On exact finite-difference schemes for hyperbolic and elliptic equations

DOI10.1134/S0012266107070130zbMath1176.65095OpenAlexW2051118694MaRDI QIDQ1033617

V. A. Irkhin, Magdalena Lapinska-Chrzczonowicz, S. V. Lemeshevskij, Piotr P. Matus

Publication date: 6 November 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266107070130

zbMATH Keywords

stabilitynonlinear parabolic equationsgrid generationfirst order hyperbolic equationexact finite-difference schemesrunning wave solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) First-order hyperbolic equations (35L02)

Related Items (6)

Monotone schemes of conditional approximation and arbitrary order of accuracy for the transport equation ⋮ Globally stable difference schemes for the Fisher equation ⋮ Difference schemes of arbitrary order of accuracy for semilinear parabolic equations ⋮ Exact difference schemes for a two-dimensional convection-diffusion-reaction equation ⋮ Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I ⋮ Compact difference schemes for the multidimensional Klein-Gordon equation

Cites Work

• Exact Difference Schemes for Time-dependent Problems
• Unnamed Item

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