Fa
  • Ph.D. (1991)

    Math

    , Wales, England

  • M.Sc. (1986)

    Math

    , Montreal, Canada

  • B.Sc. (1982)

    Math

    , Razi University of Kermanshah,

  • Optimal control
  • Numerical analysis, optimization
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Curriculum Vitae (CV)

Cost efficiency analysis in data envelopment analysis framework: An application to sugar industries

RG Sarab, A Amirteimoori, A Malek, S Kordrostami
Journal Paper , , {Pages }

Abstract

Pointwise optimal control for cancer treatment by hyperthermia with thermal wave bioheat transfer

Ghasem Abbasi, Alaeddin Malek
Journal PaperAutomatica , Volume 111 , 2020 January 1, {Pages 108579 }

Abstract

In this paper, a novel scheme based on strongly continuous semigroup is proposed to find a pointwise optimal control function in a biological tissue. Here, mathematical model for hyperthermia therapy involves solution to the thermal wave equation as state while the control is given by the pointwise time dependent heat source. The target is the temperature at a given point within the tumor. Pointwise optimal control problem on and inside a tissue is solved subject to thermal wave model with Dirichlet and Rubin boundary conditions. The pointwise heating source induced by heating probe inserted at the tumor site as control at specific depth inside the biological body. Solutions for both thermal wave problem and its associated adjoint problem a

A new approach to solving multiorder time‐fractional advection–diffusion–reaction equations using BEM and Chebyshev matrix

Moein Khalighi, Mohammad Amirianmatlob, Alaeddin Malek
Journal PaperMathematical Methods in the Applied Sciences , 2020 March 28, {Pages }

Abstract

In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two‐dimensional multiorder time‐fractional partial differential equations: nonlinear and linear in respect to spatial and temporal variables, respectively. Fractional derivatives are estimated by Caputo sense. Boundary element method is used to convert the main problem into a system of a multiorder fractional ordinary differential equation. Then, the produced system is approximated by Chebyshev operational matrix technique, and its condition number is analyzed. Accuracy and efficiency of the proposed hybrid scheme are demonstrated by solving three different types of two‐dimensional time‐fractional convection–diffusion equati

Optimal control and differential game solutions for social distancing in response to epidemics of infectious diseases on networks

Mohammadali Dashtbali, Alaeddin Malek, Mehdi Mirzaie
Journal PaperOptimal Control Applications and Methods , 2020 August 2, {Pages }

Abstract

In this paper, the problem of social distancing in the spread of infectious diseases in the human network is extended by optimal control and differential game approaches. Hear, SEAIR model on simulation network is used. Total costs for both approaches are formulated as objective functions. SEAIR dynamics for group k that contacts with k individuals including susceptible, exposed, asymptomatically infected, symptomatically infected and improved or safe individuals is modeled. A novel random model including the concept of social distancing and relative risk of infection using Markov process is proposed. For each group, an aggregate investment is derived and computed using adjoint equations and maximum principle. Results show that for each gr

Effect of sound classification by neural networks in the recognition of human hearing

A Malek
Journal PaperJournal of Acoustical Engineering Society of Iran , Volume 8 , Issue 1, 2020 September 10, {Pages 22-27 }

Abstract

In this paper, we focus on two basic issues:(a) the classification of sound by neural networks based on frequency and sound intensity parameters (b) evaluating the health of different human ears as compared to of those a healthy person. Sound classification by a specific feed forward neural network with two inputs as frequency and sound intensity and two hidden layers is proposed. This process results in categorization of audible and non-audible (dangerous) sounds for a healthy person. In the diagnosis of healthy ear, having the relevant parameters, using the method of machine learning by feed forward neural networks, and simpson and trapezoidal numerical integration rules, the hearing and pain thresholds of the patientchr ('39') s ear are

Hyperthermia cancer therapy by domain decomposition methods using strongly continuous semigroups

Ghasem Abbasi, Alaeddin Malek
Journal PaperMathematics and Computers in Simulation , 2019 February 23, {Pages }

Abstract

In order to simulate the hyperthermia cancer therapy in multilayer skin, a solution for Pennes’ bioheat transfer equation based on the strongly continuous semigroups, domain decomposition technique, Laplace transform and numerical inversion of Laplace transform is proposed. In the existence of a tumor, solution at the presence of internal heat source and surface cooling temperature is considered. This solution considers both Dirichlet (body core condition) and Neumann (surface cooling condition) type boundary conditions. The interface conditions for a multilayer problem are derived from the corresponded eigenvalue–eigenfunction formulation of infinitesimal generators. It is proved that an infinitesimal generator is Riesz spectral operat

Development of home network sustainable interface tools

Erman Hamid, Nazrulazhar Bahaman, Azizah Jaafar, Mei Choo Ang, Akhdiat Abdul Malek
Journal PaperInternational Journal of Advanced Computer Science and Applications , Volume 10 , Issue 2, 2019 January 1, {Pages 72-76 }

Abstract

The home network has become a norm in today's life. Previous studies have shown that home network management is a problem for users who are not in the field of network technology. The existing network management tools are far too difficult to understand by ordinary home network users. Its interface is complex, and does not address the home user's needs in their daily use. This paper presents an interactive network management tool, which emphasizes support features for home network users. The tool combine interactive visual appearance with persuasive approach that support sustainability. It is not only understandable to all categories of home network users, but also acts as a feature for the user to achieve usability.

Solving a class of Hamilton-Jacobi-Bellman equations using pseudospectral methods

Mohsen Mehrali-Varjani, Mostafa Shamsi, Alaeddin Malek
Journal PaperKybernetika , Volume 54 , Issue 4, 2018 January , {Pages 629-647 }

Abstract

This paper presents a numerical approach to solve the Hamilton-Jacobi-Bellman (HJB) problem which appears in feedback solution of the optimal control problems. In this method, first, by using Chebyshev pseudospectral spatial discretization, the HJB problem is converted to a system of ordinary differential equations with terminal conditions. Second, the time-marching Runge-Kutta method is used to solve the corresponding system of differential equations. Then, an approximate solution for the HJB problem is computed. In addition, to get more efficient and accurate method, the domain decomposition strategy is proposed with the pseudospectral spatial discretization. Five numerical examples are presented to demonstrate the efficiency and accuracy

Solving multiextremal problems by using recurrent neural networks

Alaeddin Malek, Najmeh Hosseinipour-Mahani
Journal PaperIEEE transactions on neural networks and learning systems , Volume 29 , Issue 5, 2018 May , {Pages 1562-1574 }

Abstract

In this paper, a neural network model for solving a class of multiextremal smooth nonconvex constrained optimization problems is proposed. Neural network is designed in such a way that its equilibrium points coincide with the local and global optimal solutions of the corresponding optimization problem. Based on the suitable underestimators for the Lagrangian of the problem, one give geometric criteria for an equilibrium point to be a global minimizer of multiextremal constrained optimization problem with or without bounds on the variables. Both necessary and sufficient global optimality conditions for a class of multiextremal constrained optimization problems are presented to determine a global optimal solution. By study of the resulting dy

Solving macroscopic and microscopic pin-fin heat sink problems by adapted spectral method

Alaeddin Malek, Seyyed Mohammad Ali Shabani
Journal PaperComputational and Applied Mathematics , Volume 37 , Issue 2, 2018 May 1, {Pages 1112-1129 }

Abstract

In this paper, simulation of heat transfer in a heat sink with macroscopic and microscopic scales when one pin-fin is added to the system is investigated by the proposed spectral method. In the microscopic problems, heat transfer model uses dual-phase lag formulas in contrast with macroscopic problems when Fourier law is used to formulate the governing equation. In macroscopic problem, the results are compared with COMSOL multiphysics software results and a good agreement between the results are shown. In microscopic problems, 3D Gaussian heat source is used and boundary conditions obey the Newton law. Comparisons show the efficiency of the current method, while the results are compared with existed literature. It is shown that

Compact ADI method for solving two-dimensional Riesz space fractional diffusion equation

Sohrab Valizadeh, Abdollah Borhanifar, Alaeddin Malek
Journal PaperarXiv preprint arXiv:1802.02015 , 2018 February 6, {Pages }

Abstract

In this paper, a compact alternating direction implicit (ADI) method has been developed for solving two-dimensional Riesz space fractional diffusion equation. The precision of the discretization method used in spatial directions is twice the order of the corresponding fractional derivatives. It is proved that the proposed method is unconditionally stable via the matrix analysis method and the maximum error in achieving convergence is discussed. Several numerical examples are considered aiming to demonstrate the validity and applicability of the proposed technique.

Numerical solution for multi-order time fractional partial differential equations using boundary element method and Chebyshev operational matrix

Moein Khalighi, Alaeddin Malek
Journal PaperarXiv preprint arXiv:1803.00269 , 2018 March 1, {Pages }

Abstract

In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two-dimensional multi-order linear/nonlinear time fractional partial differential equations. Fractional derivatives are estimated by Caputo sense. Boundary element method is used to convert the main problem into a system of multi-order fractional ordinary differential equation. Then, the produced system is approximated by Chebyshev operational matrix technique. Accuracy and efficiency of the proposed hybrid scheme are demonstrated by solving three different types of two-dimensional time fractional convection-diffusion equations numerically. The convergent rates are calculated for different meshing within the boundary element technique

Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation

Mojtaba Hajipour, Amin Jajarmi, Alaeddin Malek, Dumitru Baleanu
Journal PaperApplied Mathematics and Computation , Volume 325 , 2018 May 15, {Pages 146-158 }

Abstract

This paper presents a class of semi-implicit finite difference weighted essentially non-oscillatory (WENO) schemes for solving the nonlinear heat equation. For the discretization of second-order spatial derivatives, a sixth-order modified WENO scheme is directly implemented. This scheme preserves the positivity principle and rejects spurious oscillations close to non-smooth points. In order to admit large time steps, a class of implicit Runge–Kutta methods is used for the temporal discretization. The implicit parts of these methods are linearized in time by using the local Taylor expansion of the flux. The stability analysis of the semi-implicit WENO scheme with 3-stages form is provided. Finally, some comparative results for one-, two-an

Implementation of Intelligent Automated Gate System with QR Code-An IOT System to Help Gate Management

Erman Hamid, Lim Chong Gee, Nazrulazhar Bahaman, Syarulnaziah Anawar, Zakiah Ayob, Akhdiat Abdul Malek
Journal PaperINTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS , Volume 9 , Issue 10, 2018 October 1, {Pages 359-363 }

Abstract

This paper is about QR code-based automated gate system. The aim of the research is to develop and implement a type of medium-level security gate system especially for small companies that cannot afford to install high-tech auto gate system. IAGS is a system that uses valid staffs' QR code pass card to activate the gate without triggering the alarm. It is developed to connect to the internet and provide a real-time email notification if any unauthorized activities detected. Besides that, it is also designed to record all the incoming and outgoing activities for all staff. All QR code pass cards that are generated to staff will be encrypted to provide integrity to the data. The system is based on items such as PIR motion sensor, servo motor

Implementation of Intelligent Automated Gate System with QR Code

Syarulnaziah Anawar Bahaman, Zakiah Ayob, Akhdiat Abdul Malek
Journal Papersystem , Volume 9 , Issue 10, 2018 January , {Pages }

Abstract

This paper is about QR code-based automated gate system. The aim of the research is to develop and implement a type of medium-level security gate system especially for small companies that cannot afford to install high-tech auto gate system. IAGS is a system that uses valid staffs’ QR code pass card to activate the gate without triggering the alarm. It is developed to connect to the internet and provide a real-time email notification if any unauthorized activities detected. Besides that, it is also designed to record all the incoming and outgoing activities for all staff. All QR code pass cards that are generated to staff will be encrypted to provide integrity to the data. The system is based on items such as PIR motion sensor, servo moto

A NEW APPROACH TO SOLVE MULTI-ORDER FRACTIONAL EQUATIONS USING BEM AND CHEBYSHEV MATRIX

MOEIN KHALIGHI, MOHAMMAD AMIRIAN MATLOB, ALAEDDIN MALEK
Journal PaperarXiv preprint arXiv:1803.00269 , 2018 March , {Pages }

Abstract

In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two-dimensional multi-order linear/nonlinear time-fractional partial differential equations. Fractional derivatives are estimated by Caputo sense. Boundary element method is used to convert the main problem into a system of a multi-order fractional ordinary differential equation. Then, the produced system is approximated by Chebyshev operational matrix technique. Accuracy and efficiency of the proposed hybrid scheme are demonstrated by solving three different types of two-dimensional time fractional convection-diffusion equations numerically. The convergent rates are calculated for different meshing within the boundary element techniq

Positivity-Preserving Sixth-Order Implicit Finite Difference Weighted Essentially Non-Oscillatory Scheme for the Nonlinear Heat Equation

Dumitru Baleanu, Mojtaba Hajipour, Amin Jajarmi, Alaeddin Malek
Journal Paper , 2018 May 18, {Pages }

Abstract

This paper presents a class of semi-implicit finite difference weighted essentially non-oscillatory (WENO) schemes for solving the nonlinear heat equation. For the discretization of second-order spatial derivatives, a sixth-order modified WENO scheme is directly implemented. This scheme preserves the positivity principle and rejects spurious oscillations close to non-smooth points. In order to admit large time steps, a class of implicit Runge-Kutta methods is used for the temporal discretization. The implicit parts of these methods are linearized in time by using the local Taylor expansion of the flux. The stability analysis of the semi-implicit WENO scheme with 3-stages form is provided. Finally, some comparative results for one-, two-and

Compact ADI method for two-dimensional Riesz space fractional diffusion equation

Sohrab Valizadeh, Alaeddin Malek, Abdollah Borhanifar
Journal PaperarXiv preprint arXiv:1802.02015 , 2018 February , {Pages }

Abstract

In this paper, a compact alternating direction implicit (ADI) method has been developed for solving two-dimensional Riesz space fractional diffusion equation. The precision of the discretization method used in spatial directions is twice the order of the corresponding fractional derivatives. It is proved that the proposed method is unconditionally stable via the matrix analysis method and the maximum error in achieving convergence is discussed. Numerical example is considered aiming to demonstrate the validity and applicability of the proposed technique.

Spectral Fourier–Galerkin benchmark solution for natural convection in an inclined saturated porous medium

Fahs Amin, Alaeddin Malek
Journal PaperNumerical Heat Transfer, Part B: Fundamentals , Volume 71 , Issue 4, 2017 April 3, {Pages 372-395 }

Abstract

This paper presents some novel problems associated with the steady natural convection flow in an inclined square cavity filled with a saturated porous medium. The proposed method is a high-accurate spectral method based on the Fourier–Galerkin technique. The numerical results have demonstrated the advantage for the following reasons. (a) The high-accurate method deals with inclined geometries successfully. (b) The streamlines, isotherms, and the average Nusselt numbers are affected significantly by the inclination of the cavity for high values of Rayleigh number. (c) In contrast with the finite element method a highly accurate and efficient solution with less computational effort is obtained.

[H] _ (∞) Technique for Five Story Buildings Under Seismic Loads and Uncertainty Process Using Synchronized Control

Alaeddin Malek, Javad Mesbahi
Journal PaperJournal of Advanced Mathematical Modeling , Volume 6 , Issue 2, 2017 February 19, {Pages 31-53 }

Abstract

In this paper, synchronized control is used for five story structure of Kajima Shizuoka under the EL - Centro earthquake load ?( 1940) seismic record. According to coupled values of displacement, drift and position error the related partial differential equation for motion and state is solved successfully. The Riccati equation is solved based on the close loop transfer function with respect to uncertainty parameters and random dynamic processes. Numerical simulations along with comparisons are made to evaluate the efficiency of this hybrid technique.

Current Teaching

  • MS.c.

    Numerical Solution of Partial Differential Equations

Teaching History

  • MS.c.

    Calculus of Variations and Optimal Control

  • 2021
    Seyfi, Arghavan
    Numerical modeling and solution for chronic wound by hyperbaric oxygen therapy with optimal switching time control
  • 2018
    Emami kerdabadi, Ali
    Solving Multi-Objective Optimal Control Problems Using Multi-Task Learning and Its Application in Cancer Treatment Models
  • 2018
    Bahram Yazdroodi, Fatemeh
  • 2019
    Karimpour, Seyyedmohammadreza

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