Mohamed Torky - Academia.edu (original) (raw)
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Papers by Mohamed Torky
www.arcjournals.org , 2014
In this work the Legendre multiwavelet and Chebyshev multiwavelet basis with considering the stan... more In this work the Legendre multiwavelet and Chebyshev multiwavelet basis with considering the standard Galerkin method has been applied to give the approximate solution for linear first order system of partial differential equations (PDE's). The properties ofthe Legendre multiwaveletand Chebyshev multiwavelet are presented. These properties together with the standard Galerkin method are then utilized to reduce linear first order system of PDE's to the solution of an algebraic system. Numerical results and comparison with exact solution are given to demonstrate the applicability and efficiency of the method.
In this paper, Laplace decomposition method (LDM) and Pade approximant are employed to find appro... more In this paper, Laplace decomposition method (LDM) and Pade approximant are employed to find approximate solutions for the Whitham-Broer-Kaup shallow water model, the coupled nonlinear reaction diffusion equations and the system of Hirota-Satsuma coupled KdV. In addition, the results obtained from Laplace decomposition method (LDM) and Pade approximant are compared with corresponding exact analytical solutions.
In This study, we employed the Exp-function method to obtain the exact solutions of two systems o... more In This study, we employed the Exp-function method to obtain the exact solutions of two systems of nonlinear partial differential equations the coupled Hirota-Satsuma-KdV equation and the Hirota-Satsuma coupled KdV and compare this exact solutions with corresponding numerical solution obtained by the homotopy analysis method (HAM).
The Legendre multiwavelet Galerkin method is adopted to give the approximate solution for the non... more The Legendre multiwavelet Galerkin method is adopted to give the approximate solution for the nonlinear fractional partial differential equations (NFPDEs). The Legendre multiwavelet properties are presented. The main characteristic of this approach is using these properties together with the Galerkin method to reduce the NFPDEs to the solution of nonlinear system of algebraic equations. We presented the numerical results and a comparison with the exact solution in the cases when we have an exact solution to demonstrate the applicability and efficiency of the method. The fractional derivative is described in the Caputo sense.
A lot of mobile phone users are rapidly switching to smartphones, and many users download and ins... more A lot of mobile phone users are rapidly switching to smartphones, and many users download and install mobile applications without any considered of security. Therefore, smartphones are interesting goal for malware, mainly with Android devices. So, it is too important to use a system to detect the malware applications before installing it on the phones. In this paper we propose a powerful System to detect Android malware based on Android permissions. The proposed approach is built to extract features relevant to malware based on extracted permissions from AndroidManifest.xml file to be used as features for training machine learning classifiers. The experimental results show that proposed approach obtains an accuracy of over 95% in our sample set of 18,490 applications (11,672 benign; 6,818 malicious). Thus, it can reliably detect both malware and benign applications.
This paper is devoted to the numerical comparison of methods applied to solve the generalized Ito... more This paper is devoted to the numerical comparison of methods applied to solve the generalized Ito system. Four numerical methods are compared, namely, the Laplace decomposition method (LDM), the variation iteration method (VIM), the homotopy perturbation method (HPM) and the Laplace decomposition method with the Pade approximant (LD-PA) with the exact solution. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 33F05; 35A15; 35C10; 65M12; 70G75 ª 2013 Production and hosting by Elsevier B.V. on behalf of Egyptian Mathematical Society.
www.arcjournals.org , 2014
In this work the Legendre multiwavelet and Chebyshev multiwavelet basis with considering the stan... more In this work the Legendre multiwavelet and Chebyshev multiwavelet basis with considering the standard Galerkin method has been applied to give the approximate solution for linear first order system of partial differential equations (PDE's). The properties ofthe Legendre multiwaveletand Chebyshev multiwavelet are presented. These properties together with the standard Galerkin method are then utilized to reduce linear first order system of PDE's to the solution of an algebraic system. Numerical results and comparison with exact solution are given to demonstrate the applicability and efficiency of the method.
In this paper, Laplace decomposition method (LDM) and Pade approximant are employed to find appro... more In this paper, Laplace decomposition method (LDM) and Pade approximant are employed to find approximate solutions for the Whitham-Broer-Kaup shallow water model, the coupled nonlinear reaction diffusion equations and the system of Hirota-Satsuma coupled KdV. In addition, the results obtained from Laplace decomposition method (LDM) and Pade approximant are compared with corresponding exact analytical solutions.
In This study, we employed the Exp-function method to obtain the exact solutions of two systems o... more In This study, we employed the Exp-function method to obtain the exact solutions of two systems of nonlinear partial differential equations the coupled Hirota-Satsuma-KdV equation and the Hirota-Satsuma coupled KdV and compare this exact solutions with corresponding numerical solution obtained by the homotopy analysis method (HAM).
The Legendre multiwavelet Galerkin method is adopted to give the approximate solution for the non... more The Legendre multiwavelet Galerkin method is adopted to give the approximate solution for the nonlinear fractional partial differential equations (NFPDEs). The Legendre multiwavelet properties are presented. The main characteristic of this approach is using these properties together with the Galerkin method to reduce the NFPDEs to the solution of nonlinear system of algebraic equations. We presented the numerical results and a comparison with the exact solution in the cases when we have an exact solution to demonstrate the applicability and efficiency of the method. The fractional derivative is described in the Caputo sense.
A lot of mobile phone users are rapidly switching to smartphones, and many users download and ins... more A lot of mobile phone users are rapidly switching to smartphones, and many users download and install mobile applications without any considered of security. Therefore, smartphones are interesting goal for malware, mainly with Android devices. So, it is too important to use a system to detect the malware applications before installing it on the phones. In this paper we propose a powerful System to detect Android malware based on Android permissions. The proposed approach is built to extract features relevant to malware based on extracted permissions from AndroidManifest.xml file to be used as features for training machine learning classifiers. The experimental results show that proposed approach obtains an accuracy of over 95% in our sample set of 18,490 applications (11,672 benign; 6,818 malicious). Thus, it can reliably detect both malware and benign applications.
This paper is devoted to the numerical comparison of methods applied to solve the generalized Ito... more This paper is devoted to the numerical comparison of methods applied to solve the generalized Ito system. Four numerical methods are compared, namely, the Laplace decomposition method (LDM), the variation iteration method (VIM), the homotopy perturbation method (HPM) and the Laplace decomposition method with the Pade approximant (LD-PA) with the exact solution. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 33F05; 35A15; 35C10; 65M12; 70G75 ª 2013 Production and hosting by Elsevier B.V. on behalf of Egyptian Mathematical Society.