ORIGINAL_ARTICLE
Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum
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.
http://cjms.journals.umz.ac.ir/article_1699_d3e43912fc1e4f9bc92d5578341aa639.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
1
15
10.22080/cjms.2017.1699
Differential algebraic equations
integral algebraic equations
trajectory-prescribed path control problem
simple pendulum
continuous piecewise collocation methods
Gholamreza
Karamali
g_karamali@iust.ac.ir
true
1
Shahid Sattari Aeronautical University of Science and
Technology, South Mehrabad, Tehran, Iran.
Shahid Sattari Aeronautical University of Science and
Technology, South Mehrabad, Tehran, Iran.
Shahid Sattari Aeronautical University of Science and
Technology, South Mehrabad, Tehran, Iran.
LEAD_AUTHOR
Babak
Shiri
shiri@tabrizu.ac.ir
true
2
Shahid Sattari Aeronautical University of Science and Technology
Shahid Sattari Aeronautical University of Science and Technology
Shahid Sattari Aeronautical University of Science and Technology
AUTHOR
ORIGINAL_ARTICLE
A New Method for Computing Determinants By Reducing The Orders By Two
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.
http://cjms.journals.umz.ac.ir/article_1701_add4a3a457e1fe68510955297f333a40.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
16
24
10.22080/cjms.2017.12082.1315
Chio's condensation Method
Dodgson's Condensation Method
determinants
determinantal identity
Laplace expansion
Hossein
Faal
hossein.teimoori@gmail.com
true
1
Department of
Mathematics and Computer Science,
Allameh Tabatabai University of Tehran
Department of
Mathematics and Computer Science,
Allameh Tabatabai University of Tehran
Department of
Mathematics and Computer Science,
Allameh Tabatabai University of Tehran
LEAD_AUTHOR
Morteza
Bayat
baayyaatt@gmail.com
true
2
&lrm;Department of Mathematics, Zanjan Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Zanjan&lrm;, &lrm;Iran
&lrm;Department of Mathematics, Zanjan Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Zanjan&lrm;, &lrm;Iran
&lrm;Department of Mathematics, Zanjan Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Zanjan&lrm;, &lrm;Iran
AUTHOR
ORIGINAL_ARTICLE
Bounds on First Reformulated Zagreb Index of Graph
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.
http://cjms.journals.umz.ac.ir/article_1716_6f789ebd7572066d3e0a5fd9a4df2328.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
25
35
10.22080/cjms.2017.11901.1307
Topological index
Zagreb index
reformulated Zagreb index
K
Pattabiraman
pramank@gmail.com
true
1
Annamalai University
Annamalai University
Annamalai University
LEAD_AUTHOR
A
Santhakumar
santha.santhasulo.kumar8@gmail.com
true
2
Annai Teresa College of Engineering
Annai Teresa College of Engineering
Annai Teresa College of Engineering
AUTHOR
ORIGINAL_ARTICLE
On the Quaternionic Curves in the Semi-Euclidean Space E_4_2
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.
http://cjms.journals.umz.ac.ir/article_1667_4c7ec1abae5e7956d06cb5d07fd0a742.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
36
45
10.22080/cjms.2017.1667
Semi-real quaternionic involute-evolute curve
Semi-real quaternion
Semi-quaternionic space
Mehmet
GÜNGÖR
agungor@sakarya.edu.tr
true
1
Sakarya University
Sakarya University
Sakarya University
LEAD_AUTHOR
Tulay
Erisir
tsoyfidan@sakarya.edu.tr
true
2
Sakarya University
Sakarya University
Sakarya University
AUTHOR
ORIGINAL_ARTICLE
Broadcast Routing in Wireless Ad-Hoc Networks: A Particle Swarm optimization Approach
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.
http://cjms.journals.umz.ac.ir/article_1718_1a23141ac1600b34bb76e5958d326225.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
46
67
10.22080/cjms.2017.1718
Particle Swarm Optimization
Broadcast Routing
Wireless Ad Hoc Network
Noising method
Ahmad
Moradi
a.moradi@umz.ac.ir
true
1
Department of Computer Science, Faculty of Mathematics, Mazandaran University
Department of Computer Science, Faculty of Mathematics, Mazandaran University
Department of Computer Science, Faculty of Mathematics, Mazandaran University
LEAD_AUTHOR
ORIGINAL_ARTICLE
Solving Inverse Sturm-Liouville Problems with Transmission Conditions on Two Disjoint Intervals
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.
http://cjms.journals.umz.ac.ir/article_1717_b572a927b2e312022f576a2c5d2c0472.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
68
79
10.22080/cjms.2017.12406.1319
Inverse Sturm-Liouville problem
Asymptotic behavior
Transmission conditions
Weyl-Titchmarsh $m$-function
Spectrtal mappings method
Seyfollah
Mosazadeh
s.mosazadeh@kashanu.ac.ir
true
1
University of Kashan
University of Kashan
University of Kashan
LEAD_AUTHOR
ORIGINAL_ARTICLE
Growth Properties of the Cherednik-Opdam Transform in the Space Lp
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 $L^{p}_{\alpha,\beta}(\mathbb{R})$.
http://cjms.journals.umz.ac.ir/article_1666_dd98df09d07af44a89ddbfab0ac91f2e.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
80
87
10.22080/cjms.2017.1666
Cherednik-Opdam operator
Cherednik-Opdam transform
Generalized translation
Salah
El ouadih
salahwadih@gmail.com
true
1
FACULTE OF SCIENCE
FACULTE OF SCIENCE
FACULTE OF SCIENCE
LEAD_AUTHOR
Radouan
Daher
rjdaher024@gmail.com
true
2
University Hassan II, Casablanca, Morocco
University Hassan II, Casablanca, Morocco
University Hassan II, Casablanca, Morocco
AUTHOR
[1] E. M. Opdam, Harmonic analysis for certain representations of graded Hecke algebras,Acta Math. 175(2)(1995), 75121.
1
[2] J. P. Anker, F. Ayadi, and M. Si, Opdams hypergeometric functions: product formula and convolution structure in dimension 1, Adv. Pure Appl. Math. 3(1) (2012), 1144.
2
[3] M. S. Younis , Fourier Transforms of Dini-Lipschitz Functions. Int. J. Math. Math. Sci. 9 (2),(1986), 301312. doi:10.1155/S0161171286000376.
3
[4] S. S. Platonov, Approximation of functions in L2-metric on noncompact rank 1 symmetric space . Algebra Analiz .11(1) (1999), 244-270.
4
[5] T. R. Johansen, Remarks on the inverse Cherednik-Opdam transform on the real line, arXiv:1502.01293v1 (2015).
5
[6] M. L. Mittal and V. N. Mishra, Approximation of signals (functions) belonging to the Weighted W(Lp; (t)), (p 1)-Class by almost matrix summability method of its Fourier series, Int. J. of Math. Sci. and Engg.
6
Appls. 2 (2008), No. IV, 1- 9.
7
[7] V. N. Mishra, K. Khatri, and L. N. Mishra, Product (N; pn)(E; q) summability of a sequence of Fourier coecients, Mathematical Sciences (Springer open access) 6:38 (2012), DOI: 10.1186/2251 7456-6-38.
8
[8] V. N. Mishra, K. Khatri, and L. N. Mishra, Using linear operators to approximate signals of Lip(; p), (p 1)-class, Filomat 27:2 (2013), 355-365.
9
[9] V. N. Mishra, K. Khatri, and L. N. Mishra, Product summability transform of conjugate series of Fourier series, International Journal of Mathematics and Mathematical Sciences Article ID 298923 (2012), 13 pages, DOI: 10.1155/2012/298923.
10
[10] V. N. Mishra, K. Khatri, and L. N. Mishra, Approximation of functions belonging to Lip((t); r) class by (N; pn)(C; 1) summability of conjugate series of Fourier series, Journal of Inequalities and Applications (2012), doi:10.1186/1029-242X-2012-296.
11
[11] L. N. Mishra, V. N. Mishra, K. Khatri, and Deepmala, On the trigonometric approximation of signals belonging to beneralized weighted lipschitz Lip((t); r), r 1, class by matrix (C1;Np) operator of conjugate series of its Fourier series, Applied Mathematics and Computation, 237 (2014) 252263. DOI: 10.1016/j.amc.2014.03.085.
12
[12] V. N. Mishra and L. N. Mishra, Trigonometric approximation in Lp, (p 1)-spaces. Int. J. Contemp. Math. Sci. 7, 909-918 (2012).
13
ORIGINAL_ARTICLE
Using shifted Legendre scaling functions for solving fractional biochemical reaction problem
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
http://cjms.journals.umz.ac.ir/article_1782_8cbc1554b05487a5469c240b9255e8ab.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
88
101
10.22080/cjms.2018.13806.1335
Legendre scaling functions
Fractional biochemical reaction problem
Caputo derivative
Collocation method
Haman
Deilami Azodi
haman.d.azodi@gmail.com
true
1
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
An effective method for approximating the solution of singular integral equations with Cauchy kernel type
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.
http://cjms.journals.umz.ac.ir/article_1700_fc769e08ba66a8122f8eff18f84976e8.pdf
2018-04-01T11:23:20
2018-10-21T11:23:20
102
112
10.22080/cjms.2017.1700
Singular integral equation
Cauchy kernel
Lagrange interpolation
Taylor series expansion
Gauss Legendre
Ahmad
Shahsavaran
a.shahsavaran@iaub.ac.ir
true
1
Islamic azad university of Borujerd
Islamic azad university of Borujerd
Islamic azad university of Borujerd
LEAD_AUTHOR
Mahmood
Paripour
m_paripour@yahoo.com
true
2
Hamedan University of Technology, Hamedan, Iran
Hamedan University of Technology, Hamedan, Iran
Hamedan University of Technology, Hamedan, Iran
AUTHOR