-polynomial of some graph operations and cy- cle related graphs. As an application, we compute M-polynomial of some nanostruc- tures viz., TUC4C8[p; q] nanotube, TUC4C8[p; q] nanotorus, line graph of subdivision graph of TUC4C8[p; q] nanotube and TUC4C8[p; q] nanotorus, V-tetracenic nanotube and V-tetracenic nanotorus. Further, we derive some degree based topological indices from the obtained polynomials.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
10
v.
2
no.
2019
127
150
http://ijmc.kashanu.ac.ir/article_92585_0c8907c78eff491f82a148e57d0c2cb1.pdf
dx.doi.org/10.22052/ijmc.2019.146761.1388
Trees with the greatest Wiener and edge-Wiener index
Ali
Ghalavand
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I R Iran
author
text
article
2019
eng
The Wiener index W and the edge-Wiener index W_e of G are defined as the sum of distances between all pairs of vertices in G and the sum of distances between all pairs of edges in G, respectively. In this paper, we identify the four trees, with the first through fourth greatest Wiener and edge-Wiener index among all trees of order n ≥ 10.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
10
v.
2
no.
2019
151
159
http://ijmc.kashanu.ac.ir/article_48335_04cc974385e6e35f7f9e18d45299dac1.pdf
dx.doi.org/10.22052/ijmc.2017.81498.1279
Predeiction of ∆H0f(gas) ,∆H0f(Liq) of Amines Derivatives Using chemometrics (A Quantitative Structure-Property Relationship Study)
Morteza
Rezaei
Department of Chemistry, Arak Branch, Islamic Azad University, Arak, Iran
author
Esmat
Mohammadinasab
Department of Chemistry, Arak Branch, Islamic Azad University, Arak, Iran
author
text
article
2019
eng
In this study, multiple linear regression method that is based on property-structure model has been used to predict the standard enthalpies of formation for the gas and liquid phases of the 33 different types of amines. It was indicated that among studied topological and geometric descriptors to predict the ∆H˚f(liquid), descriptors as PSA, H, MaxZL and V have more importance than the other descriptors. Also, the results of experiments on studied amines were compared with the results of multiple linear regression calculations and it was observed that such descriptors as MaxZL MaxPA, DE, J and WW are the best descriptors for predicting the values of ∆H˚f(gas) of this class of amines.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
10
v.
2
no.
2019
161
179
http://ijmc.kashanu.ac.ir/article_92956_d97a8a954630b00348abfeeecc162a60.pdf
dx.doi.org/10.22052/ijmc.2018.72357.1264
The new high approximation of stiff systems of first order IVPs arising from chemical reactions by k-step L-stable hybrid methods
Mohammad
Mehdizadeh Khalsaraei
Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran
author
Ali
Shokri
Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran
author
Maryam
Molayi
Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran
author
text
article
2019
eng
In this paper, we present a new class of hybrid methods for the numerical solution of first order ordinary differential equations (ODEs). The accuracy and stability properties of the new methods are investigated. In the final section, we apply new hybrid methods to solve two stiff chemical problems such as Roberston problem.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
10
v.
2
no.
2019
181
193
http://ijmc.kashanu.ac.ir/article_92957_eb38dd0a1d348c727b99045c5b58a2b9.pdf
dx.doi.org/10.22052/ijmc.2018.111016.1335