University of Guilan Journal of Mathematical Modeling 2345-394X 7 4 2019 12 01 On the moments of order statistics from the standard two-sided power distribution 381 398 3645 10.22124/jmm.2019.12908.1252 EN Zuber Akhter Department of Statistics, University of Delhi, Delhi 110007, India S.M.T.K. MirMostafaee Department of Statistics, University of Mazandaran, Babolsar, Iran. Haseeb Athar Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA. Journal Article 2019 03 30 In this paper, we obtain  new explicit expressions for the single and product moments of order statistics from the standard two-sided power (STSP) distribution. These expressions can be used to compute the means, variances and the covariances of order statistics from the STSP distribution. We also have a glance at the application of the results  to the lifetimes of the coherent systems.  Two real data examples are given to illustrate the flexibility of the STSP distribution.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 4 2019 12 01 Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane 399 416 3646 10.22124/jmm.2019.13987.1300 EN Majid Erfanian Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran 0000-0001-8449-9272 Hamed Zeidabadi Faculty of Engineering, Sabzevar University of New Technology, Sabzevar, Iran Journal Article 2019 08 07 We present a method for calculating the numerical approximation of the   two-dimensional mixed Volterra Fredholm integral equations, using the properties of the rationalized Haar (RH) wavelets and the matrix operator.  Attaining this purpose, first, an operator and then an orthogonal projection should be defined. Regarding the characteristics of Haar wavelet, we solve the integral equation without using common mathematical methods. An upper bound and the convergence of the mentioned method have been proved, by using the Banach fixed point. Moreover, the rate of the convergence  method is  \$O(n(2q) ^n)\$. Finally, several examples of different kinds of functions are presented and solved by this method.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 4 2019 12 01 A new iteration method for solving non-Hermitian positive definite linear systems 337 347 3647 10.22124/jmm.2019.13057.1257 EN Hamideh Nasabzadeh Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P. O. Box 9453155111, Bojnord, Iran Journal Article 2019 04 23 In this paper, based on the single-step Hermitian and Skew-Hermitian (SHSS) iteration method [C.-X. Li, S.-L. Wu, A single-step method for non-Hermitian positive definite linear systems, Appl. Math. Lett. 44 (2015) 26-29] and by using the generalized Taylor  expansion method for solving linear systems [F. Toutounian, H. Nasabzadeh, A new method based on the generalized Taylor expansion for computing a series solution of linear systems, Appl. Math. Comput. 248 (2014) 602-609], a new method (GT-SHSS) is introduced to solve non-Hermitian positive definite linear systems. The convergence properties of the new method are discussed. We show that by using suitable parameters, the GT-SHSS iteration method is faster than the corresponding SHSS iteration method. The numerical examples confirm the effectiveness of the new method.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 4 2019 12 01 On the complete convergence of channel hardening and favorable propagation properties in massive-MIMO communications systems 429 443 3671 10.22124/jmm.2019.13513.1279 EN Navid Pourjafari Department of Electrical Engineering, University of Guilan, Rasht, Iran 0000-0002-3008-9187 Jalil Seifali Harsini Department of Electrical Engineering, University of Guilan, Rasht, Iran Journal Article 2019 06 08 Massive MIMO is known as a core technology for future 5G networks. The major advantage of massive MIMO over the conventional MIMO systems is that different mobile users are allowed to communicate in the same time-frequency resources while the resultant severe interferences can be eliminated using linear signal processing schemes. This is a consequence of the favorable propagation condition and channel hardening which are known as two basic limiting results in mathematics. In this paper we propose new stochastic convergence proofs for these limiting results in terms of the complete convergence in a massive MIMO system with uncorrelated Rayleigh fading.<br /><br />
University of Guilan Journal of Mathematical Modeling 2345-394X 7 4 2019 12 01 Galerkin finite element method for forced Burgers' equation 445 467 3709 10.22124/jmm.2019.13259.1265 EN Sunil S Kumbhar Department of Mathematics, Shivaji University, Kolhapur (Maharashtra), India Sarita Thakar Department of Mathematics, Shivaji University, Kollapur (Maharashtra), India Journal Article 2019 05 13 In this paper second order explicit Galerkin finite element method based on cubic B-splines is constructed to compute numerical solutions of one dimensional nonlinear forced Burgers' equation. Taylor series expansion is used to obtain time discretization. Galerkin finite element method is set up for the constructed time discretized form. Stability of the corresponding linearized scheme is studied by using von Neumann analysis. The accuracy, efficiency, applicability and reliability of the present method is demonstrated by comparing numerical solutions of some test examples obtained by the proposed method with the exact and numerical solutions available in literature.
University of Guilan Journal of Mathematical Modeling 2345-394X 7 4 2019 12 01 Stabilized IMLS based element free Galerkin method for stochastic elliptic partial differential equations 469 496 3717 10.22124/jmm.2019.14278.1314 EN Komeil Izadpanah Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran Ali Mesforush Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran 0000-0001-9098-8953 Ali Nazemi Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran Journal Article 2019 08 31 In this paper, we propose a numerical method to solve the elliptic stochastic partial differential equations (SPDEs) obtained by Gaussian noises using an element free Galerkin method based on stabilized interpolating moving least square shape functions. The error estimates of the method is presented. The method is tested via several problems. The numerical results show the usefulness and  accuracy of the new method.