Avoiding the order reduction when solving second-order in time PDEs with fractional step Runge-Kutta-Nyström methods
DOI10.1016/j.camwa.2016.02.015zbMath1443.65173OpenAlexW2289694801MaRDI QIDQ2006415
B. Bujanda, J. C. Jorge, M. J. Moreta
Publication date: 9 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.02.015
stabilityconsistencyorder reductionsecond-order partial differential equationsfractional step Runge-Kutta-Nyström methods
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)
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