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Volumn 215, Issue 2, 2009, Pages 524-529

A finite difference method for fractional partial differential equation

Author keywords

Convergence; Error estimates; Finite difference method; Partial differential equation; Space time fractional derivative; Stability

Indexed keywords

CONVECTION-DIFFUSION EQUATIONS; CONVERGENCE; DIFFERENCE SCHEMES; ERROR ESTIMATES; EXACT SOLUTION; FINITE DIFFERENCE APPROXIMATIONS; FIRST-ORDER; FRACTIONAL DERIVATIVES; FRACTIONAL ORDER DERIVATIVES; INTEGER ORDER; LINEAR SPACES; NUMERICAL EXAMPLE; ORDER OF CONVERGENCE; SPACE AND TIME; SPACE-TIME FRACTIONAL DERIVATIVE; UNCONDITIONAL STABILITY;

EID: 68949098580     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.05.018     Document Type: Article
Times cited : (200)

References (8)
  • 1
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    • Finite difference approximations for fractional advection-dispersion flow equations
    • Meerschaert M.M., and Tadjeran C. Finite difference approximations for fractional advection-dispersion flow equations. J. Comput. Appl. Math. 172 (2003) 65-77
    • (2003) J. Comput. Appl. Math. , vol.172 , pp. 65-77
    • Meerschaert, M.M.1    Tadjeran, C.2
  • 3
    • 25444463578 scopus 로고    scopus 로고
    • Finite difference method for two dimensional fractional dispersion equation
    • Meerschaert M.M., Scheffler H.P., and Tadjeran C. Finite difference method for two dimensional fractional dispersion equation. J. Comput. Phys. 211 (2006) 249-261
    • (2006) J. Comput. Phys. , vol.211 , pp. 249-261
    • Meerschaert, M.M.1    Scheffler, H.P.2    Tadjeran, C.3
  • 4
    • 17044407067 scopus 로고    scopus 로고
    • Time- and space-fractional partial differential equations
    • Duan J.S. Time- and space-fractional partial differential equations. J. Math. Phys. 46 (2005) 1063-1071
    • (2005) J. Math. Phys. , vol.46 , pp. 1063-1071
    • Duan, J.S.1
  • 5
    • 17144427014 scopus 로고    scopus 로고
    • The accuracy and stability of an implicit solution method for the fractional diffusion equation
    • Langlands T.A.M., and Henry B.I. The accuracy and stability of an implicit solution method for the fractional diffusion equation. J. Comput. Phys. 205 (2005) 719-736
    • (2005) J. Comput. Phys. , vol.205 , pp. 719-736
    • Langlands, T.A.M.1    Henry, B.I.2
  • 6
    • 41349099804 scopus 로고    scopus 로고
    • Stochastic solution of space-time fractional diffusion equations
    • Meerschaert M.M., Benson D.A., Scheffler H.P., and Baeumer B. Stochastic solution of space-time fractional diffusion equations. Phys. Rev. E 65 (2002) 1103-1106
    • (2002) Phys. Rev. E , vol.65 , pp. 1103-1106
    • Meerschaert, M.M.1    Benson, D.A.2    Scheffler, H.P.3    Baeumer, B.4
  • 8
    • 41349086358 scopus 로고    scopus 로고
    • Governing equations and solutions of anomalous random walk limits
    • Meerschaert M.M., Benson D.A., Scheffler H.P., and Kern P.B. Governing equations and solutions of anomalous random walk limits. Phys. Rev. E 66 (2002) 102-105
    • (2002) Phys. Rev. E , vol.66 , pp. 102-105
    • Meerschaert, M.M.1    Benson, D.A.2    Scheffler, H.P.3    Kern, P.B.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.