eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2019-07-01
10
2
93
102
10.22052/ijmc.2018.114473.1339
92469
Chemical salt reactions as algebraic hyperstructures
Dariush Heidari
dheidari82@gmail.com
1
Davood Mazaheri
davood.mazaheri@gmail.com
2
Bijan Davvaz
davvaz@yazd.ac.ir
3
Faculty of science, Mahallat Institute of Higher Education, Mahallat, Iran
Faculty of Engineering, Mahallat Institute of Higher Education, Mahallat, Iran
Department of Mathematics, Yazd University, Yazd, Iran
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.<br /> Hyperstructure theory is studied from the theoretical point of view and for its applications.<br /> 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.
http://ijmc.kashanu.ac.ir/article_92469_1bc5ada7c1440a78980f519e8f59aedf.pdf
Hyperstructures
semihypergroup
$H_v$-semigroup
salt reaction
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2019-07-01
10
2
103
126
10.22052/ijmc.2018.137247.1370
92471
Solving Multi-objective Optimal Control Problems of chemical processes using Hybrid Evolutionary Algorithm
Gholam Askarirobati
askary2010@gmail.com
1
Akbar Hashemi Borzabadi
a.hashemi.bor@gmail.com
2
Aghileh Heydari
a_heidari@pnu.ac.ir
3
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
Department of Mathematics and Computer Science, Damghan University, Damghan, Iran
Department of Mathematics, Payame Noor University, Tehran, Iran
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. <br /> 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.
http://ijmc.kashanu.ac.ir/article_92471_07fe84d73accbaed46145bd87d59b7f9.pdf
Multi-objective optimal control
Pareto optimal frontier
Non-dominated sorting
invasive weed optimization
Fed Batch Reactor
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2019-07-01
10
2
127
150
10.22052/ijmc.2019.146761.1388
92585
M-polynomial of some graph operations and Cycle related graphs
Bommanahal Basavanagoud
b.basavanagoud@gmail.com
1
Anand Barangi
apb4maths@gmail.com
2
Praveen Jakkannavar
jpraveen021@gmail.com
3
KARNATAK UNIVERSITY DHARWAD
Department of Mathematics Karnatak University Dharwad, Karnatak-580003 India.
Department of Mathematics Karnatak University Dharwad, Karnataka-580003 India.
In this paper, we obtain M-polynomial of some graph operations and cy-<br /> cle related graphs. As an application, we compute M-polynomial of some nanostruc-<br /> tures viz., TUC4C8[p; q] nanotube, TUC4C8[p; q] nanotorus, line graph of subdivision<br /> graph of TUC4C8[p; q] nanotube and TUC4C8[p; q] nanotorus, V-tetracenic nanotube<br /> and V-tetracenic nanotorus. Further, we derive some degree based topological indices<br /> from the obtained polynomials.
http://ijmc.kashanu.ac.ir/article_92585_0c8907c78eff491f82a148e57d0c2cb1.pdf
M-polynomial
Degree-based topological index
line graph
subdivision graph
wheel graph
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2019-07-01
10
2
151
159
10.22052/ijmc.2017.81498.1279
48335
Trees with the greatest Wiener and edge-Wiener index
Ali Ghalavand
ali.ghalavand.kh@gmail.com
1
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I R Iran
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.
http://ijmc.kashanu.ac.ir/article_48335_04cc974385e6e35f7f9e18d45299dac1.pdf
tree
Wiener index
edge-Wiener index
Graph operation
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2019-07-01
10
2
161
179
10.22052/ijmc.2018.72357.1264
92956
Predeiction of ∆H0f(gas) ,∆H0f(Liq) of Amines Derivatives Using chemometrics (A Quantitative Structure-Property Relationship Study)
Morteza Rezaei
mortezarezaei211@gmail.com
1
Esmat Mohammadinasab
esmohammadinasab@gmail.com
2
Department of Chemistry, Arak Branch, Islamic Azad University, Arak, Iran
Department of Chemistry, Arak Branch, Islamic Azad University, Arak, Iran
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˚<sub>f(liquid)</sub>, 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˚<sub>f(gas)</sub> of this class of amines.
http://ijmc.kashanu.ac.ir/article_92956_d97a8a954630b00348abfeeecc162a60.pdf
Amines Derivatives
Standard Enthalpy of Formation
Molecular Descriptors
chemometrics
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2019-07-01
10
2
181
193
10.22052/ijmc.2018.111016.1335
92957
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
muhammad.mehdizadeh@gmail.com
1
Ali Shokri
shokri2090@gmail.com
2
Maryam Molayi
m.molayi.66@gmail.com
3
Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran
Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran
Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran
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.
http://ijmc.kashanu.ac.ir/article_92957_eb38dd0a1d348c727b99045c5b58a2b9.pdf
Stiff initial value problems
Hybrid methods
Roberston problem
A-Stability
L-Stability