per
Quarterly Journal of Science Kharazmi University
2011-02
11
2
149
154
article
A complete linear connection induced by the Berwald connection
Esmaeil Azizpour
eazizpour@guilan.ac.ir
1
Department of Mathematical Sciences, University of Guilan, PO Box 1914, Rasht, Iran.
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.
http://jsci.khu.ac.ir/article-1-1427-en.pdf
Projective structure
Finsler structure
Finsler connection
Berwald connection
per
Quarterly Journal of Science Kharazmi University
2011-02
11
2
155
160
article
A comparison between the homotopy perturbation method and Adomian’s decomposition method for solving nonlinear Volterra integral equations
Esmaeil Babolian
babolian@saba.tmu.ac.ir
1
AR Vahidi
babolian@khu.ac.ir
2
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.
http://jsci.khu.ac.ir/article-1-1439-en.pdf
Homotopy perturbation method
Adomian’s decomposition method
Nonlinear Volterra integral equations
per
Quarterly Journal of Science Kharazmi University
2011-02
11
2
161
182
article
Direct Numerical Solution of Fractional Differential, Integral and Integro-differential Equations by Using Numerical Inversion of Laplace Transform
S Bazm
sbazm@tmu.ac.ir
1
Esmaeil babolian
babolian@khu.ac.ir
2
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.
http://jsci.khu.ac.ir/article-1-1428-en.pdf
Fractional differential equations
Fractional integral equations
Fractional integro-differential equations
Piecewise constant orthogonal func- tions
Operational matrices
Laplace transforms
inversion of Laplace trans- form
per
Quarterly Journal of Science Kharazmi University
2011-02
11
2
183
194
article
On Quasi-cofaithful Ideals
eb_hashemi@yahoo.com
1
n hajabotalebi
2
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.
http://jsci.khu.ac.ir/article-1-1441-en.pdf
1- zip rings
2- quasi-Baer rings
3- quasi-Armendariz rings
4- u.p.-monoids
5- cofaithful ideals
per
Quarterly Journal of Science Kharazmi University
2011-02
11
2
195
210
article
Numerical solution of two-dimensional nonlinear Volterra integral equations by the Legendre polynomials
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.pdf
per
Quarterly Journal of Science Kharazmi University
2011-02
11
2
211
226
article
Notes on Astragalus sect. Macrophyllium with a Cytogenetic Report on its two TYetraploid Species
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.pdf
per
Quarterly Journal of Science Kharazmi University
2011-02
11
2
227
230
article
Quasi- Secondary Submodules
Abdoljavad Taherizadeh
taheri@khu.ac.ir
1
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
http://jsci.khu.ac.ir/article-1-1451-en.pdf
quasi – secondary submodules
secondary submodules
multiplication modules