Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
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Publication:3103509
DOI10.1137/100800634zbMath1229.35315OpenAlexW2034839545MaRDI QIDQ3103509
Ian W. Turner, Qianqian Yang, Fawang Liu, Miloš Ilić
Publication date: 7 December 2011
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://eprints.qut.edu.au/40662/1/c40662.pdf
finite element methodfinite difference methodLanczos methodfractional calculusfractional LaplacianCaputo fractional derivativematrix functionmatrix transfer technique\(\mathbf {M}\)-Lanczos method
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11) Numerical computation of matrix exponential and similar matrix functions (65F60)
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