A high order implicit algorithm for solving instationary non-linear problems

DOI10.1007/s00466-002-0301-7zbMath1006.65089OpenAlexW2057398967MaRDI QIDQ1849509

S. Boutmir, Michel Potier-Ferry, Noureddine Damil, Bouazza Braikat, Mohammad Jamal

Publication date: 1 December 2002

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-002-0301-7

zbMATH Keywords

convergencefinite difference methodnonlinear oscillationsKorteweg-de Vries equationperturbation techniquetime discretizationimplicitspace discretizationelastic pendulumhomotopy transformation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elasticity (74B20) 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) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (6)

On higher-order differentiation in nonlinear mechanics ⋮ Results on existence for generalized \(nD\) Navier-Stokes equations ⋮ Nonlinear dynamic response of functionally graded material plates using a high‐order implicit algorithm ⋮ A dimensionless numerical mesh-free model for the compressible fluid flows ⋮ Mathematical and numerical connections between polynomial extrapolation and Padé approximants: applications in structural mechanics ⋮ Numerical comparisons of high-order nonlinear solvers for the transient Navier-Stokes equations based on homotopy and perturbation techniques

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