On the Second Order of Accuracy Difference Scheme for Hyperbolic Equations in a Hilbert Space

DOI10.1080/01630560500431068zbMath1098.65055OpenAlexW1964675273MaRDI QIDQ3377959

Allaberen Ashyralyev, Mehmet Emir Koksal

Publication date: 29 March 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560500431068

zbMATH Keywords

stabilityHilbert spaceabstract hyperbolic equationabstract initial value problemFinite difference approximation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Abstract hyperbolic equations (35L90)

Related Items (13)

Soliton solutions to the time-dependent coupled KdV-Burgers' equation ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator ⋮ A note on the fractional hyperbolic differential and difference equations ⋮ The stability of difference schemes of second-order of accuracy for hyperbolic-parabolic equations ⋮ An operator-difference scheme for abstract Cauchy problems ⋮ A Note on the Stability of the Integral-Differential Equation of the Hyperbolic Type in a Hilbert Space ⋮ An operator-difference method for telegraph equations arising in transmission lines ⋮ Asymptotic periodicity for hyperbolic evolution equations and applications ⋮ Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space ⋮ Finite difference and iteration methods for fractional hyperbolic partial differential equations with the Neumann condition ⋮ On the numerical solution of fractional hyperbolic partial differential equations ⋮ Difference schemes for the semilinear integral-differential equation of the hyperbolic type

Cites Work

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• A note on the difference schemes for hyperbolic equations
• New difference schemes for partial differential equations.
• Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations
• A Note on the Difference Schemes of the Nonlocal Boundary Value Problems for Hyperbolic Equations

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