2021-09-19T03:58:16Z
https://jmm.guilan.ac.ir/?_action=export&rf=summon&issue=631
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2019
7
4
On the moments of order statistics from the standard two-sided power distribution
Zuber
Akhter
S.M.T.K.
MirMostafaee
Haseeb
Athar
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.
Coherent systems
explicit expressions
product moments
standard two-sided power distribution
2019
12
01
381
398
https://jmm.guilan.ac.ir/article_3645_4ecf2760c3392ba66bac446fe764b3d7.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2019
7
4
Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane
Majid
Erfanian
Hamed
Zeidabadi
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.
Nonlinear 2D mixed Volterra Fredholm integral equation
Haar Wavelet
Error estimation
2019
12
01
399
416
https://jmm.guilan.ac.ir/article_3646_8c986953fdba1e7d1d9141c1cbfa8ff6.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2019
7
4
A new iteration method for solving non-Hermitian positive definite linear systems
Hamideh
Nasabzadeh
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.
Non-Hermitian
HSS method
convergence Analysis
iterative Method
2019
12
01
337
347
https://jmm.guilan.ac.ir/article_3647_513e092fa2327b1e0c69d83fe2ae5f3d.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2019
7
4
On the complete convergence of channel hardening and favorable propagation properties in massive-MIMO communications systems
Navid
Pourjafari
Jalil
Seifali Harsini
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.
Massive MIMO systems
favorable propagation condition
channel hardening
stochastic convergence
Rayleigh fading
2019
12
01
429
443
https://jmm.guilan.ac.ir/article_3671_196ad0a7087d462ce7e945c273d98f22.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2019
7
4
Galerkin finite element method for forced Burgers' equation
Sunil S
Kumbhar
Sarita
Thakar
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.
Forced Burgers' equation
cubic B-splines
Galerkin Finite Element Method
Taylor series
von Neumann analysis
2019
12
01
445
467
https://jmm.guilan.ac.ir/article_3709_591a3b01d4cd1e7612de3e4197dfcf24.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2019
7
4
Stabilized IMLS based element free Galerkin method for stochastic elliptic partial differential equations
Komeil
Izadpanah
Ali
Mesforush
Ali
Nazemi
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.
Element free Galerkin method
Stabilized interpolating moving least square
Stochastic elliptic equation Error estimates
2019
12
01
469
496
https://jmm.guilan.ac.ir/article_3717_b3f10176660ee7c82a1786bc5e49442b.pdf