High Accuracy Difference Formulae For A Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem Of First Kind

DOI10.1080/0020716022000005528zbMath1026.65069OpenAlexW2087483476MaRDI QIDQ4709857

Dinesh Kumar, Ranjan Kumar Mohanty, David J. Evans

Publication date: 2003

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716022000005528

zbMATH Keywords

numerical exampleserror boundsRMS errorssingular equationimplicit finite difference methodsfourth-order quasi-linear parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• A difference scheme with high accuracy in time for fourth-order parabolic equations
• A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind
• A note on solving the fourth order parabolic equation by the age method
• 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