Fractional runge-kutta methods with application to convection-diffusion equations

DOI10.1016/0899-8248(92)90001-OzbMath0763.65088OpenAlexW2085339475MaRDI QIDQ4022660

P. J. van der Houwen, B. P. Sommeijer

Publication date: 17 January 1993

Published in: IMPACT of Computing in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0899-8248(92)90001-o

zbMATH Keywords

stabilityBurgers equationparallel computationmethod of linesnonlinear convection-diffusion equationsemidiscretizationfractional step methodsRunge-Kutta methodsoperator splitting methodssystems of first-order differential equationsimplicit backward Euler method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for boundary value problems involving PDEs (65N40)

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Time integration of three-dimensional numerical transport models

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