Lod generalized trapezoidal formula schemes for parabolic differential equations in two space dimensions

DOI10.1080/00207160108805110zbMath1009.65064OpenAlexW2125813970MaRDI QIDQ4780552

M. A. Al-Zanaidi, M. M. Chawla, David J. Evans

Publication date: 6 February 2003

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

Full work available at URL: https://doi.org/10.1080/00207160108805110

zbMATH Keywords

convection-diffusion equationnumerical experimentsunconditional stabilityCrank-Nicolson schemetwo space dimensionsparabolic differential equationsgeneralized trapezoidal formulasLOD schemeslocally one-dimensional time integration schemesnonlinar reaction-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• On spatial adaptivity and interpolation when using the method of lines
• A class of generalized trapezoidal formulas for the numerical integration of
• Generalized trapezoidal formulas for parabolic equations
• Generalized trapezoidal formulas for convection-diffusion equations
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