2016
4
1
0
115
Approximation of stochastic advection diffusion equations with finite difference scheme
2
2
In this paper, a highorder and conditionally stable stochastic difference scheme is proposed for the numerical solution of $rm Ithat{o}$ stochastic advection diffusion equation with one dimensional white noise process. We applied a finite difference approximation of fourthorder for discretizing space spatial derivative of this equation. The main properties of deterministic difference schemes, i.e. consistency, stability and convergence, are developed for the stochastic case. It is shown through analysis that the proposed scheme has these properties. Numerical results are given to demonstrate the computational efficiency of the stochastic scheme.
1

1
18


Mehran
Namjoo
School of Mathematical Sciences, ValieAsr University of Rafsanjan, Rafsanjan, Iran
School of Mathematical Sciences, ValieAsr
Iran
namjoo@vru.ac.ir


Ali
Mohebbian
School of Mathematical Sciences, ValieAsr University of Rafsanjan, Rafsanjan, Iran
School of Mathematical Sciences, ValieAsr
Iran
a.mohebbiyan@stu.vru.ac.ir
stochastic partial differential equations
Consistency
Stability
Convergence
The exponential functions of centralsymmetric $X$form matrices
2
2
It is well known that the matrix exponential function has practical applications in engineering and applied sciences. In this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as centralsymmetric $X$form. For instance, $e^{mathbf{A}t}$, $t^{mathbf{A}}$ and $a^{mathbf{A}t}$ will be evaluated by the new formulas in this particular structure. Moreover, upper bounds for the explicit relations will be given via subordinate matrix norms. Eventually, some numerical illustrations and applications are also adapted.
1

19
34


Amir
Sadeghi
Department of Mathematics, Islamic Azad University, Robat Karim Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University
Iran
drsadeghi.iau@gmail.com


Maryam
Shams Solary
Department of Mathematics, Payame Noor University, P.O. Box 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
shamssolary@gmail.com
centralsymmetric matrix
matrix function
matrix exponential
Gamma and Beta matrix functions
A path following interiorpoint algorithm for semidefinite optimization problem based on new kernel function
2
2
In this paper, we deal to obtain some new complexity results for solving semidefinite optimization (SDO) problem by interiorpoint methods (IPMs). We define a new proximity function for the SDO by a new kernel function. Furthermore we formulate an algorithm for a primal dual interiorpoint method (IPM) for the SDO by using the proximity function and give its complexity analysis, and then we show that the worstcase iteration bound for our IPM is $O(6(m+1)^{frac{3m+4}{2(m+1)}}Psi _{0}^{frac{m+2}{2(m+1)}}frac{1}{theta }log frac{nmu ^{0}}{varepsilon })$, where $m>4$.
1

35
58


El Amir
Djeffal
Department of Mathematics, University of Batna 2, Batna, Algeria
Department of Mathematics, University of
Iran
djeffal_elamir@yahoo.fr


Lakhdar
Djeffal
Department of Mathematics, University of Batna 2, Batna, Algeria
Department of Mathematics, University of
Iran
lakdar_djeffal@yahoo.fr
quadratic programming
convex nonlinear programming
interior point methods
Modeling and analysis of a threecomponent piezoelectric force sensor
2
2
This paper presents a mathematical model for the vibration analysis of a threecomponent piezoelectric force sensor. The cubic theory of weakly nonlinear electroelasticity is applied to the model for describing the electromechanical coupling effect in the piezoelectric sensing elements which operate in thicknessshear and thicknessstretch vibration modes. Hamilton's principle is used to derive motion and charge equations for the vibration analysis. The model can predict the performance of the force sensor for use in proposed cutting force measurement.
1

59
78


Fu
Shao
Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada
Department of Mechanical and Industrial Engineerin
Iran
fu.shao@mail.utoronto.ca
piezoelectric
force sensor
nonlinear vibration analysis
weakly nonlinear electroelasticity
Numerical method for singularly perturbed fourth order ordinary differential equations of convectiondiffusion type
2
2
In this paper, we have proposed a numerical method for singularly perturbed fourth order ordinary differential equations of convectiondiffusion type. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference method. In order to get a numerical solution for the derivative of the solution, the given interval is divided into two subintervals called inner region (boundary layer region) and outer region. The shooting method is applied to inner region whereas for the outer region, standard finite difference method is applied. Necessary error estimates are derived. Computational efficiency and accuracy are verified through numerical examples.
1

79
102


Joseph
Stalin Christy Roja
St. Joseph's college, Tamilnadu, India
St. Joseph's college, Tamilnadu, India
Iran
jchristyrojaa@gmail.com


Ayyadurai
Tamilselvan
Bharathidasan University, Tamilnadu, India
Bharathidasan University, Tamilnadu, India
Iran
mathats@bdu.ac.in
singularly perturbed problems
fourth order ordinary differential equations
boundary value technique
asymptotic expansion approximation
shooting method
finite difference scheme
parallel computation
Dynamics of an ecoepidemic model with stage structure for predator
2
2
The predatorprey model with stage structure for predator is generalized in the context of ecoepidemiology, where the prey population is infected by a microparasite and the predator completely avoids consuming the infected prey. The intraspecific competition of infected prey is considered. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibrium is shown. Numerical simulations are carried out to illustrate the obtained results.
1

103
115


Debasis
Mukherjee
Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata700063, India
Department of Mathematics, Vivekananda College,
Iran
mukherjee1961@gmail.com
preypredator model
stage structure
Stability
Hopf bifurcation