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Volumn 9, Issue 3, 2012, Pages 658-666

A fast second-order finite difference method for space-fractional diffusion equations

Author keywords

Circulant and Toeplitz matrix; Fast direct solver; Fast finite difference methods; Fractional diffusion equations

Indexed keywords


EID: 84862728868     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (38)

References (13)
  • 1
    • 0000111043 scopus 로고
    • A variant of the Gohberg-Semencul formula involving circulant matrices
    • G. Ammar and P. Gader, A variant of the Gohberg-Semencul formula involving circulant matrices, SIAM Journal on Matrix Analysis and Applications, 12 (1991), 534-540
    • (1991) SIAM Journal On Matrix Analysis and Applications , vol.12 , pp. 534-540
    • Ammar, G.1    Gader, P.2
  • 2
    • 0001667943 scopus 로고
    • The generalized Schur algorithm for the superfast solution of Toeplitz systems, Rational Approximation and its Applications in Mathematics and Physics
    • G.S. Ammar and W.B. Gragg, The generalized Schur algorithm for the superfast solution of Toeplitz systems, Rational Approximation and its Applications in Mathematics and Physics, Lecture Notes in Mathematics, 1237 (1987), 315-330
    • (1987) Lecture Notes In Mathematics , vol.1237 , pp. 315-330
    • Ammar, G.S.1    Gragg, W.B.2
  • 3
    • 0003090115 scopus 로고
    • Super fast solution of real positive de nite Toeplitz systems
    • G.S. Ammar and W.B. Gragg, Super fast solution of real positive de nite Toeplitz systems, SIAM Journal on Matrix Anal. Appl., 9 (1988), 61-76
    • (1988) SIAM Journal On Matrix Anal. Appl , vol.9 , pp. 61-76
    • Ammar, G.S.1    Gragg, W.B.2
  • 4
    • 0034113992 scopus 로고    scopus 로고
    • The fractional-order governingéquation of Lévy motion
    • D. Benson, S.W. Wheatcraft, and M.M. Meerschaert, The fractional-order governingéquation of Lévy motion, Water Resour. Res. 36 (2000), 1413-1423.
    • (2000) Water Resour. Res , vol.36 , pp. 1413-1423
    • Benson, D.1    Wheatcraft, S.W.2    Meerschaert, M.M.3
  • 7
    • 4444368867 scopus 로고    scopus 로고
    • Finite difference approximations for fractional advection dispersion owéquations
    • M.M. Meerschaert and C. Tadjeran, Finite difference approximations for fractional advection dispersion owéquations, J. Comput. Appl. Math., 172 (2004) 65-77.
    • (2004) J. Comput. Appl. Math , vol.172 , pp. 65-77
    • Meerschaert, M.M.1    Tadjeran, C.2
  • 8
    • 28044468843 scopus 로고    scopus 로고
    • Finite difference approximations for two-sided space fractional partial differentialéquations
    • M.M. Meerschaert and C. Tadjeran, Finite difference approximations for two-sided space fractional partial differentialéquations, Appl. Numer. Math., 56 (2006) 80-90.
    • (2006) Appl. Numer. Math , vol.56 , pp. 80-90
    • Meerschaert, M.M.1    Tadjeran, C.2
  • 11
    • 31744438550 scopus 로고    scopus 로고
    • A second-order accurate numerical ap- proximation for the fractional diffusion equation
    • C. Tadjeran, M.M. Meerschaert, and H.P. Schéer, A second-order accurate numerical ap- proximation for the fractional diffusion equation, J. Comput. Phys., 213 (2006) 205-213.
    • (2006) J. Comput. Phys , vol.213 , pp. 205-213
    • Tadjeran, C.1    Meerschaert, M.M.2    Schéer, H.P.3
  • 12
    • 0003943048 scopus 로고    scopus 로고
    • Second Edition, Springer-Verlag, Berlin Heideberg
    • R.S. Varga, Matrix iterative Analysis, Second Edition, Springer-Verlag, Berlin Heideberg, 2000.
    • (2000) Matrix Iterative Analysis
    • Varga, R.S.1
  • 13


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.