Author: "Akat, Muzaffer" / Topic: convergence estimates - Searchworks@Jio Institute Digital Library Search Results

Your search keyword '"Akat, Muzaffer"' showing total 4 results

Start Over Author "Akat, Muzaffer" Topic convergence estimates

Author: Ashyralyev, Allaberen and Akat, Muzaffer
Subjects: *NUMERICAL solutions to hyperbolic differential equations, *APPROXIMATION theory, *STOCHASTIC convergence, *CAUCHY problem, *FINITE difference method
Abstract: In the present paper the two step difference scheme for the Cauchy problem for the stochastic hyperbolic equation is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of difference schemes for the numerical solution of two problems for hyperbolic equations are obtained. The theoretical statements for the solution of this difference schemes are supported by the results of numerical experiments. [ABSTRACT FROM AUTHOR]
Published: 2011
Full Text: View/download PDF

Author: Ashyralyev, Allaberen and Akat, Muzaffer
Abstract: In the present paper, the two-step difference scheme for the Cauchy problem for the stochastic hyperbolic equation is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of difference schemes for the numerical solution of four problems for hyperbolic equations are obtained. The theoretical statements for the solution of this difference scheme are supported by the results of the numerical experiment. Copyright © 2012 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Published: 2013
Full Text: View/download PDF

Author: Allaberen Ashyralyev, Muzaffer Akat, Özyeğin University, Akat, Muzaffer, and Male
Subjects: Difference schemes, General Mathematics, Mathematical analysis, Hyperbolic function, MathematicsofComputing_NUMERICALANALYSIS, General Engineering, Stochastic hyperbolic equation, symbols.namesake, Stochastic differential equation, Wiener process, Scheme (mathematics), ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Convergence (routing), symbols, Initial value problem, Hyperbolic partial differential equation, Convergence estimates, Mathematics
Abstract: Due to copyright restrictions, the access to the full text of this article is only available via subscription. In the present paper, the two-step difference scheme for the Cauchy problem for the stochastic hyperbolic equation is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of difference schemes for the numerical solution of four problems for hyperbolic equations are obtained. The theoretical statements for the solution of this difference scheme are supported by the results of the numerical experiment.
Published: 2013

Author: Allaberen Ashyralyev, Muzaffer Akat, Özyeğin University, Akat, Muzaffer, and Male
Subjects: Difference schemes, Mathematical analysis, Finite difference method, Finite difference, Order of accuracy, Telegraph equation, Telegrapher's equations, Stochastic hyperbolic equation, Ordinary differential equation, Convergence (routing), Boundary value problem, Hyperbolic partial differential equation, Mathematics, Convergence estimates
Abstract: Due to copyright restrictions, the access to full text of this article is only available via subscription In the present paper the two-step difference scheme for the telegraph equation is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of difference scheme for the numerical solution of two problems for hyperbolic equations are obtained. The theoretical statements for the solution of this difference scheme are supported by the results of the numerical experiment.
Published: 2012

Books, media, physical & digital resources

Searchworks