Single cell discretization ofO(kh2 +h4) for the estimates of for the two-space dimensional quasi-linear parabolic equation

DOI10.1002/num.4zbMath0981.65100OpenAlexW2160238255WikidataQ115397095 ScholiaQ115397095MaRDI QIDQ2725055

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Publication date: 16 September 2001

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

Full work available at URL: https://doi.org/10.1002/num.4

zbMATH Keywords

error boundsquasi-linear parabolic equationexplicit difference methods

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)

Related Items (2)

A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations ⋮ A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations

Cites Work

• Unnamed Item
• Single cell discretizations of order two and four for biharmonic problems
• High order difference methods for heat equation in polar cylindrical coordinates
• High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients
• High-order methods for elliptic equations with variable coefficients
• Fourth-order finite difference method for 2D parabolic partial differential equations with nonlinear first-derivative terms
• Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations

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