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Volumn 23, Issue 4, 2013, Pages 634-648

Analysis of a local discontinuous Galerkin method for time-fractional advection-diffusion equations

Author keywords

Differential equations; Error estimates; Galerkin method; Local discontinuous Galerkin method; Stability; Time fractional partial differential equations

Indexed keywords

ADVECTION-DIFFUSION EQUATION; DESIGN/METHODOLOGY/APPROACH; DISCONTINUOUS GALERKIN METHODS; ERROR ESTIMATES; FINITE DIFFERENCE SCHEME; LOCAL DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS; LOCAL DISCONTINUOUS GALERKIN METHOD; ORDINARY DIFFERENTIAL EQUATION (ODE) SOLVERS;

EID: 84878661122     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615531311323782     Document Type: Article
Times cited : (38)

References (13)
  • 1
    • 40849115179 scopus 로고    scopus 로고
    • Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
    • Chen, C., Lui, F. and Burrage, K. (2008), "Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation", Applied Mathematics and Computation, Vol. 198, p. 754.
    • (2008) Applied Mathematics and Computation , vol.198 , pp. 754
    • Chen, C.1    Lui, F.2    Burrage, K.3
  • 2
    • 0035734429 scopus 로고    scopus 로고
    • Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
    • Cockburn, B., Kanschat, G., Perugia, I. and Schotzau, D. (2001), "Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids", SIAM Journal on Numerical Analysis, Vol. 39, p. 264.
    • (2001) SIAM Journal on Numerical Analysis , vol.39 , pp. 264
    • Cockburn, B.1    Kanschat, G.2    Perugia, I.3    Schotzau, D.4
  • 3
    • 0012899160 scopus 로고    scopus 로고
    • Numerical solution of the Bagley-Torvik equation
    • Diethelm, K. and Ford, N.J. (2002), "Numerical solution of the Bagley-Torvik equation", BIT Numerical Mathematics, Vol. 42, p. 490.
    • (2002) BIT Numerical Mathematics , vol.42 , pp. 490
    • Diethelm, K.1    Ford, N.J.2
  • 4
    • 14644446063 scopus 로고    scopus 로고
    • Least squares finite element solution of a fractional order two-point boundary value problem
    • Fix, G.J. and Roop, J.P. (2004), "Least squares finite element solution of a fractional order two-point boundary value problem", Computers & Mathematics with Applications, Vol. 48, p. 1017.
    • (2004) Computers & Mathematics with Applications , vol.48 , pp. 1017
    • Fix, G.J.1    Roop, J.P.2
  • 5
    • 79953248728 scopus 로고    scopus 로고
    • High-order finite element methods for time-fractional partial differential equations
    • Jiang, Y. and Ma, J. (2011), "High-order finite element methods for time-fractional partial differential equations", Journal of Computational and Applied Mathematics, Vol. 235, p. 3285.
    • (2011) Journal of Computational and Applied Mathematics , vol.235 , pp. 3285
    • Jiang, Y.1    Ma, J.2
  • 6
    • 34547548712 scopus 로고    scopus 로고
    • Finite difference/spectral approximations for the time-fractional diffusion equation
    • Lin, Y. and Xu, C. (2007), "Finite difference/spectral approximations for the time-fractional diffusion equation", Journal of Computational Physics, Vol. 225, p. 1533.
    • (2007) Journal of Computational Physics , vol.225 , pp. 1533
    • Lin, Y.1    Xu, C.2
  • 7
    • 34547673244 scopus 로고    scopus 로고
    • Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
    • Liu, F., Zhuang, P., Anh, V., Turner, I. and Burrage, K. (2007), "Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation", Applied Mathematics and Computation, Vol. 191, p. 12.
    • (2007) Applied Mathematics and Computation , vol.191 , pp. 12
    • Liu, F.1    Zhuang, P.2    Anh, V.3    Turner, I.4    Burrage, K.5
  • 8
    • 0001983732 scopus 로고    scopus 로고
    • Some basic problems in continuum and statistical mechanics
    • Carpinteri, A. and Mainardi, F. (Eds), Springer, Wien
    • Mainardi, F. (1997), "Some basic problems in continuum and statistical mechanics", in Carpinteri, A. and Mainardi, F. (Eds), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Wien.
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics
    • Mainardi, F.1
  • 9
    • 24144494623 scopus 로고    scopus 로고
    • An explicit and numerical solutions of the fractional KdV equation
    • Momani, S. (2005), "An explicit and numerical solutions of the fractional KdV equation", Mathematics and Computers in Simulation, Vol. 70, p. 110.
    • (2005) Mathematics and Computers in Simulation , vol.70 , pp. 110
    • Momani, S.1
  • 10
    • 46049119633 scopus 로고    scopus 로고
    • Implicite finite difference approximation for time fractional diffusion equations
    • Murio, D.A. (2008), "Implicite finite difference approximation for time fractional diffusion equations", Computers & Mathematics with Applications, Vol. 56, p. 1138.
    • (2008) Computers & Mathematics with Applications , vol.56 , pp. 1138
    • Murio, D.A.1
  • 11
    • 70350564868 scopus 로고    scopus 로고
    • The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics
    • Odibat, Z. and Momani, S. (2009), "The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics", Computers & Mathematics with Applications, Vol. 58, p. 2199.
    • (2009) Computers & Mathematics with Applications , vol.58 , pp. 2199
    • Odibat, Z.1    Momani, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.