2021
9
1
0
0
1

A moving kriging interpolationbased meshfree method for solving twophase elasticity system
https://jmm.guilan.ac.ir/article_4186.html
10.22124/jmm.2020.17088.1484
1
The elasticity interface problems occur frequently when two or more materials meet. In this paper, a meshfree point collocation method based on moving kriging interpolation is proposed for solving the twophase elasticity system with an arbitrary interface. The moving kriging shape function and its derivatives are constructed by moving kriging interpolation technique. Since the shape function possesses the Kronecker delta property then the Dirichlet boundary condition can be implemented directly and easily. Numerical results demonstrate the accuracy and efficiency of the proposed method for the studied problems with constant and variable coefficients.
0

1
12


Ameneh
Taleei
Department of Mathematics, Shiraz University of Technology, Shiraz, Iran
Iran
a.taleei@sutech.ac.ir
Twophase elasticity system
meshfree method
moving kriging interpolation (MKI)
interface problems
1

A combined dictionary learning and TV model for image restoration with convergence analysis
https://jmm.guilan.ac.ir/article_4187.html
10.22124/jmm.2020.15408.1369
1
We consider in this paper the $l_0$norm based dictionary learning approach combined with total variation regularization for the image restoration problem. It is formulated as a nonconvex nonsmooth optimization problem. Despite that this image restoration model has been proposed in many works, it remains important to ensure that the considered minimization method satisfies the global convergence property, which is the main objective of this work. Therefore, we employ the proximal alternating linearized minimization method whereby we demonstrate the global convergence of the generated sequence to a critical point. The results of several experiments demonstrate the performance of the proposed algorithm for image restoration.
0

13
30


Souad
Mohaoui
Department of mathematics, University of Cadi Ayad, Marrakesh, Morocco
Iran
souad.mohaoui@ced.uca.ma


Abdelilah
Hakim
Department of mathematics, University of Cadi Ayad, Marrakesh, Morocco
Iran
a.hakim@uca.ma


Said
Raghay
Department of mathematics, University of Cadi Ayad, Marrakesh, Morocco
Iran
s.raghay@uca.ma
Image deblurring
dictionary learning
sparse approximation
total variation
proximal methods
nonconvex optimization
1

Lower bound approximation of nonlinear basket option with jumpdiffusion
https://jmm.guilan.ac.ir/article_4226.html
10.22124/jmm.2020.16126.1408
1
We extend the method presented by Xu and Zheng (Int. J. Theor. Appl. Finance 17 (2014) 2136) for the general case. We develop a numericalanalytic formula for pricing nonlinear basket options with jumpdiffusion model. We derive an easily computed method by using the asymptotic expansion to find the approximate value of the lower bound of nonlinear European basket call prices since a nonlinear basket option is generally not closedform. We use Split Step Backward Euler and Compensated Split Step Backward Euler methods with Monte Carlo simulation to check the validity of the presented method.
0

31
44


Yasser
Taherinasab
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
Iran
yassertaherinasab@gmail.com


Ali Reza
Soheili
Department of applied mathematics
Ferdowsi university of Mashhad
Mashhad and The Center of Excellence on Modeling and Control Systems, Ferdowsi University of Mashhad, Iran
Iran
soheili@um.ac.ir


Mohammad
Amini
Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
Iran
mamini@um.ac.ir
Basket option
nonlinear stochastic differential equations
Poisson process
Split Step Backward Euler method
1

Almost periodic positive solutions for a timedelayed SIR epidemic model with saturated treatment on time scales
https://jmm.guilan.ac.ir/article_4230.html
10.22124/jmm.2020.16271.1420
1
In this paper, we study a nonautonomous timedelayed SIR epidemic model which involves almost periodic incidence rate and saturated treatment function on time scales. By utilizing some dynamic inequalities on time scales, sufficient conditions are derived for the permanence of the SIR epidemic model and we also obtain the existence and uniform asymptotic stability of almost periodic positive solutions for the addressed SIR model by Lyapunov functional method. Finally numerical simulations are given to demonstrate our theoretical results.
0

45
60


Kapula Rajendra
Prasad
College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India530003
Iran
rajendra92@rediffmail.com


Mahammad
Khuddush
College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India530003
Iran
khuddush89@gmail.com


Kuparala Venkata
Vidyasagar
College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India530003 and Department of Mathematics, Government Degree College for Women, Marripalem, Koyyuru Mandal, Visakhapatnam, India531116
Iran
vidyavijaya08@gmail.com
SIR model
time scale
almost periodic incidence rate
almost periodic positive solution
permanence
uniform asymptotic stability
1

Solving the Basset equation via Chebyshev collocation and LDG methods
https://jmm.guilan.ac.ir/article_4231.html
10.22124/jmm.2020.17135.1489
1
Two different numerical methods are developed to find approximate solutions of a class of linear fractional differential equations (LFDEs) appearing in the study of the generalized Basset force, when a sphere sinks in a viscous fluid. In the first one, using the Chebyshev bases, the collocation points, and the matrix operations, the given LFDE reduces to a matrix equation while in the second one, we employ the local discontinuous Galerkin (LDG) method, which uses the natural upwind flux yielding a stable discretization. Unlike the first method, in the latter method we are able to solve the problem element by element locally and there is no need to solve a full global matrix. The efficiency of the proposed algorithms are shown via some numerical examples.
0

61
79


Mohammad
Izadi
Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Iran
izadi@uk.ac.ir


Mehdi
Afshar
Department of Mathematics and Statistics, Zanjan Branch , Islamic Azad University, Zanjan, Iran.
Iran
mafshar@iauz.ac.ir
Basset equation
Caputo fractional derivative
Chebyshev polynomials
collocation method
Local discontinuous Galerkin method
Numerical stability
1

An RBF approach for oil futures pricing under the jumpdiffusion model
https://jmm.guilan.ac.ir/article_4234.html
10.22124/jmm.2020.15948.1396
1
In this paper, our concern is to present and solve the problem of pricing oil futures. For this purpose, firstly we suggest a model based on the wellknown Schwartz's model, in which the oil futures price is based on spot price of oil and convenience yield, however, the main difference here is that we have assumed that the former was imposed to some jumps, thus we added a jump term to the model of spot price. In our case, the oil future price model would be a Partial Integral Differential Equation (PIDE). Since, no closed form solution can be suggested for these kind of equations, we desire to solve our model with an appropriate numerical method. Although Finite Differences (FD) or Finite Elements (FE) is a common method for doing so, in this paper, we propose an alternative method based on Radial Basis Functions (RBF).
0

81
92


Mohammad
Karimnejad Esfahani
Department of Mathematics, Allameh Tabataba'i University, Iran
Iran
mohammad7394@gmail.com


Abdolsadeh
Neisy
Department of Mathematics, Allameh Tabataba'i University, Iran
Iran
a_neisy@atu.ac.ir


Stefano
De Marchi
Department of Mathematics "Tullio LeviCivita", University of Padova, Italy
Iran
demarchi@math.unipd.it
Oil derivative market
Radial Basis Functions (RBF)
Oil futures
initial and boundary value problems
jumpdiffusion model
1

CaputoHadamard fractional differential equation with impulsive boundary conditions
https://jmm.guilan.ac.ir/article_4236.html
10.22124/jmm.2020.16449.1447
1
This manuscript is concerned about the study of the existence and uniqueness of solutions for fractional differential equation involving Caputo Hadamard fractional operator of order $1 < vartheta leq 2$ with impulsive boundary conditions. The existence results are established firstly through the Banach Contraction Principle and then using Schauder's fixed point theorem. We present some examples to demonstrate the application of our main results.
0

93
106


Ankit
Nain
Department of Mathematics and Scientific Computing,
National Institute of Technology, Hamirpur, HP177005, India
Iran
ankitnain744@gmail.com


Ramesh
Vats
Department of Mathematics and Scientific Computing,
National Institute of Technology, Hamirpur, HP177005, India
Iran
rameshnitham@gmail.com


Avadhesh
Kumar
Department of Mathematics and Computer Science,
Sri Sathya Sai Institute of Higher Learning, Prasanthi Nilayam(A.P.)  515134, India
Iran
soni.iitkgp@gmail.com
Boundary value problem
impulses
CaputoHadamard fractional derivative
Fixed point theorem
1

Stability for coupled systems on networks with CaputoHadamard fractional derivative
https://jmm.guilan.ac.ir/article_4239.html
10.22124/jmm.2020.17303.1500
1
This paper discusses stability and uniform asymptotic stability of the trivial solution of the following coupled systems of fractional differential equations on networksbegin{equation*} left{ begin{array}{l l l} ^{cH}D^{alpha} x_{i}=f_{i}(t,x_{i})+sumlimits_{j=1}^{n}g_{ij}(t,x_{i},x_{j}),&t> t_{0}, \ x_{i}(t_{0})=x_{i0}, end{array} right. end{equation*} where $^{cH}D^{alpha} $ denotes the CaputoHadamard fractional derivative of order $ alpha $, $ 1<alphaleq 2 $, $ i=1,2,dots,n$, and $ f_{i}:mathbb{R}_{+}timesmathbb{R}^{m_i} to mathbb{R}^{m_i} $, $ g_{ij} : mathbb{R}_{+}times mathbb{R}^{m_i}times mathbb{R}^{m_j} to mathbb{R}^{m_i} $ are given functions. Based on graph theory and the classical Lyapunov technique, we prove stability and uniform asymptotic stability under suitable sufficient conditions. We also provide an example to illustrate the obtained results.
0

107
118


Hadjer
Belbali
Laboratoire de Mathematiques et Sciences appliquees, University of Ghardaia, Algeriaa
Iran
belbalihadjer3@gmail.com


Maamar
Benbachir
Faculty of Sciences, Saad Dahlab University, Blida, Algeria
Iran
mbenbachir2001@gmail.com
Fractional differential equation
CaputoHadamard
Coupled systems on networks
Lyapunov function
1

On global existence and UlamHyers stability of $Psi$Hilfer fractional integrodifferential equations
https://jmm.guilan.ac.ir/article_4256.html
10.22124/jmm.2020.16092.1405
1
In this sense, for this new fractional integrodifferential equation, we study the UlamHyers and UlamHyersRassias stability via successive approximation method. Further, we investigate the dependence of solutions on the initial conditions and uniqueness via $epsilon$approximated solution.
0

119
135


Vinod
Vijaykumar Kharat
Department~of~Mathematics, N. B. Navale Sinhgad College of Engg., Kegaon, Solapur413255, India (M.S.)
Iran
vvkvinod9@gmail.com


Anand
Rajshekhar Reshimkar
Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur413002, India (M.S.)
Iran
anand.reshimkar@gmail.com
UlamHyers stability
$Psi$Hilfer fractional derivative
fractional integrodifferential equations
Banach fixedpoint theorem
1

Mathematical models for the variable weights version of the inverse minimax circle location problem
https://jmm.guilan.ac.ir/article_4257.html
10.22124/jmm.2020.16786.1455
1
This paper deals with the case of variable weights of the inverse model of the minimax circle location problem. The goal of the classic minimax circle location problem is finding a circle in the plane such that the maximum weighted distance from a given set of existing points to the circumference of the circle is minimized. In the corresponding inverse model, a circle is given and we should modify the weights of existing points with minimum cost, such that the given circle becomes optimal. The radius of the given circle can be fixed or variable. In this paper, both of these cases are investigated and mathematical models are presented for solving them.
0

137
144


Mehraneh
Gholami
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
Iran
mehraneh.gholami@gmail.com


Jafar
Fathali
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
Iran
fathali@shahroodut.ac.ir
Minimax circle location
inverse facility location
variable weights