University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
06
30
Solving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation
169
179
EN
A.
Babaei
Department of Mathematics, University of Mazandaran, Babolsar, Iran
babaei@umz.ac.ir
The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, two numerical examples are investigated to illustrate this method.
Semilinear parabolic equation,Inverse problem,Unknown control
parameter,Weighted homotopy analysis method,Series solution
http://cjms.journals.umz.ac.ir/article_600.html
http://cjms.journals.umz.ac.ir/article_600_cc243241da9f458f21468d7601c3c57c.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
06
30
On the determination of asymptotic formula of the nodal points for the Sturm-Liouville equation with one turning point
181
187
EN
A.
Dabbaghian
Islamic Azad University, Neka Branch, Neka, Iran
a.dabbaghian@iauneka.ac.ir
A.
Nematy
university of mazandaran, Babolsar
namaty@umz.ac.ir
In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. Furthermore, we obtain the zeros of eigenfunctions.
Turning point,Inverse nodal problem,Nodal Points,Eigenvalues,Eigenfunctions
http://cjms.journals.umz.ac.ir/article_558.html
http://cjms.journals.umz.ac.ir/article_558_1ea2b9fea85bf459346ca1951f450d5b.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
30
GEOMETRIZATION OF HEAT FLOW ON VOLUMETRICALLY ISOTHERMAL MANIFOLDS VIA THE RICCI FLOW
189
205
EN
S.
Kumar
Department of Mathematics
Govt. P.G. Degree College, New Tehri, Tehri Garhwal, Uttarakhand,
Zip-code: 249 001, India
sandeep 2297@redimail.com; drsandeepkumar-
The present article serves the purpose of pursuing Geometrization of heat ﬂow on volumetrically isothermal manifold by means of RF approach. In this article, we have analyzed the evolution of heat equation in a 3-dimensional smooth isothermal manifold bearing characteristics of Riemannian manifold and fundamental properties of thermodynamic systems. By making use of the notions of various curvatures, we have discussed diﬀerent types of heat diﬀusion equation for our volumetrically isothermal manifold and its isothermal surfaces. Finally, we have delineated a heat diﬀusion model for such isothermal manifold and by decomposing it into isothermal surfaces we have developed equation for heat diﬀusion.
Ricci ﬂow
http://cjms.journals.umz.ac.ir/article_561.html
http://cjms.journals.umz.ac.ir/article_561_6de6a68d5e27c5911dc790944ccef16e.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
INFINITELY MANY SOLUTIONS FOR A CLASS OF P-BIHARMONIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS
207
219
EN
S.
MIR
Department of Mathematics, Payame Noor University, Tehran, Iran., P.O.Box 19395-3697
mir@phd.pnu.ac.ir
M.B.
Ghaemi
Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
mghaemi@iust.ac.ir
G.
A. Afroozi
Department of Mathematics, Faculty of Mathematics Sci- ences, University of Mazandaran, Babolsar, Iran
afrouzi@ umz.ac.ir
The existence of inﬁnitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.
http://cjms.journals.umz.ac.ir/article_562.html
http://cjms.journals.umz.ac.ir/article_562_ae95a606f7a40a69bbb2b5e89a0724c9.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
The Lotka-Volterra Predator-Prey Equations
221
225
EN
M. H.
Rahmani Doust
Department of Mathematics, University of Neyshabur, Neyshabur, Iran
mh.rahmanidoust@neyshabur.ac.ir
S.
GHolizade
Department of Mathematics, University of Neyshabur, Neyshabur, Iran
One may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. Mathematics is particulary used in the problem of predator-prey known as lotka-Volterra predator-prey equations. Indeed, differential equations is employed very much in many areas of other sciences. However, most of natural problems involve some unknown functions. In this paper, an environmental case containing two related populations of prey and predator species is studied. As the classic Lotka-Volterra assumptions are unrealistic, it is assumed that there is logistic behavior for both existing species. We see that two populations influence the size of each other.
Lotka-Volterra model,
Prey-Predator,Growth Rate
http://cjms.journals.umz.ac.ir/article_563.html
http://cjms.journals.umz.ac.ir/article_563_4f4029a1effb09c28117f6b8dcb91554.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems
227
232
EN
A.
Yazdani
Department of Mathematics, University of Mazandaran
yazdani@umz.ac.ir
S
Gharbavi
Department of Mathematics, University of Mazandara
In this paper, we solve a linear system of second-order boundary value problems by using the quadratic B-spline nite el- ement method (FEM). The performance of the method is tested on one model problem. Comparisons are made with both the analyti- cal solution and some recent results.The obtained numerical results show that the method is ecient.
Finite element method,Quadratic B-splines,Bound-
ary Value Problems
http://cjms.journals.umz.ac.ir/article_586.html
http://cjms.journals.umz.ac.ir/article_586_2e0b23260cf10fb4d2267af2db08891b.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
NOTES ON REGULAR MULTIPLIER HOPF ALGEBRAS
233
251
EN
H.
Abbasi
Department of Mathematics, Azarbaijan Shahid Madani University,
abbasi.makrani@gmail.com
G. A.
HAGHIGHATDOOST
Department of Mathematics, Azarbaijan Shahid Madani University
In this paper, we associate canonically a precyclic mod- ule to a regular multiplier Hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition
Hopf algebra,Multiplier Hopf algebra,precyclic mod-
ule
http://cjms.journals.umz.ac.ir/article_597.html
http://cjms.journals.umz.ac.ir/article_597_810a86d28e2b46757c3e3ab7ed56b836.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
The Bernoulli Ritz-collocation method to the solution of modelling the pollution of a system of lakes
253
265
EN
E.
Sokhanvar
Department of Mathematics, Kerman Graduate University of Technology, Mahan, Kerman, Iran
esokhanvar.92@gmail.com
S.
yousefi
Shahid Beheshti University
s-youse @sbu.ac.ir
Pollution has become a very serious threat to our environment. Monitoring pollution is the rst step toward planning to save the environment. The use of dierential equations, monitoring pollution has become possible. In this paper, a Ritz-collocation method is introduced to solve non-linear oscillatory systems such as modelling the pollution of a system of lakes. The method is based upon Bernoulli polynomials. These polynomials are rst presented. The Bernoulli Ritz-collocation method is then utilized to reduce modelling the pollution of a system of lakes to the solution of algebraic equations. An illustrative example is included to demonstrate the validity and applicability of the proposed method.
Bernoulli polynomials,Modelling the pollution of a system of lakes,Ritz-collocation method
http://cjms.journals.umz.ac.ir/article_598.html
http://cjms.journals.umz.ac.ir/article_598_47bcf16e4595ba834ceedd82aa7c1649.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD
267
275
EN
H.
Abbasi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
abbasi.makrani@gmail.com
G. A.
HAGHIGHATDOOST
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
gorbanali@azaruniv.ac.ir
In this paper, we introduce the structure of a groupoid associated to a vector field on a smooth manifold. We show that in the case of the $1$-dimensional manifolds, our groupoid has a smooth structure such that makes it into a Lie groupoid. Using this approach, we associated to every vector field an equivalence relation on the Lie algebra of all vector fields on the smooth manifolds.
Groupoid,Lie Groupoid
http://cjms.journals.umz.ac.ir/article_602.html
http://cjms.journals.umz.ac.ir/article_602_e01a665ec9d80a7a0fb61cac6b2f85a4.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
Operator Valued Series and Vector Valued Multiplier Spaces
277
288
EN
C.
Swartz
Mathematics Department,
New Mexico State University
Las Cruces, NM 88003,USA
cswartz@nmsu.edu
Let $X,Y$ be normed spaces with $L(X,Y)$ the space of continuous linear operators from $X$ into $Y$. If ${T_{j}}$ is a sequence in $L(X,Y)$, the (bounded) multiplier space for the series $sum T_{j}$ is defined to be [ M^{infty}(sum T_{j})={{x_{j}}in l^{infty}(X):sum_{j=1}^{infty}% T_{j}x_{j}text{ }converges} ] and the summing operator $S:M^{infty}(sum T_{j})rightarrow Y$ associated with the series is defined to be $S({x_{j}})=sum_{j=1}^{infty}T_{j}x_{j}$. In the scalar case the summing operator has been used to characterize completeness, weakly unconditionall Cauchy series, subseries and absolutely convergent series. In this paper some of these results are generalized to the case of operator valued series The corresponding space of weak multipliers is also considered.
multiplier convergent series,multipliers,compact operators,
absolutely summing operators,summing operator
http://cjms.journals.umz.ac.ir/article_625.html
http://cjms.journals.umz.ac.ir/article_625_ea36170ea52e02ae018c4557da098975.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
LI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS
289
295
EN
F.
Ayatollah Zadeh Shirazi
Faculty of Math., Stat. and Computer Science, College of Science, University of Tehran, Tehran, Iran
fatemah@khayam.ut.ac.ir
J.
Nazarian Sarkooh
Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
javad.nazariansarkooh@stu.um.ac.ir
In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$ for finite discrete $X$ with at least two elements, infinite countable set $Gamma$ and arbitrary map $varphi:GammatoGamma$, the following statements are equivalent: - the dynamical system $(X^Gamma,sigma_varphi)$ is Li-Yorke chaotic; - the dynamical system $(X^Gamma,sigma_varphi)$ has an scrambled pair; - the map $varphi:GammatoGamma$ has at least one non-quasi-periodic point.
Generalized shift,Li-Yorke chaos,Scrambled pair
http://cjms.journals.umz.ac.ir/article_651.html
http://cjms.journals.umz.ac.ir/article_651_7d6d873624d798bcdeada5358b4a3a53.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
Ginsburg-Pitaevski-Gross differential equation with the Rosen-Morse and modified Woods-Saxon potentials
297
304
EN
B.
Pourhassan
Department of Physics, Imam Hossein University, Tehran, Iran
b.pourhassan@umz.ac.ir
J.
Khalilzadeh
Department of Physics, Imam Hossein University, Tehran, Iran
javadkhalil@yahoo.com
In this paper, we consider non-linear Ginsburg-Pitaevski-Gross equation with the Rosen-Morse and modifiedWoods-Saxon potentials which is corresponding to the quantum vortices and has important applications in turbulence theory. We use the Runge- Kutta-Fehlberg approximation method to solve the resulting non-linear equation.
Quantum Vortices,Non-Linear Differential Equation,Wave Function
http://cjms.journals.umz.ac.ir/article_653.html
http://cjms.journals.umz.ac.ir/article_653_3cd3157a322a535ae4a6a25909a4bfb3.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
Simplest Equation Method for nonlinear solitary waves in Thomas- Fermi plasmas
305
316
EN
A.
Valinejad
Department of Computer Science, Mazandaran University, Babolsar, Iran
valinejad@umz.ac.ir
A.
Neirameh
Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran
a.neirameh@gonbad.ac.ir
The Thomas-Fermi (TF) equation has proved to beuseful for the treatment of many physical phenomena. In this pa-per, the traveling wave solutions of the KdV equation is investi-gated by the simplest equation method. Also, the effect of differentparameters on these solitary waves is considered. The numericalresults is conformed the good accuracy of presented method.
Simplest equation method,Thomas-Fermi plasmas,KdV equation,Ion acoustic waves
http://cjms.journals.umz.ac.ir/article_882.html
http://cjms.journals.umz.ac.ir/article_882_f5e4417be7c3ac0e79398618da6c9f60.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
3
2
2014
12
31
SOLVING FUZZY LINEAR PROGRAMMING PROBLEMS WITH LINEAR MEMBERSHIP FUNCTIONS-REVISITED
317
328
EN
B.
Farhadinia
Department of Mathematics, Quchan Institute of Engineering and Technology, Iran
Recently, Gasimov and Yenilmez proposed an approach for solving two kinds of fuzzy linear programming (FLP) problems. Through the approach, each FLP problem is first defuzzified into an equivalent crisp problem which is non-linear and even non-convex. Then, the crisp problem is solved by the use of the modified subgradient method. In this paper we will have another look at the earlier defuzzification process developed by Gasimov and Yenilmez in view of a perfectly acceptable remark in fuzzy contexts. Furthermore, it is shown that if the modified defuzzification process is used to solve FLP problems, some interesting results are appeared.
Fuzzy linear programming problems,Modified subgradient method,Fuzzy
decisive set method
http://cjms.journals.umz.ac.ir/article_557.html
http://cjms.journals.umz.ac.ir/article_557_7b0867c51246f42a8eebe333df9e6ce1.pdf