An extended trapezoidal formula for the diffusion equation

DOI10.1016/S0898-1221(99)00182-0zbMath0935.65085MaRDI QIDQ1963092

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

Publication date: 20 January 2000

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

zbMATH Keywords

stabilitydiffusion equationextended trapezoidal formula finite difference scheme

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines ⋮ A class of one-step time integration schemes for second-order hyperbolic differential equations ⋮ A parallel method for linear equations with tridiagonal Toeplitz coefficient matrices ⋮ An extended trapezoidal formula for the diffusion equation in two space dimensions ⋮ Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations ⋮ Parallel algorithms for solving tridiagonal and near-circulant systems.

Cites Work

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• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• On spatial adaptivity and interpolation when using the method of lines
• A class of generalized trapezoidal formulas for the numerical integration of
• Extended one-step methods for the numerical solution of ordinary differential equations
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I

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