An extended trapezoidal formula for the diffusion equation in two space dimensions

DOI10.1016/S0898-1221(01)00140-7zbMath0983.65097OpenAlexW2070331894MaRDI QIDQ5948828

M. M. Chawla, M. A. Al-Zanaidi

Publication date: 12 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00140-7

zbMATH Keywords

convection-diffusion equationnumerical experimentsdiffusion equationunconditional stabilityCrank-Nicolson schemenonlinear reaction-diffusion equationsextended trapezoidal formulatwo space dimensions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Heat equation (35K05) 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)

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Cites Work

• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• On spatial adaptivity and interpolation when using the method of lines
• An extended trapezoidal formula for the diffusion equation
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