Ahmad Reza Haghighi

Ahmad Reza Haghighi
Allameh Tabataba'i University | ATU · Department of Mathmatics

Professor

About

42
Publications
9,506
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409
Citations

Publications

Publications (42)
Article
Full-text available
In this study, a model-free PIφ-sliding mode control ( PIφ-SMC) methodology is proposed to synchronize a specific class of chaotic fractional-order memristive neural network systems (FOMNNSs) with delays and input saturation. The fractional-order Lyapunov stability theory is used to design a two-level PIφ-SMC which can effectively manage the inhere...
Research
You are welcome to submit your manuscripts to this special issue I am guest editing with Fractal and Fractional MDPI. The collection will include different aspects related to "Delayed and Stochastic Fractional Order Dynamical Systems: Theory, Numerical Methods, Control, and Applications". The special issue will be open to submissions until 30 Septe...
Article
Full-text available
Hybrid optical systems with integrated control mechanisms enable a dynamic adjustment of optical components, ensuring real-time optimization, adaptability to changing conditions, and precise functionality. This control requirement enhances their performance in applications demanding responsiveness, such as autonomous systems, adaptive optics, and a...
Preprint
In this paper, the differential quadrature method is implemented to find the numerical solution of two and three-dimensional telegraphic equations‏ with Dirichlet and Neumann’s boundary values. This technique is according to exponential cubic B-spline functions. So, a modification on the exponential cubic B- spline is applied in order to use as a b...
Article
Full-text available
We present a new numerical approach to solve the optimal control problems (OCPs) with a quadratic performance index. Our method is based on the Bell polynomials basis. The properties of Bell polynomials are explained. We also introduce the operational matrix of derivative for Bell polynomials. The chief feature of this matrix is reducing the OCPs t...
Article
Full-text available
In this study, we examine the stabilization of fractional-order chaotic nonlinear dynamical systems with model uncertainties and external disturbances. We used the sliding mode controller by a new approach for controlling and stabilization of these systems. In this research, we replaced a continuous function with the sign function in the controller...
Article
In the present study, the problem of simulating a non-Newtonian and two-dimensional blood flow in a flexible stenosed artery is examined by an implicit finite difference method. The streaming blood in the human artery is represented as a micropolar fluid. The governing non-Linear partial differential equations are modeled in cylindrical coordinates...
Article
Full-text available
In this paper quadratic and quartic B-splines were used for reconstruction of an approximating function, where the integral values of successive subintervals were used instead of function values at the knots. After introducing integro quadratic and quartic interpolation a comparison was done between them through presenting numerical examples. The i...
Article
In the present study, a two-dimensional pulsatile blood flow model is created and the related heat transfer characteristics through a stenosed artery are investigated in the presence of a defined magnetic field with the body acceleration. The blood domain is assumed as a nonlinear, time-dependent, incompressible and laminar flow. The blood flow is...
Article
A mathematical model for two-dimensional pulsatile blood flow through a constriction vessels under magnetic field and body acceleration is numerically simulated. The artery considered as an elastic cylindrical tube and the geometry of the constriction assumed to time-dependent with an aim to provide resemblance to the in-vivo situations. The blood...
Article
In this research, a mathematical model of pulsating blood flow is numerically simulated in a stenotic artery. The Sisko fluid model has been used to describe the non-Newtonian rheology of blood. Vessels are assumed to be elastic and so their geometry is time-dependent. To simulate a more real human body, the stenoses are assumed to be tapered. By a...
Article
Full-text available
Burgers' equation is a simplified form of the Navier-Stokes equations that represents the nonlinear features of them. In this paper, the transient one-dimensional nonlinear Burgers' equation is solved using the lattice Boltzmann method (LBM). The results are compared with the modified local Crank-Nicolson method (MLCN) and exact solutions. An examp...
Article
Essential oil analysis of Thymus fallax Fisch. &C.A.Mey was performed as a first attempt in East Azerbaijan province, Iran. The results show that quantity of oil yields are varied between 0.53% to 0.91% with respect to dry samples weight. Thymol (43.43 - 61.14 %), borneol (3.89 - 7.01 %), carvacrol (3.88- 6.5 %) and p-cymen (4.58 - 6 %) are the mai...
Article
Full-text available
In the present study, a two–layered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined. The two–fluid model consists of a core layer of a suspension of erythrocytes and peripheral plasma layer. It is assumed that the core and peripheral plasma layer behave as micropolar and Newtonian fluids respectively. The...
Article
Full-text available
In this study, a switching adaptive controller is introduced to stabilise fractional-order dynamical systems with completely unknown dynamics and structure. The boundedness property of the chaotic systems is used to design a switching adaptive control scheme which suppresses the chaotic behaviour of the fractional-order systems. The analytical term...
Article
In this study a mathematical model for two-dimensional pulsatile blood flow through overlapping constricted tapered vessels is presented. In order to establish resemblance to the in vivo conditions, an improved shape of the time-variant overlapping stenosis in the elastic tapered artery subject to pulsatile pressure gradient is considered. Because...
Article
Full-text available
In this paper a pressure based method is used for the numerical solution of two-dimensional incompressible Navier-Stokes equations without dimension. SIMPLE, SIMPLER (SIMPLE Revised) and Vorticity-Stream function methods are compared from accuracy and convergence speed aspects and results are analyzed for standard CFD test case-Derived Cavity flow.
Article
Full-text available
An easy correction to the standard Newton procedure for estimating the root of a univariate function is explained and dissolution. For a given number of functions and derivative appraisements, The correction procedure converges quicker, By the convergence of the procedure is 1 2 2.4  While the convergence of standard Newton procedure is equal to...
Article
This article investigates the chaos control problem for the fractional-order chaotic systems containing unknown structure and input nonlinearities. Two types of nonlinearity in the control input are considered. In the first case, a general continuous nonlinearity input is supposed in the controller, and in the second case, the unknown dead-zone inp...
Article
Full-text available
This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory...
Article
A nonlinear two-dimensional pulsatile blood flow through a stenosed artery is investigated by treating the deformable vascular wall as an elastic cylindrical tube containing the Newtonian fluid. In order to establish a resemblance to the in vivo conditions, the mathematical model of an improved shape of the time-variant overlapping stenosis is cons...
Article
Full-text available
In this paper, a numerical scheme named alternating segment Crank-Nikolson is used for solving heat equation. This scheme can be used directly on parallel computations. Truncation error and stability of the presented method is analyzed. Comparison in accuracy with the fully implicit Crank-Nikolson scheme is presented in numerical experiment.
Article
In this paper, the alternating segment Crank-Nicolson (nASCN) scheme is compared to the alternating group explicit-implicit (nAGEI) scheme for the dispersive equation with periodic boundary conditions. Both schemes are unconditionally stable and have a truncation error of the fourth-order in space. The comparison between the accuracy of these two s...
Article
Full-text available
This paper aims to approximate the fractional diffusion equations with the Riesz fractional derivative in a finite domain utilizing the McCormack numerical method with a second order accuracy. To approximate the Riesz fractional derivative, the fractional central difference is used. The fractional derivative error is obtained for the central fracti...
Article
In this paper, a fractional diffusion equation by using the explicit numerical method in a finite domain with second-order accuracy which includes the Riesz fractional derivative approximation is studied. For the Riesz fractional derivative approximation, ''fractional centered derivative'' approach is used. The error of the Riesz fractional derivat...
Article
Blood flow in stenosed tube has been modeled in the present investigation. The model is aimed at studying the effect of stenosis on flow rate and shear stress distribution on time dependent (pulsatile) flow of blood in the arteries. The model has been compared with the time independent model and shown that the time dependent has significant effect...
Article
The paper introduces a function value based fraction of cubic spline interpolation, which is used for studying the curves and surfaces. The interpolation function has a simple and explicit mathematical representation, convenient both in practical application and in theoretical studies. It should be mentioned that the interpolating surfaces are C 1...
Article
Full-text available
Graph theory is mathematics strands. It is a interesting subject matter. Our claim is that this subject can serve as a tool for learning mathematical processes .Notional council of teachers on mathematics of America (NCTM) proposed five standards that students should learn in K-12. In this paper we showed how can use Graph theory to teach three sta...
Article
Full-text available
The levels of genetic variation in dioecious plant species have been reported to differ between male and female populations. This has been attributed to different factors including distribution patterns of individuals, sex ratio and also stochastic events. We measured the levels of genetic diversity in male and female populations of dioecious Pista...
Article
The effects of body acceleration and magnetic field on human body under varied conditions (Normal and decreased) have been investigated in these studies. Physiological parameters that affect human body such as stress, resistance to flow and flow rates have been computed for Normal blood and diseased blood. One of the most important aspects of these...
Article
Blood flow in a straight and stenosed tube is modeled in the present investigation. Flow variables such as velocity, flow rate, shear stress and resistance to flow have been derived for the tube geometry of straight and for the constriction (stenosis). Though the result at present are restricted only for the analytical comparison however it is inte...
Article
Full-text available
The main objective of this study is to investigate the role of graph theory in representing and modelling of mathematical ideas and problem solving. Not only is this topic, interesting but also is a useful tool for representation and modelling. This article via representation of examples of graph theory investigates that how this topic provides goa...

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