The Experts below are selected from a list of 99 Experts worldwide ranked by ideXlab platform
R Saeed - One of the best experts on this subject based on the ideXlab platform.
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nonlinear korteweg de vries Burger Equation for ion acoustic shock waves in the presence of kappa distributed electrons and positrons
Plasma Physics and Controlled Fusion, 2011Co-Authors: Asif Shah, R SaeedAbstract:The ion-acoustic shock waves are studied in electron–positron–ion plasma. The plasma system is composed of three components, specifically relativistic adiabatic ions, kappa distributed electrons and positrons. The Korteweg–de Vries–Burger Equation is derived, solved analytically. The effects of plasma parameters on the shock strength and steepness are investigated. The numerical results are presented graphically for illustration. The results may have importance in non-thermal and relativistic plasmas of pulsar magnetosphere (Arons 2009 Astrophys. Space Sci. Library 357 373; Blasi and Amato arXiv:1007.4745V1 [astro-Ph.HE]).
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nonlinear korteweg de vries Burger Equation for ion acoustic shock waves in a weakly relativistic electron positron ion plasma with thermal ions
Physics of Plasmas, 2010Co-Authors: R Saeed, Asif ShahAbstract:The nonlinear propagation of ion acoustic waves in electron-positron-ion plasma comprising of Boltzmannian electrons, positrons, and relativistic thermal ions has been examined. The Korteweg–de Vries–Burger Equation has been derived by reductive perturbation technique, and its shock like solution is determined analytically through tangent hyperbolic method. The effect of various plasma parameters on strength and structure of shock wave is investigated. The pert graphical view of the results has been presented for illustration. It is observed that strength and steepness of the shock wave enervate with an increase in the ion temperature, relativistic streaming factor, positron concentrations, electron temperature and they accrue with an increase in coefficient of kinematic viscosity. The convective, dispersive, and dissipative properties of the plasma are also discussed. It is determined that the electron temperature has remarkable influence on the propagation and structure of nonlinear wave in such relativ...
Asif Shah - One of the best experts on this subject based on the ideXlab platform.
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nonlinear korteweg de vries Burger Equation for ion acoustic shock waves in the presence of kappa distributed electrons and positrons
Plasma Physics and Controlled Fusion, 2011Co-Authors: Asif Shah, R SaeedAbstract:The ion-acoustic shock waves are studied in electron–positron–ion plasma. The plasma system is composed of three components, specifically relativistic adiabatic ions, kappa distributed electrons and positrons. The Korteweg–de Vries–Burger Equation is derived, solved analytically. The effects of plasma parameters on the shock strength and steepness are investigated. The numerical results are presented graphically for illustration. The results may have importance in non-thermal and relativistic plasmas of pulsar magnetosphere (Arons 2009 Astrophys. Space Sci. Library 357 373; Blasi and Amato arXiv:1007.4745V1 [astro-Ph.HE]).
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nonlinear korteweg de vries Burger Equation for ion acoustic shock waves in a weakly relativistic electron positron ion plasma with thermal ions
Physics of Plasmas, 2010Co-Authors: R Saeed, Asif ShahAbstract:The nonlinear propagation of ion acoustic waves in electron-positron-ion plasma comprising of Boltzmannian electrons, positrons, and relativistic thermal ions has been examined. The Korteweg–de Vries–Burger Equation has been derived by reductive perturbation technique, and its shock like solution is determined analytically through tangent hyperbolic method. The effect of various plasma parameters on strength and structure of shock wave is investigated. The pert graphical view of the results has been presented for illustration. It is observed that strength and steepness of the shock wave enervate with an increase in the ion temperature, relativistic streaming factor, positron concentrations, electron temperature and they accrue with an increase in coefficient of kinematic viscosity. The convective, dispersive, and dissipative properties of the plasma are also discussed. It is determined that the electron temperature has remarkable influence on the propagation and structure of nonlinear wave in such relativ...
Yuelei Xiao - One of the best experts on this subject based on the ideXlab platform.
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analytical solution for the time fractional bbm Burger Equation by using modified residual power series method
Complexity, 2018Co-Authors: Jianke Zhang, Longquan Yong, Yuelei XiaoAbstract:In this study, a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM), is used for finding the series solution of the time fractional Benjamin-Bona-Mahony-Burger (BBM-Burger) Equation. The BBM-Burger Equation is useful in describing approximately the unidirectional propagation of long waves in certain nonlinear dispersive systems. The numerical solution of the BBM-Burger Equation is calculated by Maple. The numerical results show that the RPSM is reliable and powerful in solving the numerical solutions of the BBM-Burger Equation compared with the exact solutions as well as the solutions obtained by homotopy analysis transform method through different graphical representations and tables.
M M Rashidi - One of the best experts on this subject based on the ideXlab platform.
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modified cubic b spline differential quadrature method for numerical solution of three dimensional coupled viscous Burger Equation
Modern Physics Letters B, 2016Co-Authors: Hari S Shukla, Mohammad Tamsir, Vineet K Srivastava, M M RashidiAbstract:In this paper, we propose a modified cubic B-spline differential quadrature method (MCB-DQM) to solve three-dimensional (3D) coupled viscous Burger Equation with appropriate initial and boundary conditions. In this method, modified cubic B-spline is treated as a basis function in the differential quadrature method (DQM) to compute the weighting coefficients. In this way, the Burger Equation is reduced into a system of ordinary differential Equations. An optimal strong stability-preserving Runge–Kutta (SSP-RK) method is employed to solve the resulting system of ordinary differential Equations. In order to illustrate the accuracy and efficiency of the proposed method, a numerical problem is considered. From the numerical experiment, it is found that the computed result is in good agreement with the exact solution. Stability analysis of the method is also carried out using the matrix stability analysis method and found to be unconditionally stable.
Vineet K Srivastava - One of the best experts on this subject based on the ideXlab platform.
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modified cubic b spline differential quadrature method for numerical solution of three dimensional coupled viscous Burger Equation
Modern Physics Letters B, 2016Co-Authors: Hari S Shukla, Mohammad Tamsir, Vineet K Srivastava, M M RashidiAbstract:In this paper, we propose a modified cubic B-spline differential quadrature method (MCB-DQM) to solve three-dimensional (3D) coupled viscous Burger Equation with appropriate initial and boundary conditions. In this method, modified cubic B-spline is treated as a basis function in the differential quadrature method (DQM) to compute the weighting coefficients. In this way, the Burger Equation is reduced into a system of ordinary differential Equations. An optimal strong stability-preserving Runge–Kutta (SSP-RK) method is employed to solve the resulting system of ordinary differential Equations. In order to illustrate the accuracy and efficiency of the proposed method, a numerical problem is considered. From the numerical experiment, it is found that the computed result is in good agreement with the exact solution. Stability analysis of the method is also carried out using the matrix stability analysis method and found to be unconditionally stable.
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numerical solution of two dimensional coupled viscous Burger Equation using modified cubic b spline differential quadrature method
AIP Advances, 2014Co-Authors: Hari S Shukla, Mohammad Tamsir, Vineet K Srivastava, Jai KumarAbstract:In this paper, a numerical solution of two dimensional nonlinear coupled viscous Burger Equation is discussed with appropriate initial and boundary conditions using the modified cubic B-spline differential quadrature method. In this method, the weighting coefficients are computed using the modified cubic B-spline as a basis function in the differential quadrature method. Thus, the coupled Burger Equation is reduced into a system of ordinary differential Equations. An optimal five stage and fourth-order strong stability preserving Runge–Kutta scheme is applied for solving the resulting system of ordinary differential Equations. The accuracy of the scheme is illustrated by taking two numerical examples. Computed results are compared with the exact solutions and other results available in literature. Obtained numerical result shows that the described method is efficient and reliable scheme for solving two dimensional coupled viscous Burger Equation.
