Book ChapterDOI
High Order Accurate Difference Schemes for Hyperbolic IBVP
Allaberen Ashyralyev,Ozgur Yildirim +1 more
- pp 174-181
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TLDR
The third and fourth orders of accuracy difference schemes for the approximate solution of the initial-boundary value problem for multidimensional hyperbolic equation with Dirichlet condition are presented and stability estimates for the solutions of these difference schemes are obtained.Abstract:
In the present paper the initial-boundary value problem for multidimensional hyperbolic equation with Dirichlet condition is considered. The third and fourth orders of accuracy difference schemes for the approximate solution of this problem are presented and the stability estimates for the solutions of these difference schemes are obtained. Some results of numerical experiments are presented in order to support theoretical statements.read more
Citations
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Acoustic and electromagnetic waves
TL;DR: The representation of acoustic and electromagnetic fields the special theory of relativity radiation resonators the theory of waveguides refraction surface waves scattering by smooth objects diffraction by edges transient waves as discussed by the authors.
Journal ArticleDOI
On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
TL;DR: In this paper, the abstract Cauchy problem for the hyperbolic equation in a Hilbert space H with self-adjoint positive definite operator A is considered and the third and fourth orders of accuracy difference schemes for the approximate solution of this problem are presented.
Journal ArticleDOI
On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems
Ozgur Yildirim,Meltem Uzun +1 more
TL;DR: Third and fourth order of accuracy stable difference schemes for the approximate solutions of hyperbolic multipoint nonlocal boundary value problem in a Hilbert space H with self-adjoint positive definite operator A are considered.
Journal ArticleDOI
Second Order Equations in Functional Spaces: Qualitative and Discrete Well-Posedness
TL;DR: In this paper, a survey of local and non-local well-posed problems for second-order differential and difference equations is presented, and results on the stability of differential problems and of difference schemes for approximate solution of the second order problems are presented.
Journal ArticleDOI
Difference schemes for the semilinear integral-differential equation of the hyperbolic type
Zilal Direk,Maksat Ashyraliyev +1 more
TL;DR: In this paper, the authors considered the initial value problem for integral-differential equation of the hyperbolic type in a Hilbert space H and established the unique solvability of this problem.
References
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Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Waves in fluids
TL;DR: One-dimensional waves in fluids as discussed by the authors were used to describe sound waves and water waves in the literature, as well as the internal wave and the water wave in fluids, and they can be classified into three classes: sound wave, water wave, and internal wave.
BookDOI
Time Dependent Problems and Difference Methods
TL;DR: Time-Dependent Problems and Difference Methods, Second Edition as discussed by the authors provides guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems, and provides a more useful analysis of numerical methods.
Related Papers (5)
On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem
Ozgur Yildirim,Meltem Uzun +1 more