New analysis of the Du Fort-Frankel methods

DOI10.1007/S10915-012-9627-2zbMath1254.65096OpenAlexW1999948293MaRDI QIDQ1929948

Neta Corem, Adi Ditkowski

Publication date: 10 January 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-012-9627-2

zbMATH Keywords

finite differenceDu Fort-Frankelfinite difference stabilitygeneralized Du Fort-Frankel

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Dahlquist's barriers and much beyond ⋮ Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations ⋮ High-order structure-preserving Du Fort-Frankel schemes and their analyses for the nonlinear Schrödinger equation with wave operator ⋮ A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations

Cites Work

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• A spectral method for the time evolution in parabolic problems
• The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems
• AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS
• Spectral Methods in Time for Parabolic Problems
• Generalized Du Fort–Frankel Methods for Parabolic Initial-Boundary Value Problems
• The stability of the Du Fort-Frankel method for the diffusion equation with boundary conditions involving space derivatives

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