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 2019-05-20T11:23:20 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 2019-05-20T11:23:20 16 24 10.22080/cjms.2017.12082.1315 Chio&#039;s condensation Method Dodgson&#039;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 &amp;lrm;Department of Mathematics, Zanjan Branch&amp;lrm;, &amp;lrm;Islamic Azad University&amp;lrm;, &amp;lrm;Zanjan&amp;lrm;, &amp;lrm;Iran &amp;lrm;Department of Mathematics, Zanjan Branch&amp;lrm;, &amp;lrm;Islamic Azad University&amp;lrm;, &amp;lrm;Zanjan&amp;lrm;, &amp;lrm;Iran &amp;lrm;Department of Mathematics, Zanjan Branch&amp;lrm;, &amp;lrm;Islamic Azad University&amp;lrm;, &amp;lrm;Zanjan&amp;lrm;, &amp;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 2019-05-20T11:23:20 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 2019-05-20T11:23:20 36 45 10.22080/cjms.2017.1667 Semi-real quaternionic involute-evolute curve Semi-real quaternion Semi-quaternionic space Mehmet G&Uuml;NG&Ouml;R 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 2019-05-20T11:23:20 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 2019-05-20T11:23:20 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  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_7a937081522ddb1c1de650994978e8f7.pdf 2018-04-01T11:23:20 2019-05-20T11:23:20 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  E. M. Opdam, Harmonic analysis for certain representations of graded Hecke algebras,Acta Math. 175(2)(1995), 75121. 1  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  M. S. Younis , Fourier Transforms of Dini-Lipschitz Functions. Int. J. Math. Math. Sci. 9 (2),(1986), 301312. doi:10.1155/S0161171286000376. 3  S. S. Platonov, Approximation of functions in L2-metric on noncompact rank 1 symmetric space . Algebra Analiz .11(1) (1999), 244-270. 4  T. R. Johansen, Remarks on the inverse Cherednik-Opdam transform on the real line, arXiv:1502.01293v1 (2015). 5  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  V. N. Mishra, K. Khatri, and L. N. Mishra, Product (N; pn)(E; q) summability of a sequence of Fourier coecients, Mathematical Sciences (Springer open access) 6:38 (2012), DOI: 10.1186/2251 7456-6-38. 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  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  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  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  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 2019-05-20T11:23:20 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 2019-05-20T11:23:20 102 112 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