ORIGINAL_ARTICLE Approximation of stochastic advection diffusion equations with finite difference scheme In this paper, a high-order and conditionally stable stochastic difference scheme is proposed for the numerical solution of $\rm It\hat{o}$ stochastic advection diffusion equation with one dimensional white noise process. We applied a finite difference approximation of fourth-order 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. https://jmm.guilan.ac.ir/article_1571_98967e2a794e3be26008058a975a68bd.pdf 2016-08-01 1 18 stochastic partial differential equations Consistency Stability Convergence Mehran Namjoo namjoo@vru.ac.ir 1 School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran LEAD_AUTHOR Ali Mohebbian a.mohebbiyan@stu.vru.ac.ir 2 School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran AUTHOR
ORIGINAL_ARTICLE The exponential functions of central-symmetric $X$-form matrices 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 central-symmetric $X$-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. https://jmm.guilan.ac.ir/article_1804_9d050861700cfaedf44b846aa4fcaecb.pdf 2016-08-01 19 34 central-symmetric matrix matrix function matrix exponential Gamma and Beta matrix functions Amir Sadeghi drsadeghi.iau@gmail.com 1 Department of Mathematics, Islamic Azad University, Robat Karim Branch, Tehran, Iran LEAD_AUTHOR Maryam Shams Solary shamssolary@gmail.com 2 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran AUTHOR
ORIGINAL_ARTICLE A path following interior-point algorithm for semidefinite optimization problem based on new kernel function In this paper, we deal to obtain some new complexity results for solving semidefinite optimization (SDO) problem by interior-point 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 interior-point method (IPM) for the SDO by using the proximity function and give its complexity analysis, and then we show that the worst-case iteration bound for our IPM is $O(6(m+1)^{\frac{3m+4}{2(m+1)}}\Psi _{0}^{\frac{m+2}{2(m+1)}}\frac{1}{\theta }\log \frac{n\mu ^{0}}{\varepsilon })$, where $m>4$. https://jmm.guilan.ac.ir/article_1805_783e5a298d09d5f817ee51668fdce93b.pdf 2016-08-01 35 58 quadratic programming convex nonlinear programming interior point methods El Amir Djeffal l.djeffal@univ-batna2.dz 1 Department of Mathematics, University of Batna 2, Batna, Algeria LEAD_AUTHOR Lakhdar Djeffal lakdar_djeffal@yahoo.fr 2 Department of Mathematics, University of Batna 2, Batna, Algeria AUTHOR
ORIGINAL_ARTICLE Modeling and analysis of a three-component piezoelectric force sensor This paper presents a mathematical model for the vibration analysis of a three-component 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 thickness-shear and thickness-stretch 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. https://jmm.guilan.ac.ir/article_1806_d5d1883675b01e114f61b18a8ebbdff7.pdf 2016-08-01 59 78 piezoelectric force sensor nonlinear vibration analysis weakly nonlinear electroelasticity Fu Shao fu.shao@mail.utoronto.ca 1 Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada LEAD_AUTHOR
ORIGINAL_ARTICLE Numerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type In this paper, we have proposed a numerical method for singularly perturbed  fourth order ordinary differential equations of convection-diffusion 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. https://jmm.guilan.ac.ir/article_1807_e5e9cdf91b6a70678c36985fb65a8905.pdf 2016-08-01 79 102 singularly perturbed problems fourth order ordinary differential equations boundary value technique asymptotic expansion approximation shooting method finite difference scheme parallel computation Joseph Stalin Christy Roja jchristyrojaa@gmail.com 1 St. Joseph&#039;s college, Tamilnadu, India AUTHOR Ayyadurai Tamilselvan mathats@bdu.ac.in 2 Bharathidasan University, Tamilnadu, India LEAD_AUTHOR
ORIGINAL_ARTICLE Dynamics of an eco-epidemic model with stage structure for predator The predator-prey 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. https://jmm.guilan.ac.ir/article_1808_d9fed3af311cbb7b761b36f93ad13bc4.pdf 2016-08-01 103 115 prey-predator model stage structure Stability Hopf bifurcation Debasis Mukherjee mukherjee1961@gmail.com 1 Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata-700063, India LEAD_AUTHOR