A difference scheme with high accuracy in time for fourth-order parabolic equations

DOI10.1016/0045-7825(83)90054-3zbMath0509.65044OpenAlexW2066876664MaRDI QIDQ1838273

E. H. Twizell, Abdul Q. M. Khaliq

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90054-3

zbMATH Keywords

fourth ordermodel problemstransverse vibrations of a uniform flexible beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for higher-order parabolic equations (35K35) Vibrations in dynamical problems in solid mechanics (74H45) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

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A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations ⋮ PARALLEL ALGORITHMS FOR FOURTH-ORDER PARABOLIC EQUATIONS ⋮ Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation ⋮ A family of second order methods for variable coefficient fourth order parabolic partial differential equations ⋮ High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations ⋮ A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation ⋮ Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations ⋮ A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations ⋮ Sextic spline solution of variable coefficient fourth-order parabolic equations ⋮ Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions ⋮ High Accuracy Difference Formulae For A Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem Of First Kind ⋮ A predictor-corrector scheme for fourth order parabolic partial differential equations ⋮ High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations ⋮ A difference scheme with high accuracy in time for fourth-order parabolic equations

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