2020-09-21T20:24:08Z
https://ijmc.kashanu.ac.ir/?_action=export&rf=summon&issue=5954
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
Borderenergetic graphs of order 12
B.
Furtula
I.
Gutman
A graph G of order n is said to be borderenergetic if its energy is equal to 2n-2 and if G differs from the complete graph Kn. The first such graph was discovered in 2001, but their systematic study started only in 2015. Until now, the number of borderenergetic graphs of order n was determined for n
Graph energy
Borderenergetic graph
Spectrum (of graph)
2017
12
01
339
344
https://ijmc.kashanu.ac.ir/article_49788_59c1216a190db25eecedafc58a8b0ef3.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
A numerical study of fractional order reverse osmosis desalination model using Legendre wavelet approximation
O.
Belhamiti
B.
Absar
The purpose of this study is to develop a new approach in modeling and simulation of a reverse osmosis desalination system by using fractional differential equations. Using the Legendre wavelet method combined with the decoupling and quasi-linearization technique, we demonstrate the validity and applicability of our model. Examples are developed to illustrate the fractional differential technique and to highlight the broad applicability and the efficiency of this method. The fractional derivative is described in the Caputo sense.
Reverse osmosis desalination system
Legendre wavelet method
DQL- technique
Caputo fractional derivative
2017
12
01
345
364
https://ijmc.kashanu.ac.ir/article_48032_353840879c192f585d7f14d06d947d30.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method
A.
Haghbin
H.
Jafari
The variational iteration method(VIM) was extended to find approximate solutions of<br /> fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The obtained approximate solutions are compared with the numerical results in the literature to show the applicability, efficiency and accuracy of the method.
Fractional differential equations
Variational iteration method
Fixed point theory
Chemical reactor
2017
12
01
365
375
https://ijmc.kashanu.ac.ir/article_45351_663180f12cd27ea2d0147431b6a81d9b.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
The ratio and product of the multiplicative Zagreb indices
R.
Kazemi
The first multiplicative Zagreb index $Pi_1(G)$ is equal to the product of squares of the degree of the vertices and the second multiplicative Zagreb index $Pi_2(G)$ is equal to the product of<br /> the products of the degree of pairs of adjacent vertices of the underlying molecular graphs $G$. Also, the multiplicative sum Zagreb index $Pi_3(G)$ is equal to the product of the sums of the degree of pairs of adjacent vertices of $G$. In this paper, we introduce a new version of the multiplicative sum Zagreb index and study the moments of the ratio and product of all above indices in a randomly chosen molecular graph with tree structure of order $n$. Also, a supermartingale is introduced by Doob's supermartingale inequality.
Molecular graph with tree structure, Multiplicative Zagreb indices
Moments
Doob's supermartingale inequality
2017
12
01
377
390
https://ijmc.kashanu.ac.ir/article_45116_c080bfbf95b3706d865e19550282e4e3.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
Extremal trees with respect to some versions of Zagreb indices via majorization
M.
Eliasi
A.
Ghalavand
The aim of this paper is using the majorization technique to identify<br /> the classes of trees with extermal (minimal or maximal) value of some topological<br /> indices, among all trees of order n ≥ 12
majorization
General first Zagreb index
Multiplicative Zagreb indices
2017
12
01
391
401
https://ijmc.kashanu.ac.ir/article_48642_64062001663bd96ec4ae467dcd11a0d2.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
The uniqueness theorem for inverse nodal problems with a chemical potential
S.
Mosazadeh
In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.
Boundary value problem
Inverse Nodal problem
Eigenvalues
Nodal points
2017
12
01
403
411
https://ijmc.kashanu.ac.ir/article_39228_bffea15fb4cc1335d35422de04f8bfc3.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
Numerical modeling for nonlinear biochemical reaction networks
Z. A.
Zafar
K.
Rehan
M.
Mushtaq
M.
Rafiq
Nowadays, numerical models have great importance in every field of science, especially for solving the nonlinear differential equations, partial differential equations, biochemical reactions, etc. The total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is simulated by the Runge-Kutta of order four (RK4) and by nonstandard finite difference (NSFD) method. A NSFD model has been constructed for the biochemical reaction problem and numerical experiments are performed for different values of discretization parameter ‘h’. The results are compared with the well-known numerical scheme, i.e. RK4. Unlike RK4 which fails for large time steps, the developed scheme gives results that converge to true steady states for any time step used.
Michaelis-Menten model
NSFD Method
RK4 method
2017
12
01
413
423
https://ijmc.kashanu.ac.ir/article_50016_3d4b3705afc3725dcaee76c6dbe32ec1.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
4
Numerical solution of gas solution in a fluid: fractional derivative model
S.
Esmaeili
A computational technique for solution of mathematical model of gas solution in a fluid is presented. This model describes the change of mass of the gas volume due to diffusion through the contact surface. An appropriate representation of the solution based on the M"{u}ntz polynomials reduces its numerical treatment to the solution of a linear system of algebraic equations. Numerical examples are given and discussed to illustrate the effectiveness of the proposed approach.
Fractional derivatives
Gas solution
M"{u}ntz polynomials
Gaussian quadrature
Collocation method
2017
12
01
425
437
https://ijmc.kashanu.ac.ir/article_50034_b2a8baae1f6d0082a396ac6810ca2c66.pdf