Stability improvement of the Euler forward method for initial value problems

DOI10.1002/NUM.1690040405zbMath0671.65057OpenAlexW2015938029MaRDI QIDQ3823743

Jerzy Kujawski

Publication date: 1988

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690040405

zbMATH Keywords

stabilitycomparison of methodssystembackward Euler methodmethodCrank-Nicolsonsemidiscretizationsrational Runge-Kutta methodexplicit linear two-step schemesone- dimensional nonstationary heat transfer equation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for boundary value problems involving PDEs (65N40)

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