2019
7
3
0
117
1

Horseshoe dynamics in Duffing oscillator with fractional damping and multifrequency excitation
https://jmm.guilan.ac.ir/article_3466.html
10.22124/jmm.2019.12719.1242
1
The occurrence of horseshoe chaos in Duffing oscillator with fractional damping and multifrequency excitation is analyzed by using analytical and numerical techniques. Applying Melnikov method, analytical threshold condition for the onset of horseshoe chaos is obtained. The effect of damping exponent and the number of periodic forces on the dynamics of the Duffing oscillator is also analyzed. Due to fractional damping and multifrequency excitation, suppression of chaos and various nonlinear phenomena are predicted. Analytical predictions are demonstrated through numerical simulations.
0

263
276


S.
Valli Priyatharsini
Department of Physics, Sadakathullah Appa College, Tirunelveli627 011, Tamil Nadu, India (Affliated to Manonmaniam Sundaranar University, Tirunelveli627012, Tamil Nadu, India)
Iran
valli_priya@yahoo.in


M.V
Sethu Meenakshi
Department of Mathematics, St. Xavier's College, Tirunelveli 627 002, Tamil Nadu, India
Iran
sethu_meenakshi92@gmail.com


V.
Chinnathambi
Department of Physics, Sadakathullah Appa College, Tirunelveli627 011, Tamil Nadu, India (Affliated to Manonmaniam Sundaranar University, Tirunelveli627012, Tamil Nadu, India)
Iran
drchinnathambi@sadakath.ac.in


S.
Rajasekar
School of Physics, Bharathidasan University, Tiruchirapalli620 024, Tamil Nadu, India
Iran
rajasekar@physics.bdu.ac.in
Duffing oscillator
Fractional damping
Horseshoe chaos
Melnikov meth od
Multifrequency excitation
1

Weak Galerkin finite element method for an inhomogeneous Brusselator model with crossdiffusion
https://jmm.guilan.ac.ir/article_3496.html
10.22124/jmm.2019.13501.1277
1
A new weak Galerkin finite element method is applied for time dependent Brusselator reactiondiffusion systems by using discrete weak gradient operators over discontinuous weak functions. In this work, we consider the lowest order weak Galerkin finite element space $(P_{0},P_{0},RT_{0})$. Discrete weak gradients are defined in RaviartThomas space. Thus we employ this approximate space on triangular mesh for solving unknown concentrations $ (u,v)$ in Brusselator reactiondiffusion systems. Based on a weak varitional form, semidiscrete and fullydiscrete weak Galerkin finite element scheme are obtained. In addition, the paper presents some numerical results to illustrate the power of proposed method.
0

277
285


Leila
Jafarian KhaledAbad
Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran
Iran
leila.jafarian@modares.ac.ir


Rezvan
Salehi
Department of Applied Mathematics
Faculty of Mathematical Sciences
Tarbiat Modares University,Tehran,Iran
Iran
r.salehi@modares.ac.ir
Weak Galerkin finite element method
Reactiondiffusion system
Weak gradient
1

An inverse finance problem for estimating volatility in American option pricing under jumpdiffusion dynamics
https://jmm.guilan.ac.ir/article_3539.html
10.22124/jmm.2019.13082.1258
1
This study attempts to estimate the volatility of the American options pricing model under jumpdiffusion underlying asset model. Therefore, the problem is formulated then inverted, and afterward, direct finance problems are defined. It is demonstrated, then, that the price of this type of options satisfies a free boundary Partial Integral Differential Equation (PIDE). The inverse method for estimating the volatility and the American options price is also described in three phases: first, transformation of the direct problem to a nonlinear initial and boundary value problem. Second, finding the solution by using the method of lines and the fourthorder RungeKutta method.Third, presenting a minimization function with Tikhonov regularization.
0

287
304


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


Mandana
Bidarvand
Faculty of Mathematics Sciences, Allameh Tabataba'i University, Tehran, Iran
Iran
mandanabidarvand@gmail.com
EmdenFowler equations
integral equation
Volterra
moving least squares method
1

Existence of mild solutions of second order evolution integrodifferential equations in the Fre'chet spaces
https://jmm.guilan.ac.ir/article_3556.html
10.22124/jmm.2019.13018.1256
1
In this article, we shall establish sufficient conditions for the existence of mild solutions for second order semilinear integrodifferential evolution equations in Fre'chet spaces $C(mathbb{R}_+ , E)$, where $E$ is an Banach space. Our approach is based on the concept of a measure of noncompactness and Tykhonoff fixed point theorem. For illustration we give an example.
0

305
318


Adel
Jawahdou
Department of Mathematics, Bizerte Preparatory Engineering Institute, Tunisia
Iran
adeljaw2002@yahoo.com
Semilinear integrodifferential equation
measure of noncompactness
mild solutions
evolution system
Tykhonoff fixed point theorem
1

Numerical solution of sigularly perturbed parabolic problems by a local kernelbased method with an adaptive algorithm
https://jmm.guilan.ac.ir/article_3572.html
10.22124/jmm.2019.14093.1305
1
Global approaches make troubles and deficiencies for solving singularly perturbed problems. In this work, a local kernelbased method is applied for solving singularly perturbed parabolic problems. The kernels are constructed by the Newton basis functions (NBFs) on stencils selected as thin regions of the domain of problem that leads to increasing accuracy with less computational costs. In addition, position of nodes may affect significantly on accuracy of the method, therefore, the adaptive residual subsampling algorithm is used to locate optimal position of nodes. Finally, some problems are solved by the proposed method and the accuracy and efficiency of the method is compared with results of some other methods.
0

319
336


Hossein
Rafieayanzadeh
Faculty of Mathematical Sciences and Computer, Kharazmi University,
Tehran, Iran
Iran
std_rafieayan@khu.ac.ir


Maryam
Mohammadi
Faculty of Mathematical Sciences and Computer, Kharazmi University,
Tehran, Iran
Iran
m.mohammadi@khu.ac.ir


Esmail
Babolian
Faculty of Mathematical Sciences and Computer, Kharazmi University,
Tehran, Iran
Iran
babolian@khu.ac.ir
Local kernelbased method
Newton basis functions
adaptive residual subsampling algorithm
singularly perturbed parabolic problems
convectiondiffusion problems
1

Generalized subspace iteration method for solving matrix pair eigenproblem
https://jmm.guilan.ac.ir/article_3574.html
10.22124/jmm.2019.13944.1297
1
The main purpose of this work is to give a generalization of the Subspace Iteration Method to compute the largest eigenvalues and their corresponding eigenvectors of the matrix pencil $Alambda B$. An effective single shift procedure is given. Several numerical experiments are presented to illustrate the effectiveness of the proposed methods.
0

337
355


Abdeslem
Hafid Bentbib
University of Cadi Ayyad, Marrakesh, Morocco
Iran
a.bentbib@uca.ac.ma


Ahmed
Kanber
CRMEF, Marrakesh, Morocco
Iran
kanber@uca.ac.ma


Kamal
Lachhab
University of Cadi Ayyad, Marrakesh, Morocco
Iran
kamal.lachhab@ced.uca.ac.ma
Matrix pencil
Generalized eigenvalues
Generalized QRFrancis
Generalized Subspace Iteration Method
1

On the SinG class of distributions: theory, model and application
https://jmm.guilan.ac.ir/article_3575.html
10.22124/jmm.2019.13502.1278
1
This paper is devoted to the study of the SinG class of distributions and one of its special member. We first explore the mathematical properties of the SinG class, giving the cumulative and probability density functions and their expansions, quantile function, moments, moment generating function, reliability parameter, R'enyi entropy and order statistics. Then, we focus our attention on the special member defined with the Inverse Weibull distribution as baseline, denoted by SinIW. The mathematical and practical aspects of the SinIW distribution are investigated. In order to illustrate the usefulness of the SinIW model, an application to real life data set is carried out.
0

357
379


Luciano
Souza
PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil
Iran
luciano.souza2@ufrpe.br


Wilson
Junior
PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil
Iran
wilson.rosa@gmail.com


Cicero
de Brito
Instituto Federal da Pernambuco, Pernambuco/PE, Brazil
Iran
cicerocarlosbrito@yahoo.com.br


Christophe
Chesneau
Universit'e de Caen, LMNO, Campus II, Science 3, 14032, Caen, France
Iran
christophe.chesneau@gmail.com


Tiago
Ferreira
PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil
Iran
taef.first@gmail.com


Lucas
Soares
PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil
Iran
lucas.soares@ufpe.br
classes of trigonometric sine distributions
inverse Weibull distribution
maximum likelihood estimation
data analysis