On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes

DOI10.1186/1687-2770-2013-29zbMath1283.65068OpenAlexW2148900875WikidataQ59294130 ScholiaQ59294130MaRDI QIDQ2436188

Ozgur Yildirim, Allaberen Ashyralyev

Publication date: 21 February 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-29

zbMATH Keywords

stabilityfinite difference methodCauchy problemHilbert spacenumerical experimentinitial boundary value problemabstract hyperbolic equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Linear differential equations in abstract spaces (34G10) Abstract hyperbolic equations (35L90) Finite difference and finite volume methods for ordinary differential equations (65L12)

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FDM for the integral-differential equation of the hyperbolic type ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Eventually periodic solutions of single neuron model ⋮ On third order stable difference scheme for hyperbolic multipoint nonlocal boundary value problem ⋮ On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator ⋮ A Unified Numerical Method for Solving System of Nonlinear Wave Equations ⋮ Difference schemes for the semilinear integral-differential equation of the hyperbolic type

Cites Work

• A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator
• A note on the difference schemes for hyperbolic equations
• Difference schemes for hyperbolic equations with high order of accuracy

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