The Experts below are selected from a list of 3726 Experts worldwide ranked by ideXlab platform
Allaberen Ashyralyev - One of the best experts on this subject based on the ideXlab platform.
-
Numerical solution of a two dimensional elliptic-parabolic equation with Dirichlet-Neumann Condition
2018Co-Authors: Allaberen Ashyralyev, Okan Gercek, Emel ZusiAbstract:In the present paper, a two dimensional elliptic-parabolic equation with Dirichlet-Neumann boundary Condition is studied. The first and second order of accuracy difference schemes for the numerical solution of this problem are presented. Illustrative numerical results of these difference schemes are provided by using a procedure of modified Gauss elimination method.In the present paper, a two dimensional elliptic-parabolic equation with Dirichlet-Neumann boundary Condition is studied. The first and second order of accuracy difference schemes for the numerical solution of this problem are presented. Illustrative numerical results of these difference schemes are provided by using a procedure of modified Gauss elimination method.
-
fdm for fractional parabolic equations with the Neumann Condition
Advances in Difference Equations, 2013Co-Authors: Allaberen Ashyralyev, Zafer CakirAbstract:In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary Condition are presented. Almost coercive stability estimates for the solution of these difference schemes are obtained. The method is illustrated by numerical examples.
-
Approximate solutions of delay parabolic equations with the Neumann Condition
2012Co-Authors: Allaberen Ashyralyev, Deniz AgirsevenAbstract:An approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation is considered. Stable difference schemes of first and second orders of accuracy for this problem are investigated. Convergence estimates for the solution of these difference schemes in Holder norms are established. Theoretical statements are supported by numerical examples.
-
Fractional parabolic differential and difference equations with the Dirichlet-Neumann Condition
2012Co-Authors: Allaberen Ashyralyev, Nazar Emirov, Zafer CakirAbstract:The multidimensional fractional parabolic equation with the Dirichlet-Neumann Condition is studied. Stability estimates for the solution of the initial-boundary value problem for this fractional parabolic equation are established. The stable difference schemes for this problem are presented. Stability estimates for the solution of the first order of accuracy difference scheme are obtained. A procedure of modified Gauss elimination method is applied for the solution of first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.
-
On numerical solution of multipoint NBVP for hyperbolic-parabolic equations with Neumann Condition
2012Co-Authors: Allaberen Ashyralyev, Yildirim OzdemirAbstract:A numerical method is proposed for solving multi-dimensional hyperbolic-parabolic differential equations with the nonlocal boundary Condition in t and Neumann Condition in space variables. The first and second orders of accuracy difference schemes are presented. The stability estimates for the solution and its first and second orders difference derivatives are established. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of a one-dimensional hyperbolic-parabolic differential equations with variable in x coefficients.
Julio Cesar Ruiz Claeyssen - One of the best experts on this subject based on the ideXlab platform.
-
Thermally driven cavity flow with Neumann Condition for the pressure
Applied Numerical Mathematics, 2020Co-Authors: Obidio Rubio, Elba Bravo, Julio Cesar Ruiz ClaeyssenAbstract:We develop a velocity-pressure algorithm with a pressure Neumann Condition in primitive variables using finite differences, for a 2D thermally driven square cavity flow with the Boussinesq approximation and a fixed Prandtl number. The pressure field is updated in a one-step weighted form. Simulations were made for several Rayleigh numbers and the results are close to those found in the literature.
-
Rotating incompressible flow with a pressure Neumann Condition
International Journal for Numerical Methods in Fluids, 2020Co-Authors: Julio Cesar Ruiz Claeyssen, Elba Bravo Asenjo, Obidio RubioAbstract:This work considers the internal flow of an incompressible viscous fluid contained in a rectangular duct subject to a rotation. A direct velocity–pressure algorithm in primitive variables with a Neumann Condition for the pressure is employed. The spatial discretization is made with finite central differences on a staggered grid. The pressure and velocity fields are directly updated without any iteration. Numerical simulations with several Reynolds numbers and rotation rates were performed for ducts of aspect ratios 2:1 and 8:1. Copyright © 2005 John Wiley & Sons, Ltd.
-
A convective weakly viscoelastic rotating flow with pressure Neumann Condition
International Journal for Numerical Methods in Fluids, 2009Co-Authors: Julio Cesar Ruiz Claeyssen, Elba Bravo Asenjo, Obidio RubioAbstract:The objective of this work is to investigate through the numeric simulation, the effects of the weakly viscoelastic flow within a rotating rectangular duct subject to a buoyancy force due to the heating of one of the walls of the duct. A direct velocity-pressure algorithm in primitive variables with a Neumann Condition for the pressure is employed. The spatial discretization is made with finite central differences on a staggered grid. The pressure field is directly updated without any iteration. Numerical simulations were done for several Weissemberg numbers (We) and Grashof numbers (Gr). The numerical results show that for high Weissemberg numbers (We>7.4 × 10 -5 ) and for ducts with aspect ratio 2:1 and 8:1, the secondary flow is restabilized with a stretched double vortex configuration. It is also observed that when the Grashof number is increased (Gr>17 × 10 -4 ), the buoyancy force neutralizes the effects of the Coriolis force for ducts with aspect ratio 8:1.
-
simulation in primitive variables of incompressible flow with pressure Neumann Condition
International Journal for Numerical Methods in Fluids, 1999Co-Authors: Julio Cesar Ruiz Claeyssen, Rodrigo B Platte, Elba BravoAbstract:SUMMARY A velocity‐pressure algorithm, in primitive variables and finite differences, is developed for incompressible viscous flow with a Neumann pressure boundary Condition. The pressure field is initialized by least-squares and updated from the Poisson equation in a direct weighted manner. Simulations with the cavity problem were made for several Reynolds numbers. The expected displacement of the central vortex was obtained, as well as the development of secondary and tertiary eddies. Copyright © 1999 John Wiley & Sons, Ltd.
-
A direct one-step pressure actualization for incompressible flow with presssure Neumann Condition
Journal of Computational and Applied Mathematics, 1999Co-Authors: Elba Bravo, Julio Cesar Ruiz Claeyssen, Rodrigo B PlatteAbstract:We develop a velocity-pressure algorithm, in primitive variables and finite differences, for incompressible viscous flow with a Neumann pressure boundary Condition. The pressure field is initialized by least-squares and up-dated from the Poisson equation in one step without iteration. Simulations with the square cavity problem are made for several Reynolds numbers. We obtain the expected displacement of the central vortex and the appearance of secondary and tertiary eddies. Different geometry ratios and a 3D cavity simulation are also considered.
Taishan Yi - One of the best experts on this subject based on the ideXlab platform.
-
map dynamics versus dynamics of associated delay reaction diffusion equations with a Neumann Condition
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2010Co-Authors: Taishan YiAbstract:In this paper, we consider a class of delay reaction–diffusion equations (DRDEs) with a parameter e >0. A homogeneous Neumann boundary Condition and non-negative initial functions are posed to the equation. By letting , such an equation is formally reduced to a scalar difference equation (or map dynamical system). The main concern is the relation of the absolute (or delay-independent) global stability of a steady state of the equation and the dynamics of the nonlinear map in the equation. By employing the idea of attracting intervals for solution semiflows of the DRDEs, we prove that the globally stable dynamics of the map indeed ensures the delay-independent global stability of a constant steady state of the DRDEs. We also give a counterexample to show that the delay-independent global stability of DRDEs cannot guarantee the globally stable dynamics of the map. Finally, we apply the abstract results to the diffusive delay Nicholson blowfly equation and the diffusive Mackey–Glass haematopoiesis equation. The resulting criteria for both model equations are amazingly simple and are optimal in some sense (although there is no existing result to compare with for the latter).
Elif Ozturk - One of the best experts on this subject based on the ideXlab platform.
-
the numerical solution of the bitsadze samarskii nonlocal boundary value problems with the dirichlet Neumann Condition
Abstract and Applied Analysis, 2012Co-Authors: Allaberen Ashyralyev, Elif OzturkAbstract:We are interested in studying the stable difference schemes for the numerical solution of the nonlocal boundary value problem with the Dirichlet-Neumann Condition for the multidimensional elliptic equation. The first and second orders of accuracy difference schemes are presented. A procedure of modified Gauss elimination method is used for solving these difference schemes for the two-dimensional elliptic differential equation. The method is illustrated by numerical examples.
Obidio Rubio - One of the best experts on this subject based on the ideXlab platform.
-
Thermally driven cavity flow with Neumann Condition for the pressure
Applied Numerical Mathematics, 2020Co-Authors: Obidio Rubio, Elba Bravo, Julio Cesar Ruiz ClaeyssenAbstract:We develop a velocity-pressure algorithm with a pressure Neumann Condition in primitive variables using finite differences, for a 2D thermally driven square cavity flow with the Boussinesq approximation and a fixed Prandtl number. The pressure field is updated in a one-step weighted form. Simulations were made for several Rayleigh numbers and the results are close to those found in the literature.
-
Rotating incompressible flow with a pressure Neumann Condition
International Journal for Numerical Methods in Fluids, 2020Co-Authors: Julio Cesar Ruiz Claeyssen, Elba Bravo Asenjo, Obidio RubioAbstract:This work considers the internal flow of an incompressible viscous fluid contained in a rectangular duct subject to a rotation. A direct velocity–pressure algorithm in primitive variables with a Neumann Condition for the pressure is employed. The spatial discretization is made with finite central differences on a staggered grid. The pressure and velocity fields are directly updated without any iteration. Numerical simulations with several Reynolds numbers and rotation rates were performed for ducts of aspect ratios 2:1 and 8:1. Copyright © 2005 John Wiley & Sons, Ltd.
-
A convective weakly viscoelastic rotating flow with pressure Neumann Condition
International Journal for Numerical Methods in Fluids, 2009Co-Authors: Julio Cesar Ruiz Claeyssen, Elba Bravo Asenjo, Obidio RubioAbstract:The objective of this work is to investigate through the numeric simulation, the effects of the weakly viscoelastic flow within a rotating rectangular duct subject to a buoyancy force due to the heating of one of the walls of the duct. A direct velocity-pressure algorithm in primitive variables with a Neumann Condition for the pressure is employed. The spatial discretization is made with finite central differences on a staggered grid. The pressure field is directly updated without any iteration. Numerical simulations were done for several Weissemberg numbers (We) and Grashof numbers (Gr). The numerical results show that for high Weissemberg numbers (We>7.4 × 10 -5 ) and for ducts with aspect ratio 2:1 and 8:1, the secondary flow is restabilized with a stretched double vortex configuration. It is also observed that when the Grashof number is increased (Gr>17 × 10 -4 ), the buoyancy force neutralizes the effects of the Coriolis force for ducts with aspect ratio 8:1.