A new L-stable Simpson-type rule for the diffusion equation

DOI10.1080/00207160512331331138zbMath1072.65126OpenAlexW1993130735MaRDI QIDQ5460574

M. M. Chawla, David J. Evans

Publication date: 18 July 2005

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

Full work available at URL: https://doi.org/10.1080/00207160512331331138

zbMATH Keywords

numerical examplesdiffusion equationunconditional stabilityCrank-Nicolson scheme\(L\)-stabilityexplicit backward Euler formulaSimpson rule

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

On a weakly L‐stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic partial differential equations ⋮ \(L\)-stable Simpson's 3/8 rule and Burgers' equation ⋮ \(L\)-stable derivative-free error-corrected trapezoidal rule for Burgers' equation with inconsistent initial and boundary conditions ⋮ Higher order time integration formula with application on Burgers’ equation

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