2019 First International Conference of Intelligent Computing and Engineering (ICOICE), 2019
an image enlargement has intensified in many studies due to its novel approach of re-sizing image... more an image enlargement has intensified in many studies due to its novel approach of re-sizing image through scaling up or scaling down. Consequently, it allows smaller image to fit a larger screen when it is in a full display mode. It is also applicable in reducing higher image resolution into a lower image resolution. Conversely to some of its limitations, this study focuses on double enlargement of the original image by employing biharmonic cubic DP-Ball with respect to four boundary curves condition. Seven grey-scale test images are used in order to study the performance of the method. The performance indicator namely Peak Signal to Noise Ratio (PSNR) is used to compare the ability of the method compared to some existing methods.
In chaos synchronization, the main goal is to design such controller(s) that synchronizes the sta... more In chaos synchronization, the main goal is to design such controller(s) that synchronizes the states of master and slave system asymptotically globally. This paper studied and investigated the synchronization problem of two identical Chen, and identical Tigan chaotic systems and two non-identical Chen and Tigan chaotic systems using Non-linear active control algorithm. In this study, based on Lyapunov stability theory and using non-linear active control algorithm, it has been shown that the proposed schemes have excellent transient performance using only two nonlinear controllers and have shown analytically as well as graphically that synchronization is asymptotically globally stable.
International Journal of Electrical and Computer Engineering (IJECE), 2020
The purpose of this analysis would be to provide a computational technique for the numerical solu... more The purpose of this analysis would be to provide a computational technique for the numerical solution of second-order nonlinear fuzzy initial value (FIVPs). The idea is based on the reformulation of the fifth order Runge Kutta with six stages (RK56) from crisp domain to the fuzzy domain by using the definitions and properties of fuzzy set theory to be suitable to solve second order nonlinear FIVP numerically. It is shown that the second order nonlinear FIVP can be solved by RK56 by reducing the original nonlinear equation intoa system of couple first order nonlinear FIVP. The findings indicate that the technique is very efficient and simple to implement and satisfy the Fuzzy solution properties. The method’s potential is demonstrated by solving nonlinear second-order FIVP.
In this article, a fourth order quartic spline method has been developed to obtain the numerical ... more In this article, a fourth order quartic spline method has been developed to obtain the numerical solution of second order boundary value problem with Dirichlet boundary conditions. The development of the quartic spline method and convergence analysis have been presented. Three test problems have been used for numerical experimentations purposes. Numerical experimentations showed that the quartic spline method generates more accurate numerical results compared with an existing cubic spline method in solving second order boundary value problems.
International journal of pure and applied mathematics, 2018
The purpose of this paper is to present the applications of multidimensional fixed point theorems... more The purpose of this paper is to present the applications of multidimensional fixed point theorems. For this, we provide a multidimensional fixed point theorem and then using this theorem we prove the existence and uniqueness of solution of nonlinear integral equation. AMS Subject Classification: 54H25, 47H10
International Journal of Electrical and Computer Engineering (IJECE), 2020
In this article, we plan to use Bezier curves method to solve linear fuzzy delay differential equ... more In this article, we plan to use Bezier curves method to solve linear fuzzy delay differential equations. A Bezier curves method is presented and modified to solve fuzzy delay problems taking the advantages of the fuzzy set theory properties. The approximate solution with different degrees is compared to the exact solution to confirm that the linear fuzzy delay differential equations process is accurate and efficient. Numerical example is explained and analyzed involved first order linear fuzzy delay differential equations to demonstrate these proper features of this proposed problem.
In this study, Homotopy Perturbation Method (HPM) is proposed, analyzed and developed to solve th... more In this study, Homotopy Perturbation Method (HPM) is proposed, analyzed and developed to solve the fuzzy linear Cauchy reaction-diffusion equation with the fuzzy initial condition. HPM allows for the solution of the fuzzy linear Cauchy reaction-diffusion problem be calculated in the form of series function in which the ingredient can be easily determined and it will be constructed and formulated by using the properties of fuzzy set theory. A numerical experiment is investigated to verify convergence results for comparative purpose with the analytical solution of the given problem to illustrate the efficacy and the capability of the proposed method.
The structure of a market is determined by the number of active firms in it. Over time, this numb... more The structure of a market is determined by the number of active firms in it. Over time, this number is affected by the exit of existing firms, called incumbents, and entries of new firms, called entrant. In this paper, we considered a market governed by the Cobb-Douglas utility function such that the demand function is isoelastic. Each firm is assumed to produce a single homogenous product under a constant unit cost. Furthermore, firms are assumed to be boundedly rational in adjusting their outputs at each period. A firm is considered to exit the market if its output is negative. In this paper, the market is assumed to have zero barrier-to-entry. Therefore, the exiting firm can reenter the market if its output is positive again, and new firms can enter the market easily. Based on these assumptions and rules, a mathematical model was developed and numerical simulations were run using Matlab. By setting certain values for the parameters in the model, initial numerical simulations showed that in the long run...
This paper considers an n-firm oligopoly market where each firm produces a single homogenous prod... more This paper considers an n-firm oligopoly market where each firm produces a single homogenous product under a constant unit cost. Nonlinearity is introduced into the model of this oligopoly market by assuming the market has an isoelastic demand function. Furthermore, instead of the usual assumption of perfectly rational firms, they are assumed to be boundedly rational in adjusting their outputs at each period. The equilibrium of this n discrete dimensional system is obtained and its local stability is calculated.
In chaos synchronization, a feedback controller is designed in a way that one of the chaotic osci... more In chaos synchronization, a feedback controller is designed in a way that one of the chaotic oscillator completely traces the dynamics of another chaotic (master) oscillator.This paper aims to investigate the synchronization behavior between two identical chaotic gyros and two non-identical chaotic gyro and the Double-Hump Duffing-Van der Pol (DHDVP) oscillators.Based on the Routh- Hurwitz criterion and Lyapunov stability theory and using the active control strategy, a single input control function is designed that establishes the synchronization globally.The linear controller gain coefficients are determined by our own choice that ensures the globally exponential stability of the closed-loop. Effect of the unknown time varying external disturbances is under our discussions.The simulation results are carried out to verify the effectiveness of the proposed active control strategy and possible feasibility in synchronizing two identical and two non-identical chaotic oscillators.
2019 First International Conference of Intelligent Computing and Engineering (ICOICE), 2019
an image enlargement has intensified in many studies due to its novel approach of re-sizing image... more an image enlargement has intensified in many studies due to its novel approach of re-sizing image through scaling up or scaling down. Consequently, it allows smaller image to fit a larger screen when it is in a full display mode. It is also applicable in reducing higher image resolution into a lower image resolution. Conversely to some of its limitations, this study focuses on double enlargement of the original image by employing biharmonic cubic DP-Ball with respect to four boundary curves condition. Seven grey-scale test images are used in order to study the performance of the method. The performance indicator namely Peak Signal to Noise Ratio (PSNR) is used to compare the ability of the method compared to some existing methods.
In chaos synchronization, the main goal is to design such controller(s) that synchronizes the sta... more In chaos synchronization, the main goal is to design such controller(s) that synchronizes the states of master and slave system asymptotically globally. This paper studied and investigated the synchronization problem of two identical Chen, and identical Tigan chaotic systems and two non-identical Chen and Tigan chaotic systems using Non-linear active control algorithm. In this study, based on Lyapunov stability theory and using non-linear active control algorithm, it has been shown that the proposed schemes have excellent transient performance using only two nonlinear controllers and have shown analytically as well as graphically that synchronization is asymptotically globally stable.
International Journal of Electrical and Computer Engineering (IJECE), 2020
The purpose of this analysis would be to provide a computational technique for the numerical solu... more The purpose of this analysis would be to provide a computational technique for the numerical solution of second-order nonlinear fuzzy initial value (FIVPs). The idea is based on the reformulation of the fifth order Runge Kutta with six stages (RK56) from crisp domain to the fuzzy domain by using the definitions and properties of fuzzy set theory to be suitable to solve second order nonlinear FIVP numerically. It is shown that the second order nonlinear FIVP can be solved by RK56 by reducing the original nonlinear equation intoa system of couple first order nonlinear FIVP. The findings indicate that the technique is very efficient and simple to implement and satisfy the Fuzzy solution properties. The method’s potential is demonstrated by solving nonlinear second-order FIVP.
In this article, a fourth order quartic spline method has been developed to obtain the numerical ... more In this article, a fourth order quartic spline method has been developed to obtain the numerical solution of second order boundary value problem with Dirichlet boundary conditions. The development of the quartic spline method and convergence analysis have been presented. Three test problems have been used for numerical experimentations purposes. Numerical experimentations showed that the quartic spline method generates more accurate numerical results compared with an existing cubic spline method in solving second order boundary value problems.
International journal of pure and applied mathematics, 2018
The purpose of this paper is to present the applications of multidimensional fixed point theorems... more The purpose of this paper is to present the applications of multidimensional fixed point theorems. For this, we provide a multidimensional fixed point theorem and then using this theorem we prove the existence and uniqueness of solution of nonlinear integral equation. AMS Subject Classification: 54H25, 47H10
International Journal of Electrical and Computer Engineering (IJECE), 2020
In this article, we plan to use Bezier curves method to solve linear fuzzy delay differential equ... more In this article, we plan to use Bezier curves method to solve linear fuzzy delay differential equations. A Bezier curves method is presented and modified to solve fuzzy delay problems taking the advantages of the fuzzy set theory properties. The approximate solution with different degrees is compared to the exact solution to confirm that the linear fuzzy delay differential equations process is accurate and efficient. Numerical example is explained and analyzed involved first order linear fuzzy delay differential equations to demonstrate these proper features of this proposed problem.
In this study, Homotopy Perturbation Method (HPM) is proposed, analyzed and developed to solve th... more In this study, Homotopy Perturbation Method (HPM) is proposed, analyzed and developed to solve the fuzzy linear Cauchy reaction-diffusion equation with the fuzzy initial condition. HPM allows for the solution of the fuzzy linear Cauchy reaction-diffusion problem be calculated in the form of series function in which the ingredient can be easily determined and it will be constructed and formulated by using the properties of fuzzy set theory. A numerical experiment is investigated to verify convergence results for comparative purpose with the analytical solution of the given problem to illustrate the efficacy and the capability of the proposed method.
The structure of a market is determined by the number of active firms in it. Over time, this numb... more The structure of a market is determined by the number of active firms in it. Over time, this number is affected by the exit of existing firms, called incumbents, and entries of new firms, called entrant. In this paper, we considered a market governed by the Cobb-Douglas utility function such that the demand function is isoelastic. Each firm is assumed to produce a single homogenous product under a constant unit cost. Furthermore, firms are assumed to be boundedly rational in adjusting their outputs at each period. A firm is considered to exit the market if its output is negative. In this paper, the market is assumed to have zero barrier-to-entry. Therefore, the exiting firm can reenter the market if its output is positive again, and new firms can enter the market easily. Based on these assumptions and rules, a mathematical model was developed and numerical simulations were run using Matlab. By setting certain values for the parameters in the model, initial numerical simulations showed that in the long run...
This paper considers an n-firm oligopoly market where each firm produces a single homogenous prod... more This paper considers an n-firm oligopoly market where each firm produces a single homogenous product under a constant unit cost. Nonlinearity is introduced into the model of this oligopoly market by assuming the market has an isoelastic demand function. Furthermore, instead of the usual assumption of perfectly rational firms, they are assumed to be boundedly rational in adjusting their outputs at each period. The equilibrium of this n discrete dimensional system is obtained and its local stability is calculated.
In chaos synchronization, a feedback controller is designed in a way that one of the chaotic osci... more In chaos synchronization, a feedback controller is designed in a way that one of the chaotic oscillator completely traces the dynamics of another chaotic (master) oscillator.This paper aims to investigate the synchronization behavior between two identical chaotic gyros and two non-identical chaotic gyro and the Double-Hump Duffing-Van der Pol (DHDVP) oscillators.Based on the Routh- Hurwitz criterion and Lyapunov stability theory and using the active control strategy, a single input control function is designed that establishes the synchronization globally.The linear controller gain coefficients are determined by our own choice that ensures the globally exponential stability of the closed-loop. Effect of the unknown time varying external disturbances is under our discussions.The simulation results are carried out to verify the effectiveness of the proposed active control strategy and possible feasibility in synchronizing two identical and two non-identical chaotic oscillators.
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Papers by Azizan Saaban