A predictor-corrector scheme for fourth order parabolic partial differential equations

DOI10.1016/0898-1221(89)90055-2zbMath0688.65059OpenAlexW1994487476MaRDI QIDQ1263949

Abdul Q. M. Khaliq

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90055-2

zbMATH Keywords

numerical examplepredictor-corrector methodEuler-Bernoulli beamtransverse vibrationsfourth order parabolic partial differential equations

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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions

Cites Work

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• Splitting methods for fourth order parabolic partial differential equations
• A difference scheme with high accuracy in time for fourth-order parabolic equations
• Zum Differenzenverfahren bei parabolischen Differentialgleichungen
• A family of second order methods for variable coefficient fourth order parabolic partial differential equations
• Higher order difference formulas for a fourth order parabolic partial differential equation
• A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation
• Some Stable Difference Approximations to a Fourth-Order Parabolic Partial Differential Equation
• Zur Stabilität des Differenzenverfahrens bei der Stabschwingungsgleichung .

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