Papers by Mohammed G. S. AL-Safi
A computational methods for solving partial differential equations and integral differential equations by using Sumudu-Elzaki transform
AIP Conference Proceedings, Dec 31, 2022
Muthanna Journal of Pure Science, 2018
In this work, an efficient generalized differential transform method (GDTM) is proposed for solvi... more In this work, an efficient generalized differential transform method (GDTM) is proposed for solving the twodimensional Volterra-Integro differential equation (2-DVIDE) of fractional order. The results of the proposed method are compared with exact solution, a numerical example is considered for testing the accuracy and validity of this method.
IOSR Journal of Computer Engineering, 2014
The main idea of any stream cipher algorithm is to generate stream cipher key base on the use set... more The main idea of any stream cipher algorithm is to generate stream cipher key base on the use set of LFSR with fix arrangement, all this LFSR are filling depending on the value of the basic key. In this paper we implement new technique base on dynamic stream cipher algorithm. In this algorithm we implemented dynamic stream cipher algorithm which base on idea of changing the structure of the LFSR with each change in BK and MK to get complex ciphering algorithm this is done by use a bank of LFSR store in file and we select random 10 register that is used in algorithm to generate the key. We implement Basic Efficient Criteria on Key Generator (KG) to test the result which is store in binary files. Three sample of key generation (KG) store in the binary file are test and all the sample is pass the test.
Baghdad Science Journal, 2018
The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fract... more The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.
This paper aims to apply the Bees Algorithm for solving system of equations. The solving System o... more This paper aims to apply the Bees Algorithm for solving system of equations. The solving System of Equations may be linear or nonlinear for a number of unknowns. As an application of System of Equations, we can implement cryptanalysis attack algorithms on stream cipher systems using plaintext attack (or part from it). We consider the Geffe System (which has nonlinear combining function) to be our study case, which is depend on set of Linear Feedback Shift Registers, as a model of stream cipher systems, in the performance of Bees Algorithm by solving System of Equations for any number of variables of the output of Linear Feedback Shift Registers. The application divided into two stages, first, constructing System of Equations for the suggested cryptosystem, and the second, is attacking the variables of System of Equations which they are also represent the initial key values of the combined of Linear Feedback Shift Registers.
Journal of Al-Nahrain University Science, 2018
In this article, a Legendre wavelet-Chebyshev wavelet spectral collocation method is proposed for... more In this article, a Legendre wavelet-Chebyshev wavelet spectral collocation method is proposed for solving fractional order space-time Burger's equation with the Legendre wavelet and Chebyshev wavelet operational matrices of fractional derivatives. The fractional derivative is described in the Caputo sense. The proposed method is based on Legendre wavelet-Chebyshev wavelet for space and time variables respectively. This method will reduc the problem under consideration to the solution of nonlinear algebraic equations. In order to confirm the efficiency of the proposed method, two numerical examples are implemented and comparing the numerical solution with the exact one, as well as, of other methods in given literatures, we demonstrate the high accuracy and efficiency of the proposed method.
International Journal of Nonlinear Analysis and Applications, 2022
In this study, we used a powerful method, named as Sumudu-Elzaki transform method (SETM) together... more In this study, we used a powerful method, named as Sumudu-Elzaki transform method (SETM) together with Adomian polynomials (APs), which can be used to solve non-linear partial differential equations. We will give the essential clarification of this method by expanding some numerical examples to exhibit the viability and the effortlessness of this technique which can be used to solve other non-linear problems.
Design and Simulation of an Affordable Vehicle Speed Detection System
Bulletin of Electrical Engineering and Informatics, Nov 30, 2023
Drowsy driving is a major cause of road accidents worldwide, necessitating the development of eff... more Drowsy driving is a major cause of road accidents worldwide, necessitating the development of effective drowsiness detection systems. Each year, there are more accidents and fatalities than ever before for a variety of causes. For instance, there were 22,952 fatalities and 79,545 injuries as a result of nearly 66,500 vehicle accidents in the last 10 years. In this paper, we propose a novel approach for detecting drowsiness based on behavioral cues captured by a digital camera and utilizing the multi-task cascaded convolutional neural network (MTCNN) deep learning algorithm. A high-resolution camera records visual indications like closed or open eye movement to base the technique on the driver's behavior. In order to measure a car user's weariness in the present frame of reference, eyes landmarks are evaluated, which results in the identification of a fresh constraint known as "eyes aspect ratio." A picture with a frame rate of 60 frames per second (f/s) and a resolution of 4,320 eyeballs was used. The accuracy of sleepiness detection was more than 99.9% in excellent lighting and higher than 99.8% in poor lighting, according to testing data. The current study did better in terms of sleepiness detection accuracy than a lot of earlier investigations.
Comparative Simulation Analysis of MPPT Techniques of PV System Based on Variuos Algorithms
2023 Second International Conference on Electrical, Electronics, Information and Communication Technologies (ICEEICT)
Al-Nahrain Journal of Science, 2018
This paper aims to apply the Bees Algorithm for solving system of equations. The solving System o... more This paper aims to apply the Bees Algorithm for solving system of equations. The solving System of Equations may be linear or nonlinear for a number of unknowns. As an application of System of Equations, we can implement cryptanalysis attack algorithms on stream cipher systems using plaintext attack (or part from it). We consider the Geffe System (which has nonlinear combining function) to be our study case, which is depend on set of Linear Feedback Shift Registers, as a model of stream cipher systems, in the performance of Bees Algorithm by solving System of Equations for any number of variables of the output of Linear Feedback Shift Registers. The application divided into two stages, first, constructing System of Equations for the suggested cryptosystem, and the second, is attacking the variables of System of Equations which they are also represent the initial key values of the combined of Linear Feedback Shift Registers.
Journal of Al-Nahrain University-Science, Mar 1, 2018
In this article, a Legendre wavelet-Chebyshev wavelet spectral collocation method is proposed for... more In this article, a Legendre wavelet-Chebyshev wavelet spectral collocation method is proposed for solving fractional order space-time Burger's equation with the Legendre wavelet and Chebyshev wavelet operational matrices of fractional derivatives. The fractional derivative is described in the Caputo sense. The proposed method is based on Legendre wavelet-Chebyshev wavelet for space and time variables respectively. This method will reduc the problem under consideration to the solution of nonlinear algebraic equations. In order to confirm the efficiency of the proposed method, two numerical examples are implemented and comparing the numerical solution with the exact one, as well as, of other methods in given literatures, we demonstrate the high accuracy and efficiency of the proposed method.
Iraqi journal of science, Jul 1, 2018
In this work, we are concerned with how to find an explicit approximate solution (AS) for the tel... more In this work, we are concerned with how to find an explicit approximate solution (AS) for the telegraph equation of space-fractional order (TESFO) using Sumudu transform method (STM). In this method, the space-fractional order derivatives are defined in the Caputo idea. The Sumudu method (SM) is established to be reliable and accurate. Three examples are discussed to check the applicability and the simplicity of this method. Finally, the Numerical results are tabulated and displayed graphically whenever possible to make comparisons between the AS and exact solution (ES).
Baghdad Science Journal
This paper considers a new Double Integral transform called Double Sumudu-Elzaki transform DSET. ... more This paper considers a new Double Integral transform called Double Sumudu-Elzaki transform DSET. The combining of the DSET with a semi-analytical method, namely the variational iteration method DSETVIM, to arrive numerical solution of nonlinear PDEs of Fractional Order derivatives. The proposed dual method property decreases the number of calculations required, so combining these two methods leads to calculating the solution's speed. The suggested technique is tested on four problems. The results demonstrated that solving these types of equations using the DSETVIM was more advantageous and efficient
Iraqi Journal of Science
This work discusses the beginning of fractional calculus and how the Sumudu and Elzaki transfor... more This work discusses the beginning of fractional calculus and how the Sumudu and Elzaki transforms are applied to fractional derivatives. This approach combines a double Sumudu-Elzaki transform strategy to discover analytic solutions to space-time fractional partial differential equations in Mittag-Leffler functions subject to initial and boundary conditions. Where this method gets closer and closer to the correct answer, and the technique's efficacy is demonstrated using numerical examples performed with Matlab R2015a.
Numerical Solution for Telegraph Equation of Space Fractional Order by Using Legendre Wavelets Spectral Tau Algorithm
Social Science Research Network, 2016
International Journal of Nonlinear Analysis and Applications, 2022
In this study, we used a powerful method, named as Sumudu-Elzaki transform method (SETM) together... more In this study, we used a powerful method, named as Sumudu-Elzaki transform method (SETM) together with Adomian polynomials (APs), which can be used to solve non-linear partial differential equations. We will give the essential clarification of this method by expanding some numerical examples to exhibit the viability and the effortlessness of this technique which can be used to solve other non-linear problems.
Sinc-Jacobi Collocation Algorithm for Solving the Time- Fractional Diffusion-Wave Equations
In this paper, we present a numerical method for fractional diffusion equations with variable coe... more In this paper, we present a numerical method for fractional diffusion equations with variable coefficients. This method is based on Shifted Jacobi collocation scheme and Sinc functions approximation for temporal and spatial discretizations, respectively. The method consists of reducing the problem to the solution of linear algebraic equations by expanding the required approximate solution as the elements of shifted Jacobi polynomials in time and the Sinc functions in space with unknown coefficients. Some examples are provided to illustrate the applicability and the simplicity of the proposed numerical scheme.
IOSR Journal of Mathematics, 2014
In this paper, approximation techniques based on the shifted Jacobi together with spectral tau te... more In this paper, approximation techniques based on the shifted Jacobi together with spectral tau technique are presented to solve a class of initial-boundary value problems for the fractional diffusion equations with variable coefficients on a finite domain. The fractional derivatives are described in the Caputo sense. The technique is derived by expanding the required approximate solution as the elements of shifted Jacobi polynomials. Using the operational matrix of the fractional derivative, the problem can be reduced to a set of linear algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results to show that the proposed method is easy to implement and produce accurate results.
Mathematical theory and modeling, 2015
In this paper the numerical solution of fractional diffusion wave equation is proposed. The fract... more In this paper the numerical solution of fractional diffusion wave equation is proposed. The fractional derivative will be in the Caputo sense. The proposed method will be based on shifted Legendre collocation scheme and sinc function approximation for time and space respectively. The problem is reduced to the problem into a system of algebraic equations after implementing this method. For demonstrating the validity and applicability of the proposed numerical scheme some examples are presented. Keywords : Fractional diffusion equation, Sinc functions, shifted Legendre polynomials, Collocation method.
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Papers by Mohammed G. S. AL-Safi