Variable step-size fractional step Runge-Kutta methods for time-dependent partial differential equations

DOI10.1016/j.apnum.2012.06.015zbMath1251.65135OpenAlexW2047842550MaRDI QIDQ450910

J. C. Jorge, Laura Portero, Andrés Arrarás

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.015

zbMATH Keywords

domain decompositionnumerical experimentserror boundssemidiscretizationalternating direction implicit methodparabolic problemvariable step-sizefractional step Runge-Kutta method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

On stability and convergence of semi-Lagrangian methods for the first-order time-dependent nonlinear partial differential equations in 1D ⋮ Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ New explicit and accelerated techniques for solving fractional order differential equations

Uses Software

• RODAS

Cites Work

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