A Meshless Method for Numerical Solution of Fractional Differential Equations
A.
golbabai
Department of Applied Mathematics, Iran University Science and
Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran.
author
O.
Nikan
Department of Applied Mathematics, Iran University Science and
Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
1
8
http://cjms.journals.umz.ac.ir/article_678_9d9ae5fe141c89fa9265cd72ec09d979.pdf
Use of the Sturm-Liouville problems in the seismic response of earth dams and embankments
A. A.
Neamaty
University of Mazandaran
author
Y.
Khalili
University of Mazandaran
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
9
15
http://cjms.journals.umz.ac.ir/article_857_701acbbc2eca995aa4bf64040ea0cb5b.pdf
On a p(x)-Kirchho equation via variational methods
M.
Mirzapour
Ph. D student
author
Gh.
Alizadeh Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, Iran
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
17
29
http://cjms.journals.umz.ac.ir/article_825_5c1c325cca91747cfd021b5671cd00b1.pdf
Solitons And Periodic Solutions To The Generalized Zakharov-Kuznetsov Benjamin-Bona-Mahoney Equation
M.
Eslami
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
31
42
http://cjms.journals.umz.ac.ir/article_1172_0620f5f5bcc8ab0a94f90ab454446a61.pdf
On the Szeged and Eccentric connectivity indices of non-commutative graph of finite groups
A.
Azad
Arak University
author
N.
ELahinezhad
Arak University
author
text
article
2015
eng
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 $G$.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
43
49
http://cjms.journals.umz.ac.ir/article_683_af1ee2649810c800a26054f539aa9cf9.pdf
The Efficiency of Harvested Factor; Lotka-Volterra Predator-Prey Model
M.H.
Rahmani Doust
Department of Mathematics, University of Neyshabur,
Neyshabur, Iran.
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
51
59
http://cjms.journals.umz.ac.ir/article_1044_00d3ed4971909d372be07a3b19b78b9c.pdf
Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations
Gh.
Karamali
Shahid Sattari Aeronautical University of Science and Technology
author
M.
Koozehgar Kalleji
Shahid Sattari Aeronautical University
of Science and Technology
author
text
article
2015
eng
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
61
75
http://cjms.journals.umz.ac.ir/article_1079_7a7c0951d4c86ea0a4758be49c57892d.pdf
Solution of the fractional Zakharov-Kuznetsov equations by reduced dierential transform method
A.
Taghavi
Academic member of Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran
author
A.
Babaei
Mazandaran University
author
A.
Mohammadpour
Department of Mathematics, University of Mazandaran
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
77
85
http://cjms.journals.umz.ac.ir/article_685_ca2b2bff82c71fc382b252f2ec0a8b90.pdf
An Analysis on The Lotka-Volterra Food Chain Model: Stability
M.H.
Rahmani Doust
Department of Mathematics, University of Neyshabur,
Neyshabur, Iran.
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
87
94
http://cjms.journals.umz.ac.ir/article_783_be3b8b410dd349153c1bbdac502f675f.pdf
Parallel computing using MPI and OpenMP on self-configured platform, UMZHPC.
A.
Valinejad
Department of Computer Science, Mazandaran University, Babolsar, Iran
author
V.
Sabet Akbarzadeh
Department of Computer Science, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran
author
text
article
2016
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2016
95
105
http://cjms.journals.umz.ac.ir/article_1183_9606ab747168dbabb66f6da9d1714bfe.pdf
Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
Y.
liu
Department of Mathematics, Guangdong Police College, China
author
X.
Yang
Guangdong University of Business Studies, China
author
S.
Chen
Guangdong University of Business Studies, China
author
X.
Liu
Department of Mathematics,Shaoyang University, China
author
text
article
2015
eng
...
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
107
124
http://cjms.journals.umz.ac.ir/article_711_58d3d682d089668772ce0615543b0898.pdf
Some properties of Invertible Elements in Fuzzy Banach algebras
R.
Parvinianzadeh
Department of Mathematics, Yasouj University,
P. O. Box 75918-74831, Yasouj,
author
M.
Asadi
Department of Mathematics, Yasouj University,
P. O. Box 1159-91775, Yasouj, Iran.
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
125
129
http://cjms.journals.umz.ac.ir/article_1027_b1463b68d4bc2cc1ebca1a3ae3258f72.pdf
Ill-Posed and Linear Inverse Problems
A.
Azizi
Department of Mathematics, Payame Noor University, PO Box 19395-3697 Tehran, I. R.
of Iran.
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
131
138
http://cjms.journals.umz.ac.ir/article_681_33ebe438cb9e6a842d1da2f587a14baf.pdf
Numerical integration using spline quasi-interpolants
M.
zarebnia
Department of Mathematics, University of mohaghegh Ardabili,
author
M.
Derakhshan
Department of Mathematics, University of mohaghegh Ardabili
author
text
article
2015
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
4
v.
1
no.
2015
139
149
http://cjms.journals.umz.ac.ir/article_677_2376ca2bd3242ecec9636860631b8e08.pdf