University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
A Meshless Method for Numerical Solution of Fractional Differential Equations
1
8
EN
A.
golbabai
Department of Applied Mathematics, Iran University Science and
Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran.
golbabai@iust.ac.ir
O.
Nikan
Department of Applied Mathematics, Iran University Science and
Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran
omidnikan77@yahoo.com
In this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. We approximate the exact solution by use of Radial Basis Function(RBF) collocation method. This techniqueplays an important role to reduce a fractional dierential equation to a system of equations. The numerical results demonstrate the accuracy and ability of this method.
Riemann-Liouville fractional integral,Caputo fractional derivative,Radial
basis functions
http://cjms.journals.umz.ac.ir/article_678.html
http://cjms.journals.umz.ac.ir/article_678_9d9ae5fe141c89fa9265cd72ec09d979.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
07
01
Use of the Sturm-Liouville problems in the seismic response of earth dams and embankments
9
15
EN
A. A.
Neamaty
University of Mazandaran
neamaty@yahoo.com
Y.
Khalili
University of Mazandaran
y.khalili@stu.umz.ac.ir
In this paper, we obtain a suitable mathematical model for the seismic response of dams. By using the shear beam model (SB model), we give a mathematical formulation that it is a partial differential equation and transform it to the Sturm-Liouville equation.
Differential pencil,Sturm-Liouville equation,Turning point,Singularity,Embankments
http://cjms.journals.umz.ac.ir/article_857.html
http://cjms.journals.umz.ac.ir/article_857_701acbbc2eca995aa4bf64040ea0cb5b.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
On a p(x)-Kirchho equation via variational methods
17
29
EN
M.
Mirzapour
Ph. D student
mirzapour@stu.umz.ac.ir
Gh.
Alizadeh Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, Iran
afrouzi@umz.ac.ir
This paper is concerned with the existence of two non-trivial weak solutions for a p(x)-Kirchho type problem by using the mountain pass theorem of Ambrosetti and Rabinowitz and Ekeland's variational principle and the theory of the variable exponent Sobolev spaces.
Generalized Lebesgue-Sobolev spaces,Nonlocal condition,Mountain pass theorem,Ekeland's variational principle
http://cjms.journals.umz.ac.ir/article_825.html
http://cjms.journals.umz.ac.ir/article_825_5c1c325cca91747cfd021b5671cd00b1.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
10
01
Solitons And Periodic Solutions To The Generalized Zakharov-Kuznetsov Benjamin-Bona-Mahoney Equation
31
42
EN
M.
Eslami
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
This paper studies the generalized version of theZakharov-Kuznetsov Benjamin-Bona-Mahoney equation. The functionalvariable method as well as the simplest equation method areapplied to obtain solitons and singular periodic solutions to theequation. There are several constraint conditions that arenaturally revealed in order for these specialized type ofsolutions to exist. The results of this paper generalizes theprevious results that are reported in earlier publications.
Solitons,periodic solutions,integrability
http://cjms.journals.umz.ac.ir/article_1172.html
http://cjms.journals.umz.ac.ir/article_1172_0620f5f5bcc8ab0a94f90ab454446a61.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
On the Szeged and Eccentric connectivity indices of non-commutative graph of finite groups
43
49
EN
A.
Azad
Arak University
a-azad@araku.ac.ir
N.
ELahinezhad
Arak University
Let $G$ be a non-abelian group. The non-commuting graph $Gamma_G$ of $G$ is defined as the graph whose vertex set is the non-central elements of $G$ and two vertices are joined if and only if they do not commute.In this paper we study some properties of $Gamma_G$ and introduce $n$-regular $AC$-groups. Also we then obtain a formula for Szeged index of $Gamma_G$ in terms of $n$, $|Z(G)|$ and $|G|$. Moreover, we determine eccentric connectivity index of $Gamma_G$ for every non-abelian finite group $G$ in terms of the number of conjugacy classes $k(G)$ and the size of the group $G$.
non-commuting graph,eccentric connectivity index,Szeged index
http://cjms.journals.umz.ac.ir/article_683.html
http://cjms.journals.umz.ac.ir/article_683_af1ee2649810c800a26054f539aa9cf9.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
The Efficiency of Harvested Factor; Lotka-Volterra Predator-Prey Model
51
59
EN
M.H.
Rahmani Doust
Department of Mathematics, University of Neyshabur,
Neyshabur, Iran.
mh.rahmanidoust@neyshabur.ac.ir
Scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. Thus, the harvested rate is used as the control parameters. Moreover, the study of harvested population dynamics is more realistic. In the present paper, some predator-prey models in which two ecologically interacting species are harvested independently with constant or variable rates have been considered. Also, the behavior of their solutions in the global and local stability aspect have been investigated. The main aim is to present a mathematical analysis for the above model.
Equilibrium Point,Lotka-Volterra model,Predator-Prey System,Stability
http://cjms.journals.umz.ac.ir/article_1044.html
http://cjms.journals.umz.ac.ir/article_1044_00d3ed4971909d372be07a3b19b78b9c.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations
61
75
EN
Gh.
Karamali
Shahid Sattari Aeronautical University of Science and Technology
g_karamali@iust.ac.ir
M.
Koozehgar Kalleji
Shahid Sattari Aeronautical University
of Science and Technology
m-koozehgarkalleji@araku.ac.ir
Schrödinger–Maxwell system,Cerami condition,Variational methods,Strongly indefinite functionals
http://cjms.journals.umz.ac.ir/article_1079.html
http://cjms.journals.umz.ac.ir/article_1079_7a7c0951d4c86ea0a4758be49c57892d.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
Solution of the fractional Zakharov-Kuznetsov equations by reduced dierential transform method
77
85
EN
A.
Taghavi
Academic member of Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran
taghavi@umz.ac.ir
A.
Babaei
Mazandaran University
babaei@umz.ac.ir
A.
Mohammadpour
Department of Mathematics, University of Mazandaran
a.mohammadpour@stu.umz.ac.ir
In this paper an approximate analytical solution of the fractional Zakharov-Kuznetsov equations will be obtained with the help of the reduced differential transform method (RDTM).
It is in-dicated that the solutions obtained by the RDTM are reliable and present an effective method for strongly nonlinear fractional partial differential equations.
Fractional Zakharov-Kuznetsov equation,Fractional calculus,Reduced dierential transform method
http://cjms.journals.umz.ac.ir/article_685.html
http://cjms.journals.umz.ac.ir/article_685_ca2b2bff82c71fc382b252f2ec0a8b90.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
An Analysis on The Lotka-Volterra Food Chain Model: Stability
87
94
EN
M.H.
Rahmani Doust
Department of Mathematics, University of Neyshabur,
Neyshabur, Iran.
mh.rahmanidoust@neyshabur.ac.ir
The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A system of 3 nonlinear ODEs for interaction modeling of three-species food chain where intraspcies competition exists indeed is studied. The first population is the prey for the second which is prey for the third one. It is clear that it is the top of food pyramid. The techniques of linearization and first integral are employed.
Lotka-Volterra model,food chain,Competition,Linearization,Predator-Prey
http://cjms.journals.umz.ac.ir/article_783.html
http://cjms.journals.umz.ac.ir/article_783_be3b8b410dd349153c1bbdac502f675f.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2016
06
30
Parallel computing using MPI and OpenMP on self-configured platform, UMZHPC.
95
105
EN
A.
Valinejad
Department of Computer Science, Mazandaran University, Babolsar, Iran
valinejad@umz.ac.ir
V.
Sabet Akbarzadeh
Department of Computer Science, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran
v.sabet@stu.umz.ac.ir
Parallel computing is a topic of interest for a broad scientific community since it facilitates many time-consuming algorithms in different application domains.In this paper, we introduce a novel platform for parallel computing by using MPI and OpenMP programming languages based on set of networked PCs. UMZHPC is a free Linux-based parallel computing infrastructure that has been developed to create rapid high-performance computing clusters. It can convert heterogeneous PCs which interconnected by using a private Local Area Network(LAN) into a high-performance computing cluster. In this operating system, you can monitor your cluster and build it utilizing low-cost hardware. In addition, programs can be run in parallel by simply booting the portable UMZHPC from fronted node by using only a CD or USB-flash drive. All the requisite configurations to build a cluster and to run your programs will be carried out automatically via UMZHPC. We made the operating system publicly for research purposes.
Parallel computing,MPI,OpenMP,HPC
http://cjms.journals.umz.ac.ir/article_1183.html
http://cjms.journals.umz.ac.ir/article_1183_9606ab747168dbabb66f6da9d1714bfe.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
107
124
EN
Y.
liu
Department of Mathematics, Guangdong Police College, China
liuyuji888@sohu.com
X.
Yang
Guangdong University of Business Studies, China
yangxiaohui12345@sohu.com
S.
Chen
Guangdong University of Business Studies, China
shengpingchen@sohu.com
X.
Liu
Department of Mathematics,Shaoyang University, China
liuxingyuan999@sohu.com
...
multi-order fractional differential equation,Sturm-Liouville boundary value problems,fixed-point theorem
http://cjms.journals.umz.ac.ir/article_711.html
http://cjms.journals.umz.ac.ir/article_711_58d3d682d089668772ce0615543b0898.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
Some properties of Invertible Elements in Fuzzy Banach algebras
125
129
EN
R.
Parvinianzadeh
Department of Mathematics, Yasouj University,
P. O. Box 75918-74831, Yasouj,
r.parvinian@yu.ac.ir
M.
Asadi
Department of Mathematics, Yasouj University,
P. O. Box 1159-91775, Yasouj, Iran.
m_asadi97@yahoo.com
In this paper, we introduce fuzzy Banach algebra and study the properties of invertible elements and its relation with opensets. We obtain some interesting results.
Fuzzy Banach algebra,invertible elements,open set
http://cjms.journals.umz.ac.ir/article_1027.html
http://cjms.journals.umz.ac.ir/article_1027_b1463b68d4bc2cc1ebca1a3ae3258f72.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
Numerical integration using spline quasi-interpolants
139
149
EN
M.
zarebnia
Department of Mathematics, University of mohaghegh Ardabili,
zarebnia@uma.ac.ir
M.
Derakhshan
Department of Mathematics, University of mohaghegh Ardabili
m_derakhshan1367@yahoo.com
In this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.
Spline quasi-interpolants,Gregory rules,Numerical integration,Double integral
http://cjms.journals.umz.ac.ir/article_677.html
http://cjms.journals.umz.ac.ir/article_677_2376ca2bd3242ecec9636860631b8e08.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
4
1
2015
06
30
Ill-Posed and Linear Inverse Problems
131
138
EN
A.
Azizi
Department of Mathematics, Payame Noor University, PO Box 19395-3697 Tehran, I. R.
of Iran.
a.azizi@pnu.ac.ir
In this paper ill-posed linear inverse problems that arises in many applications is considered. The instability of special kind of these problems and it's relation to the kernel, is described.
For finding a stable solution to these problems we need some kind of regularization that is presented. The results have been applied for a singular equation.
Integral equations,Inverse problem,Regularization,Tikhonov Regularization Method
http://cjms.journals.umz.ac.ir/article_681.html
http://cjms.journals.umz.ac.ir/article_681_33ebe438cb9e6a842d1da2f587a14baf.pdf