Linearly implicit generalized trapezoidal formulas for nonlinear differential equations

DOI10.1080/00207160008804947zbMath0955.65066OpenAlexW2060652490MaRDI QIDQ4955153

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

Publication date: 5 March 2001

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

Full work available at URL: https://doi.org/10.1080/00207160008804947

zbMATH Keywords

performancestabilitynumerical examplesstiff systemsfinite-difference schemesnonlinear diffusionnonlinear reaction-diffusionviscous Burger's equationlinearly implicit generalized trapezoidal formulasnonlinear transportation-diffusion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Hyperbolic conservation laws (35L65) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

A combining method for solution of nonlinear boundary value problems ⋮ Damping of Crank-Nicolson error oscillations. ⋮ Avoiding spurious modes of time discretized operators in transport problems

Cites Work

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• An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
• Generalized trapezoidal formulas for parabolic equations
• Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution
• Linearly implicit time discretization of non-linear parabolic equations

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