Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation

DOI10.1137/110840959zbMath1251.65126OpenAlexW1964804260MaRDI QIDQ2903049

Ya-nan Zhang, Xuan Zhao, Zhi-zhong Sun

Publication date: 23 August 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110840959

zbMATH Keywords

algorithmstabilityconvergencefinite differencealternating direction implicit methodCrank-Nicolson methodCaputo derivativetime-fractional wave equation

Mathematics Subject Classification ID

Wave equation (35L05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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