The Experts below are selected from a list of 126 Experts worldwide ranked by ideXlab platform
Abdon Atangana - One of the best experts on this subject based on the ideXlab platform.
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on the complex and hyperbolic structures of the longitudinal wave equation in a magneto electro elastic circular rod
Smart Materials and Structures, 2016Co-Authors: Haci Mehmet Baskonus, Hasan Bulut, Abdon AtanganaAbstract:In this study, we improve a new analytical method called the 'Modified exp Expansion Function method'. This method is based on the exp Expansion Function method. We obtain new analytical solutions expressed by hyperbolic, complex and complex hyperbolic Function solutions to the nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod. We plot two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
Haci Mehmet Baskonus - One of the best experts on this subject based on the ideXlab platform.
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on the exact and numerical solutions to the coupled boussinesq equation arising in ocean engineering
Indian Journal of Physics, 2019Co-Authors: Tukur Abdulkadir Sulaiman, Hasan Bulut, Asif Yokus, Haci Mehmet BaskonusAbstract:The studies of the dynamic behaviors of nonlinear models arising in ocean engineering play a significant role in our daily activities. In this study, we investigate the coupled Boussinesq equation which arises in the shallow water waves for two-layered fluid flow. The modified exp $$(-\varphi (\zeta ))$$ -Expansion Function method is utilized in reaching the solutions to this equation such as the topological kink-type soliton and singular soliton solutions. The interesting 2D and 3D graphics of the obtained analytical solutions in this study are presented. Via one of the reported analytical solutions, the finite forward difference method is used in obtaining the approximate numerical and exact solutions to this equation. The Fourier–Von Neumann analysis is used in checking the stability of the used numerical method with the studied model. The $$L_{2}$$ and $$L_{\infty }$$ error norms are computed. We finally present a comprehensive conclusion to this study.
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on the complex and hyperbolic structures of the longitudinal wave equation in a magneto electro elastic circular rod
Smart Materials and Structures, 2016Co-Authors: Haci Mehmet Baskonus, Hasan Bulut, Abdon AtanganaAbstract:In this study, we improve a new analytical method called the 'Modified exp Expansion Function method'. This method is based on the exp Expansion Function method. We obtain new analytical solutions expressed by hyperbolic, complex and complex hyperbolic Function solutions to the nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod. We plot two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
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on the complex and hyperbolic structures for the 2 1 dimensional boussinesq water equation
Entropy, 2015Co-Authors: Figen Ozpinar, Haci Mehmet Baskonus, Hasan BulutAbstract:In this study, we have applied the modified exp(−Ω(ξ))-Expansion Function method to the (2 + 1)-dimensional Boussinesq water equation. We have obtained some new analytical solutions such as exponential Function, complex Function and hyperbolic Function solutions. It has been observed that all analytical solutions have been verified to the (2 + 1)-dimensional Boussinesq water equation by using Wolfram Mathematica 9. We have constructed the two- and three-dimensional surfaces for all analytical solutions obtained in this paper using the same computer program.
Henri Gilbert - One of the best experts on this subject based on the ideXlab platform.
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The security of one-block-to-many modes of operation
Lecture Notes in Computer Science, 2003Co-Authors: Henri GilbertAbstract:In this paper, we investigate the security, in the Luby-Rackoff security paradigm, of blockcipher modes of operation allowing to expand a one-block input into a longer t-block output under the control of a secret key K. Such one-block-to-many modes of operation are of frequent use in cryptology. They can be used for stream cipher encryption purposes, and for authentication and key distribution purposes in contexts such as mobile communications. We show that although the Expansion Functions resulting from modes of operation of blockciphers such as the counter mode or the output feedback mode are not pseudorandom, slight modifications of these two modes provide pseudorandom Expansion Functions. The main result of this paper is a detailed proof, in the Luby-Rackoff security model, that the Expansion Function used in the construction of the third generation mobile (UMTS) example authentication and key agreement algorithm MILENAGE is pseudorandom.
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FSE - The Security of ”One-Block-to-Many” Modes of Operation
Fast Software Encryption, 2003Co-Authors: Henri GilbertAbstract:In this paper, we investigate the security, in the Luby-Rackoff security paradigm, of blockcipher modes of operation allowing to expand a one-block input into a longer t-block output under the control of a secret key K. Such ”one-block-to-many” modes of operation are of frequent use in cryptology. They can be used for stream cipher encryption purposes, and for authentication and key distribution purposes in contexts such as mobile communications. We show that although the Expansion Functions resulting from modes of operation of blockciphers such as the counter mode or the output feedback mode are not pseudorandom, slight modifications of these two modes provide pseudorandom Expansion Functions. The main result of this paper is a detailed proof, in the Luby-Rackoff security model, that the Expansion Function used in the construction of the third generation mobile (UMTS) example authentication and key agreement algorithm MILENAGE is pseudorandom.
S K Biswal - One of the best experts on this subject based on the ideXlab platform.
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Study on particle dynamics in different cross sectional shapes of air dense medium fluidized bed separator
Fuel, 2013Co-Authors: A K Sahu, Alok Tripathy, S K BiswalAbstract:Abstract Dry coal washing is gaining popularity on account of its ability to produce clean coal without the use of water which is becoming to be a costly resource for beneficiation. Air dense medium fluidized bed separation (ADMFBS) is one of the dry beneficiation techniques which is used for cleaning of coal. Fine magnetite particles are used as medium to make pseudo-fluid by fluidization method. The effectiveness of ADMFBS depends on stability of the fluidized bed. In the present work, an attempt has been made to study the stability characteristics of different cross-sectional shapes of fluidized bed having same cross-sectional area. Different indicators like fluidization index, particulate Expansion Function, pressure drop of bed and distributor, minimum fluidization and bubbling velocities were used to characterize the stability of fluidized bed. The effect of different operating and design parameters on the homogeneity and stability of the fluidized bed was studied. It was observed that cross sectional shape of the fluidized bed column has a significant effect on the stability of the bed. Moreover, rectangular cross-sectional shape provides better stability properties compared to square or circular shape.
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stability study of an air dense medium fluidized bed separator for beneficiation of high ash indian coal
International Journal of Coal Preparation and Utilization, 2011Co-Authors: A K Sahu, Alok Tripathy, S K Biswal, A ParidaAbstract:Indian high ash noncoking coal contains a substantial quantity of near-gravity materials (NGM). The presence of NGM needs beneficiation in dense medium separation process. Air dense medium fluidized bed separator (ADMFBS) uses the magnetite medium to improve the separation efficiency of beneficiation of high NGM coal. Stability of the particulate fluidized bed in this system is the essential prerequisite for the separation of heavy and light particles. In this study, the characterization of medium and particulate fluidized bed was assessed to maintain the nonbubbling condition. Stability of the fluidized bed was characterized by different expressions like fluidization index, particulate Expansion Function, Froude number of particle, Reynolds number of particle, and pressure drop ratio using the minimum fluidization velocity, minimum bubbling velocity, pressure drop of distributor and bed, bed porosity, air viscosity, aspect ratio, density of air, and density of medium. It was found that the fluidization i...
Hasan Bulut - One of the best experts on this subject based on the ideXlab platform.
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on the exact and numerical solutions to the coupled boussinesq equation arising in ocean engineering
Indian Journal of Physics, 2019Co-Authors: Tukur Abdulkadir Sulaiman, Hasan Bulut, Asif Yokus, Haci Mehmet BaskonusAbstract:The studies of the dynamic behaviors of nonlinear models arising in ocean engineering play a significant role in our daily activities. In this study, we investigate the coupled Boussinesq equation which arises in the shallow water waves for two-layered fluid flow. The modified exp $$(-\varphi (\zeta ))$$ -Expansion Function method is utilized in reaching the solutions to this equation such as the topological kink-type soliton and singular soliton solutions. The interesting 2D and 3D graphics of the obtained analytical solutions in this study are presented. Via one of the reported analytical solutions, the finite forward difference method is used in obtaining the approximate numerical and exact solutions to this equation. The Fourier–Von Neumann analysis is used in checking the stability of the used numerical method with the studied model. The $$L_{2}$$ and $$L_{\infty }$$ error norms are computed. We finally present a comprehensive conclusion to this study.
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Analytical solutions of Phi-four equation
An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2017Co-Authors: Seyma Tuluce Demiray, Hasan BulutAbstract:This study bases attention on new analytical solutions of Phi-four equation. The modified exp -Expansion Function method (MEFM) has been used to obtain analytical solutions of the Phi-four equation. By using this method, dark soliton solutions and trigonometric Function solution of the Phi-four equation have been found.
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on the complex and hyperbolic structures of the longitudinal wave equation in a magneto electro elastic circular rod
Smart Materials and Structures, 2016Co-Authors: Haci Mehmet Baskonus, Hasan Bulut, Abdon AtanganaAbstract:In this study, we improve a new analytical method called the 'Modified exp Expansion Function method'. This method is based on the exp Expansion Function method. We obtain new analytical solutions expressed by hyperbolic, complex and complex hyperbolic Function solutions to the nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod. We plot two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
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on the complex and hyperbolic structures for the 2 1 dimensional boussinesq water equation
Entropy, 2015Co-Authors: Figen Ozpinar, Haci Mehmet Baskonus, Hasan BulutAbstract:In this study, we have applied the modified exp(−Ω(ξ))-Expansion Function method to the (2 + 1)-dimensional Boussinesq water equation. We have obtained some new analytical solutions such as exponential Function, complex Function and hyperbolic Function solutions. It has been observed that all analytical solutions have been verified to the (2 + 1)-dimensional Boussinesq water equation by using Wolfram Mathematica 9. We have constructed the two- and three-dimensional surfaces for all analytical solutions obtained in this paper using the same computer program.
