An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation

DOI10.1007/S10915-015-0003-XzbMath1328.65216arXiv1405.3264OpenAlexW2042502646MaRDI QIDQ897136

Da Xu, Xuehua Yang, Graeme Fairweather, Hai-xiang Zhang

Publication date: 17 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3264

zbMATH Keywords

superconvergencealternating direction implicit methodCaputo derivativeorthogonal spline collocation methodoptimal global convergence estimatestwo-dimensional fractional diffusion-wave equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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