Construction and Investigation of a Fourth Order of Accuracy Decomposition Scheme for Nonhomogeneous Multidimensional Hyperbolic Equation

DOI10.1080/01630563.2013.812423zbMath1288.65136OpenAlexW1984971387MaRDI QIDQ5409738

Nana Dikhaminjia, Jemal L. Rogava, Mikheil Tsiklauri

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/01630563.2013.812423

zbMATH Keywords

stabilitynumerical exampleserror estimaterational approximationabstract hyperbolic equationdecomposition schemeoperator splitmultidimensional hyperbolic equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Abstract hyperbolic equations (35L90)

Related Items (1)

A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation

Cites Work

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• Splitting methods with complex times for parabolic equations
• An approximation theorem for second-order evolution equations
• Higher order alternate directions methods
• High degree precision decomposition method for the evolution problem with an operator under a split form
• The fourth order accuracy decomposition scheme for an evolution problem

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