Adapted BDF algorithms applied to parabolic problems

DOI10.1002/num.20180zbMath1115.65064OpenAlexW2153918036MaRDI QIDQ3428899

Bruce A. Wade, Jesus Vigo Aguiar, Jesús Martín-Vaquero

Publication date: 30 March 2007

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

Full work available at URL: https://doi.org/10.1002/num.20180

zbMATH Keywords

absolute stabilitynumerical examplesBDF methodslinear multistep methodsbackward differentiation formulaeparabolic problemsexponential fitting

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (7)

Exponential fitting BDF algorithms and their properties ⋮ On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition ⋮ A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting ⋮ Smoothing schemes for reaction-diffusion systems with nonsmooth data ⋮ On the numerical solution of the heat conduction equations subject to nonlocal conditions ⋮ A real distinct poles exponential time differencing scheme for reaction-diffusion systems ⋮ Explicit finite difference schemes adapted to advection–reaction equations

Cites Work

• Adapted BDF algorithms: Higher-order methods and their stability
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