University of GuilanJournal of Mathematical Modeling2345-394X7420191201On the moments of order statistics from the standard two-sided power distribution381398364510.22124/jmm.2019.12908.1252ENZuberAkhterDepartment of Statistics, University of Delhi, Delhi 110007, IndiaS.M.T.K.MirMostafaeeDepartment of Statistics,
University of Mazandaran, Babolsar, Iran.HaseebAtharDepartment of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA.Journal Article20190330In 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 GuilanJournal of Mathematical Modeling2345-394X7420191201Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane399416364610.22124/jmm.2019.13987.1300ENMajidErfanianDepartment of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran0000-0001-8449-9272HamedZeidabadiFaculty of Engineering, Sabzevar University of New Technology, Sabzevar, IranJournal Article20190807We 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 GuilanJournal of Mathematical Modeling2345-394X7420191201A new iteration method for solving non-Hermitian positive definite linear systems337347364710.22124/jmm.2019.13057.1257ENHamidehNasabzadehDepartment of Mathematics, Faculty of Basic Sciences, University of Bojnord, P. O.
Box 9453155111, Bojnord, IranJournal Article20190423In 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 GuilanJournal of Mathematical Modeling2345-394X7420191201On the complete convergence of channel hardening and favorable propagation properties in massive-MIMO communications systems429443367110.22124/jmm.2019.13513.1279ENNavidPourjafariDepartment of Electrical Engineering, University of Guilan, Rasht, Iran0000-0002-3008-9187JalilSeifali HarsiniDepartment of Electrical Engineering, University of Guilan, Rasht, IranJournal Article20190608Massive 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 GuilanJournal of Mathematical Modeling2345-394X7420191201Galerkin finite element method for forced Burgers' equation445467370910.22124/jmm.2019.13259.1265ENSunil SKumbharDepartment of Mathematics, Shivaji University, Kolhapur (Maharashtra), IndiaSaritaThakarDepartment of Mathematics, Shivaji University, Kollapur (Maharashtra), IndiaJournal Article20190513In 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 GuilanJournal of Mathematical Modeling2345-394X7420191201Stabilized IMLS based element free Galerkin method for stochastic elliptic partial differential equations469496371710.22124/jmm.2019.14278.1314ENKomeilIzadpanahFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, IranAliMesforushFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran0000-0001-9098-8953AliNazemiFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, IranJournal Article20190831In 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.