2020
8
3
0
0
1

$2n$by$2n$ circulant preconditioner for a kind of spatial fractional diffusion equations
https://jmm.guilan.ac.ir/article_4013.html
10.22124/jmm.2020.15908.1391
1
In this paper, a $2n$by$2n$ circulant preconditioner is introduced for a system of linear equations arising from discretization of the spatial fractional diffusion equations (FDEs). We show that the eigenvalues of our preconditioned system are clustered around 1, even if the diffusion coefficients of FDEs are not constants. Numerical experiments are presented to demonstrate that the preconditioning technique is very efficient.
0

207
218


Naser
Akhoundi
School of mathematics and computer science, Damghan university, Damghan, Iran
Iran
akhoundi@du.ac.ir
Fractional diffusion equation
circulant matrix
skewcirculant matrix
Toeplitz matrix
Krylov subspace methods
1

Numerical study of optimal control domain decomposition for nonlinear boundary heat in the human eye
https://jmm.guilan.ac.ir/article_4014.html
10.22124/jmm.2020.15163.1363
1
The present work sheds new light on the computation of the heat distribution on the boundary of the human eye. Due to different values of the thermal conductivity on each region of the human eye, the domain decomposition technique is introduced and an optimization formulation is analysed and studied to derive a proposed algorithm. All obtained partial differential equations are approached by discontinuous dual reciprocity boundary element method. The validity of the proposed approaches is confirmed by comparing to results reported with previous experimental and numerical studies.
0

219
240


Salem
Ahmedou bamba
Universite' Cadi Ayyad, Faculte' des Sciences et Techniques, Marrakech, Maroc
Iran
salemmohamed39@gmail.com


Abdellatif
Ellabib
Universite' Cadi Ayyad, Faculte' des Sciences et Techniques, Marrakech, Maroc
Iran
a.ellabib@uca.ac.ma


Abdessamad
El madkouri
Universite' Cadi Ayyad, Faculte' des Sciences et Techniques, Marrakech, Maroc
Iran
abdessamad.elmadkouri@edu.uca.ma
Heat distribution
human eye
optimal control
DirichletNeumann
boundary element method
1

Vehicular traffic models for speeddensityflow relationship
https://jmm.guilan.ac.ir/article_4015.html
10.22124/jmm.2020.15409.1370
1
The relationship among vehicles on the road is modeled using fundamental traffic equations. In traffic modeling, a particular speeddensity equation usually fits a peculiar dataset. The study seeks to parameterize some existing fundamental models so that a given equation could match different dataset. The new equations are surmisal offshoots from existing equations. The parameterized equations are used in the LWR model and solved using the LaxFriedrichs differencing scheme. The simulation results illustrate different scenarios of acceleration and deceleration traffic wave profiles. The proposed models appropriately explain the varying transitions of different traffic regimes.
0

241
255


Gabriel
Fosu
Department of Mathematics, Presbyterian University College, Ghana
Iran
gabriel.obed@presbyuniversity.edu.gh


Emmanuel
Akweittey
Department of Mathematics, Presbyterian University College, Ghana
Iran
emmanuel.akweittey@presbyuniversity.edu.gh


Joseph M.
Opong
Department of Mathematics, Presbyterian University College, Ghana
Iran
joeopong@presbyuniversity.edu.gh


Micheal E.
Otoo
Department of Mathematics, Presbyterian University College, Ghana
Iran
moezra@presbyuniversity.edu.gh
LWR model
shockwaves
speeddensity equation
traffic flow
1

Ulam stabilities for nonlinear fractional integrodifferential equations with constant coefficient via Pachpatte's inequality
https://jmm.guilan.ac.ir/article_4026.html
10.22124/jmm.2020.15923.1392
1
In this article, we study some existence, uniqueness and Ulam type stability results for a class of boundary value problem for nonlinear fractional integrodifferential equations with positive constant coefficient involving the Caputo fractional derivative. The main tools used in our analysis is based on Banach contraction principle, Schaefer's fixed point theorem and Pachpatte's integral inequality. Finally, results are illustrated with suitable example.
0

257
278


Shivaji Ramchandra
Tate
Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India
Iran
tateshivaji@gmail.com


Hambirrao Tatyasaheb
Dinde
Department of Mathematics, Karmaveer Bhaurao Patil College, UrunIslampur, India
Iran
drhtdmaths@gmail.com
Boundary value conditions
Caputo's fractional derivative
Fixed point
integral inequality
Stability
1

A simulated annealing algorithm for the restricted stochastic traveling salesman problem with exponentially distributed arc lengths
https://jmm.guilan.ac.ir/article_4027.html
10.22124/jmm.2020.15535.1378
1
The considered stochastic travelling salesman problem is defined where the costs are distributed exponentially. The costs are symmetric and they satisfy the triangular inequality. A discrete time Markov chain is established in some periods of time. A stochastic tour is created in a dynamic recursive way and the best node is detected to traverse in each period. Then, a simulated annealing based heuristic method is applied to select the best state. All the nodes should be traversed exactly once. An initial $rho$approximate solution is applied for some benchmark problems and the obtained solutions are improved by a simulated annealing heuristic method.
0

279
290


Mohsen
Abdolhosseinzadeh
Department of Mathematics, University of Bonab, Bonab, Iran
Iran
mohsen.ab@ubonab.ac.ir


Mir Mohammad
Alipour
Department of Computer Engineering, University of Bonab, Bonab, Iran
Iran
alipour@ubonab.ac.ir
Travelling salesman problem
discrete time Markov chain
approximation algorithms
Simulated Annealing
1

The method of lines for parabolic integrodifferential equations
https://jmm.guilan.ac.ir/article_4037.html
10.22124/jmm.2020.15954.1397
1
This paper introduces an efficient numerical scheme for solving a significant class of nonlinear parabolic integrodifferential equations (PIDEs). The major contributions made in this paper are applying a direct approach based on a combination of group preserving scheme (GPS) and spectral meshless radial point interpolation (SMRPI) method to transcribe the partial differential problem under study into a system of ordinary differential equations (ODEs). The resulting problem is then solved by employing the numerical method of lines, which is also a welldeveloped numerical method. Two numerical experiments are carried out to evaluate the performance and effectiveness of the suggested framework.
0

291
308


Samaneh
Soradi Zeid
Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran
Iran
soradizeid@eng.usb.ac.ir


Mehdi
Mesrizadeh
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
Iran
m.mesrizadeh@yahoo.com
Parabolic integrodifferential equation
partial differential equation
meshless method
radial point interpolation technique
group preserving scheme
1

A survey on compressive sensing: classical results and recent advancements
https://jmm.guilan.ac.ir/article_4155.html
10.22124/jmm.2020.16701.1450
1
Recovering sparse signals from linear measurements has demonstrated outstanding utility in a vast variety of realworld applications. Compressive sensing is the topic that studies the associated raised questions for the possibility of a successful recovery. This topic is wellnourished and numerous results are available in the literature. However, their dispersity makes it timeconsuming for practitioners to quickly grasp its main ideas and classical algorithms, and further touch upon the recent advancements. In this survey, we overview vital classical tools and algorithms in compressive sensing and describe its significant recent advancements. We conclude by a numerical comparison of the performance of described approaches.
0

309
344


Ahmad
Mousavi
Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, USA
Iran
amousavi@umn.edu


Mehdi
Rezaee
Department of Computer Science and Electrical Engineering, University of Maryland Baltimore County, Baltimore, MD 21250, USA
Iran
rezaee1@umbc.edu


Ramin
Ayanzadeh
Department of Computer Science and Electrical Engineering, University of Maryland Baltimore County, Baltimore, MD 21250, USA
Iran
ayanzadeh@umbc.edu
compressive sensing
$ell_p$ recovery
greedy algorithms