Locally linearized fractional step methods for nonlinear parabolic problems

DOI10.1016/j.cam.2009.06.014zbMath1189.65211OpenAlexW1972506933MaRDI QIDQ970402

J. C. Jorge, Andrés Arrarás, Laura Portero

Publication date: 17 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.014

zbMATH Keywords

convergencedomain decompositionnumerical experimentsparallel computationmethod of linesfractional step methodmimetic finite difference methodlinearly implicit methodnonlinear time-dependent reaction-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Parallel numerical computation (65Y05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

Canonical Euler splitting method for nonlinear composite stiff evolution equations ⋮ Improved accuracy for time-splitting methods for the numerical solution of parabolic equations ⋮ An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point

Cites Work

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• Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
• Conservative Finite-Difference Methods on General Grids
• A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems
• Approximate factorization for time-dependent partial differential equations

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