2 citations · 4 across the 6 of their papers we have counts for
6 papers
Conservative Three-Layer Schemes for Kirchhoff-Type Equations
Felix Krumbiegel, Jemal Rogava, Andreas Rupp +1
We study a Kirchhoff-type nonlinear integro-differential equation in two spatial dimensions whose coefficients are allowed to depend on time, and we construct conservative discreti…
On the Approximation of the Unitary Operator Group Associated with a Rotation Matrix and Its Applications to Abstract Hyperbolic Equations
Jemal Rogava, Zurab Vashakidze
The solution of the Cauchy problem for homogeneous abstract hyperbolic equations, together with its derivative, admits a vector representation in terms of a unitary operator group…
On the Numerical Treatment of an Abstract Nonlinear System of Coupled Hyperbolic Equations Associated with the Timoshenko Model
Jemal Rogava, Zurab Vashakidze
The present work addresses the Cauchy problem for an abstract nonlinear system of coupled hyperbolic equations associated with the Timoshenko model in a real Hilbert space. Our pur…
Propagation of Waves from Finite Sources Arranged in Line Segments within an Infinite Triangular Lattice
David Kapanadze, Zurab Vashakidze
This paper examines the propagation of time-harmonic waves in a two-dimensional triangular lattice with a lattice constant . The sources are positioned along line segments w…
On Convergence of a Three-Layer Semi-Discrete Scheme for the Nonlinear Dynamic String Equation of Kirchhoff-Type with Time-Dependent Coefficients
Jemal Rogava, Zurab Vashakidze
This paper considers the Cauchy problem for the nonlinear dynamic string equation of Kirchhoff-type with time-varying coefficients. The objective of this work is to develop a time…
On Stability and Convergence of a Three-layer Semi-discrete Scheme for an Abstract Analogue of the Ball Integro-differential Equation
Jemal Rogava, Mikheil Tsiklauri, Zurab Vashakidze
We consider the Cauchy problem for a second-order nonlinear evolution equation in a Hilbert space. This equation represents the abstract generalization of the Ball integro-differen…