University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum
1
15
EN
Gholamreza
Karamali
Shahid Sattari Aeronautical University of Science and
Technology, South Mehrabad, Tehran, Iran.
g_karamali@iust.ac.ir
Babak
Shiri
Shahid Sattari Aeronautical University of Science and Technology
shiri@tabrizu.ac.ir
10.22080/cjms.2017.1699
In this paper, we solve higher index differential algebraic equations (DAEs) by transforming them into integral algebraic equations (IAEs). We apply collocation methods on continuous piece-wise polynomials space to solve the obtained higher index IAEs. The efficiency of the given method is improved by using a recursive formula for computing the integral part. Finally, we apply the obtained algorithm to solve a trajectory-prescribed path control problem and a model of simple pendulum. The numerical experiments show efficiency of the given techniques.
Differential algebraic equations,integral algebraic equations,trajectory-prescribed path control problem,simple pendulum,continuous piecewise collocation methods
http://cjms.journals.umz.ac.ir/article_1699.html
http://cjms.journals.umz.ac.ir/article_1699_d3e43912fc1e4f9bc92d5578341aa639.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
A New Method for Computing Determinants By Reducing The Orders By Two
16
24
EN
Hossein
Teimoori
Faal
Department of
Mathematics and Computer Science,
Allameh Tabatabai University of Tehran
hossein.teimoori@gmail.com
Morteza
Bayat
&lrm;Department of Mathematics, Zanjan Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Zanjan&lrm;, &lrm;Iran
baayyaatt@gmail.com
10.22080/cjms.2017.12082.1315
In this paper we will present a new method to calculate determinants of square matrices. The method is based on the Chio-Dodgson's condensation formula and our approach automatically affects in reducing the order of determinants by two. Also, using the Chio's condensation method we present an inductive proof of Dodgson's determinantal identity.
Chio's condensation Method,Dodgson's Condensation Method,determinants,determinantal identity,Laplace expansion
http://cjms.journals.umz.ac.ir/article_1701.html
http://cjms.journals.umz.ac.ir/article_1701_add4a3a457e1fe68510955297f333a40.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
Bounds on First Reformulated Zagreb Index of Graph
25
35
EN
K
Pattabiraman
Annamalai University
pramank@gmail.com
A
Santhakumar
Annai Teresa College of Engineering
santha.santhasulo.kumar8@gmail.com
10.22080/cjms.2017.11901.1307
The first reformulated Zagreb index $EM_1(G)$ of a simple graph $G$ is defined as the sum of the terms $(d_u+d_v-2)^2$ over all edges $uv$ of $G .$ In this paper, the various upper and lower bounds for the first reformulated Zagreb index of a connected graph interms of other topological indices are obtained.
Topological index,Zagreb index,reformulated Zagreb index
http://cjms.journals.umz.ac.ir/article_1716.html
http://cjms.journals.umz.ac.ir/article_1716_6f789ebd7572066d3e0a5fd9a4df2328.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
On the Quaternionic Curves in the Semi-Euclidean Space E_4_2
36
45
EN
Mehmet
Ali
GÜNGÖR
Sakarya University
agungor@sakarya.edu.tr
Tulay
Erisir
Sakarya University
tsoyfidan@sakarya.edu.tr
10.22080/cjms.2017.1667
In this study, we investigate the semi-real quaternionic curves in the semi-Euclidean space E_4_2. Firstly, we introduce algebraic properties of semi-real quaternions. Then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E42 . Finally, we give an example illustrated with Mathematica Programme.
Semi-real quaternionic involute-evolute curve,Semi-real quaternion,Semi-quaternionic space
http://cjms.journals.umz.ac.ir/article_1667.html
http://cjms.journals.umz.ac.ir/article_1667_4c7ec1abae5e7956d06cb5d07fd0a742.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
Broadcast Routing in Wireless Ad-Hoc Networks: A Particle Swarm optimization Approach
46
67
EN
Ahmad
Moradi
Department of Computer Science, Faculty of Mathematics, Mazandaran University
a.moradi@umz.ac.ir
10.22080/cjms.2017.1718
While routing in multi-hop packet radio networks (static Ad-hoc wireless networks), it is crucial to minimize power consumption since nodes are powered by batteries of limited capacity and it is expensive to recharge the device. This paper studies the problem of broadcast routing in radio networks. Given a network with an identified source node, any broadcast routing is considered as a directed tree rooted at the source node and spans all nodes. Since the problem is known to be NP-Hard, we try to tackle it heuristically. First we propose an efficient Particle Swarm Optimization (PSO) based algorithm with a proper coding schema. Then we present the second algorithm which combines the global search of the first algorithm with a local search strategy based on noising methods. Comprehensive experimental study is devoted to compare the behavior of the algorithms and to show its priority over the best known previous esults.
Particle Swarm Optimization,Broadcast Routing,Wireless Ad Hoc Network,Noising method
http://cjms.journals.umz.ac.ir/article_1718.html
http://cjms.journals.umz.ac.ir/article_1718_1a23141ac1600b34bb76e5958d326225.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
Solving Inverse Sturm-Liouville Problems with Transmission Conditions on Two Disjoint Intervals
68
79
EN
Seyfollah
Mosazadeh
University of Kashan
s.mosazadeh@kashanu.ac.ir
10.22080/cjms.2017.12406.1319
In the present paper, some spectral properties of boundary value problems of Sturm-Liouville type on two disjoint bounded intervals with transmission boundary conditions are investigated. Uniqueness theorems for the solution of the inverse problem are proved, then we study the reconstructing of the coefficients of the Sturm-Liouville problem by the spectrtal mappings method.
Inverse Sturm-Liouville problem,Asymptotic behavior,Transmission conditions,Weyl-Titchmarsh $m$-function,Spectrtal mappings method
http://cjms.journals.umz.ac.ir/article_1717.html
http://cjms.journals.umz.ac.ir/article_1717_b572a927b2e312022f576a2c5d2c0472.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
Growth Properties of the Cherednik-Opdam Transform in the Space Lp
80
87
EN
Salah
El ouadih
FACULTE OF SCIENCE
salahwadih@gmail.com
Radouan
Daher
University Hassan II, Casablanca, Morocco
rjdaher024@gmail.com
10.22080/cjms.2017.1666
In this paper, using a generalized translation operator, we obtain a generalization of Younis Theorem 5.2 in [3] for the Cherednik-Opdam transform for functions satisfying the $(delta,gamma,p)$-Cherednik-Opdam Lipschitz condition in the space $L^{p}_{alpha,beta}(mathbb{R})$.
Cherednik-Opdam operator,Cherednik-Opdam transform,Generalized translation
http://cjms.journals.umz.ac.ir/article_1666.html
http://cjms.journals.umz.ac.ir/article_1666_dd98df09d07af44a89ddbfab0ac91f2e.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
Using shifted Legendre scaling functions for solving fractional biochemical reaction problem
88
101
EN
Haman
Deilami Azodi
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
haman.d.azodi@gmail.com
10.22080/cjms.2018.13806.1335
In this paper, biochemical reaction problem is given in the form of a system of non-linear differential equations involving Caputo fractional derivative. The aim is to suggest an instrumental scheme to approximate the solution of this problem. To achieve this goal, the fractional derivation terms are expanded as the elements of shifted Legendre scaling functions. Then, applying operational matrix of fractional integration and collocation technique, the main problem is transformed to a set of non-linear algebraic equations. This obtained algebraic system can be solved by available standard iterative procedures. Numerical results of applying the proposed method are investigated in details
Legendre scaling functions,Fractional biochemical reaction problem,Caputo derivative,Collocation method
http://cjms.journals.umz.ac.ir/article_1782.html
http://cjms.journals.umz.ac.ir/article_1782_8cbc1554b05487a5469c240b9255e8ab.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
7
1
2018
04
01
An effective method for approximating the solution of singular integral equations with Cauchy kernel type
102
112
EN
Ahmad
Shahsavaran
Islamic azad university of Borujerd
a.shahsavaran@iaub.ac.ir
Mahmood
Paripour
Hamedan University of Technology, Hamedan, Iran
m_paripour@yahoo.com
10.22080/cjms.2017.1700
In present paper, a numerical approach for solving Cauchy type singular integral equations is discussed. Lagrange interpolation with Gauss Legendre quadrature nodes and Taylor series expansion are utilized to reduce the computation of integral equations into some algebraic equations. Finally, five examples with exact solution are given to show efficiency and applicability of the method. Also, we give the maximum of computed absolute errors for some examples.
Singular integral equation,Cauchy kernel,Lagrange interpolation,Taylor series expansion,Gauss Legendre
http://cjms.journals.umz.ac.ir/article_1700.html
http://cjms.journals.umz.ac.ir/article_1700_fc769e08ba66a8122f8eff18f84976e8.pdf