Quarterly Journal of Science Kharazmi University
11
2
2011
2
1
A complete linear connection induced by the Berwald connection
149
154
FA
Esmaeil
Azizpour
Department of Mathematical Sciences, University of Guilan, PO Box 1914, Rasht, Iran.
eazizpour@guilan.ac.ir
Y
By using the Berwald connection, we show that there is a linear connection ;nabla such that these are projectively equivalent and belong to the same projective structure on TM. We find a condition for the geodesics of the berwald connection under which ;nabla is complete.
Projective structure , Finsler structure , Finsler connection , Berwald connection ,
http://jsci.khu.ac.ir/article-1-1427-en.html
http://jsci.khu.ac.ir/article-1-1427-en.pdf
Quarterly Journal of Science Kharazmi University
11
2
2011
2
1
A comparison between the homotopy perturbation method and Adomian’s decomposition method for solving nonlinear Volterra integral equations
155
160
FA
Esmaeil
Babolian
babolian@saba.tmu.ac.ir
N
AR
Vahidi
babolian@khu.ac.ir
N
In this paper, we conduct a comparative study between the homotopy perturbation method (HPM) and Adomian’s decomposition method (ADM) for analytic treatment of nonlinear Volterra integral equations, and we show that the HPM with a specific convex homotopy is equivalent to the ADM for these type of equations.
Homotopy perturbation method , Adomian’s decomposition method , Nonlinear Volterra integral equations ,
http://jsci.khu.ac.ir/article-1-1439-en.html
http://jsci.khu.ac.ir/article-1-1439-en.pdf
Quarterly Journal of Science Kharazmi University
11
2
2011
2
1
Direct Numerical Solution of Fractional Differential, Integral and Integro-differential Equations by Using Numerical Inversion of Laplace Transform
161
182
FA
S
Bazm
sbazm@tmu.ac.ir
N
Esmaeil
babolian
babolian@khu.ac.ir
N
In this paper, we use operational matrices of piecewise constant orthog- onal functions on the interval [0,1] to solve fractional differential , integral and integro-differential equations without solving any system. We first ob- tain Laplace transform of the problem and then we find numerical inversion of Laplace transform by operational matrices. Numerical examples show that the approximate solutions have a good degree of accuracy.
Fractional differential equations , Fractional integral equations , Fractional integro-differential equations , Piecewise constant orthogonal func- tions , Operational matrices , Laplace transforms , inversion of Laplace trans- form ,
http://jsci.khu.ac.ir/article-1-1428-en.html
http://jsci.khu.ac.ir/article-1-1428-en.pdf
Quarterly Journal of Science Kharazmi University
11
2
2011
2
1
On Quasi-cofaithful Ideals
183
194
FA
eb_hashemi@yahoo.com
Y
n
hajabotalebi
N
We introduce quasi-cofaithful ideals which is a generalization of cofaithful ideals, and investigate their properties. We say a faithful ideal $I$ is textit{quasi-cofaithful} if $I$ contains a finitely generated faithful ideal $I_1$. We show that every faithful ideal of $R$ is quasi-cofaithful if and only if every faithful ideal of $M_n(R)$ is quasi-cofaithful. We show that if $R$ has the descending chain condition on right annihilators of right ideals, then each faithful ideal of $R$ is quasi-cofaithful. For a u.p.-monoid $M$, it is shown that if $R$ is a quasi-Baer ring, then each faithful ideal of $R$ is quasi-cofaithful if and only if each faithful ideal of monoid ring $R[M]$ is quasi-cofaithful.
1- zip rings , 2- quasi-Baer rings , 3- quasi-Armendariz rings , 4- u.p.-monoids , 5- cofaithful ideals ,
http://jsci.khu.ac.ir/article-1-1441-en.html
http://jsci.khu.ac.ir/article-1-1441-en.pdf
Quarterly Journal of Science Kharazmi University
11
2
2011
2
1
Numerical solution of two-dimensional nonlinear Volterra integral equations by the Legendre polynomials
195
210
FA
The main purpose of this article is to present an approximate solution for the two-dimensional nonlinear Volterra integral equations using Legendre orthogonal polynomials. First, the two-dimensional shifted Legendre orthogonal polynomials are defined and the properties of these polynomials are presented. The operational matrix of integration and the product operational matrix are introduced. These properties together with the Gauss-Legendre nodes are then utilized to transform the given integral equation to the solution of nonlinear algebraic equations. Also, an estimation of the error is presented. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
http://jsci.khu.ac.ir/article-1-1460-en.html
http://jsci.khu.ac.ir/article-1-1460-en.pdf
Quarterly Journal of Science Kharazmi University
11
2
2011
2
1
Notes on Astragalus sect. Macrophyllium with a Cytogenetic Report on its two TYetraploid Species
211
226
FA
Habit and pollen morphology were studied in four taxa belonging to Astragalus sect. Macrophyllium in Iran. Data obtained from pollen morphology support the phenetic grouping based on habit morphology. In addition, meiotic chromosome number and behavior were analyzed in two species of the section. The species were cytogenetically analyzed and found to be tetraploid and possess a 2n = 4x = 32 chromosome number consistent with the proposed base number of x = 8 for the section from the check list of Legumes of Northern Eurasia. The taxa displayed an almost regular bivalent pairing and chromosome segregation at meiosis. However, some meiotic abnormalities observed here included varied degrees of chromosome stickiness and laggards in telophase I and II, asynchronous nuclei in telophase I, multipolar cells and cytomixis.
http://jsci.khu.ac.ir/article-1-1461-en.html
http://jsci.khu.ac.ir/article-1-1461-en.pdf
Quarterly Journal of Science Kharazmi University
11
2
2011
2
1
Quasi- Secondary Submodules
227
230
FA
Abdoljavad
Taherizadeh
taheri@khu.ac.ir
Y
Let R be a commutative ring with non-zero identity and M be a unital R-module. Then the concept of quasi-secondary submodules of M is introduced and some results concerning this class of submodules is obtained
quasi – secondary submodules , secondary submodules , multiplication modules ,
http://jsci.khu.ac.ir/article-1-1451-en.html
http://jsci.khu.ac.ir/article-1-1451-en.pdf