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Volumn 70, Issue 2, 2005, Pages 110-118

An explicit and numerical solutions of the fractional KdV equation

Author keywords

Decomposition method; Fractional calculus; KdV equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGER PROGRAMMING; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 24144494623     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2005.05.001     Document Type: Article
Times cited : (149)

References (17)
  • 1
    • 84980193643 scopus 로고
    • Korteweg-de Vries equation and generalizations. IV. Method for exact solution
    • C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura Korteweg-de Vries equation and generalizations. IV. Method for exact solution Commun. Pure Appl. Math. XXVII 1974 97 133
    • (1974) Commun. Pure Appl. Math. , vol.27 , pp. 97-133
    • Gardner, C.S.1    Greene, J.M.2    Kruskal, M.D.3    Miura, R.M.4
  • 2
    • 0032071953 scopus 로고    scopus 로고
    • Backland transformation: Exact solutions for the KdV and the Calogera-Degasperis-Fokas mKdV equations
    • A.H. Khater, M.A. Helal, and O.H. El-Kalaawy Backland transformation: exact solutions for the KdV and the Calogera-Degasperis-Fokas mKdV equations Math. Meth. Appl. Sci. 21 1998 713 719
    • (1998) Math. Meth. Appl. Sci. , vol.21 , pp. 713-719
    • Khater, A.H.1    Helal, M.A.2    El-Kalaawy, O.H.3
  • 3
    • 0036645762 scopus 로고    scopus 로고
    • An application for a generalized KdV equation by the decomposition method
    • D. Kaya, and M. Aassila An application for a generalized KdV equation by the decomposition method Phys. Lett. A 299 2002 201 206
    • (2002) Phys. Lett. A , vol.299 , pp. 201-206
    • Kaya, D.1    Aassila, M.2
  • 4
    • 0001250661 scopus 로고    scopus 로고
    • On the solution of a KdV like equation by the decomposition method
    • D. Kaya On the solution of a KdV like equation by the decomposition method Int. J. Comput. Math. 72 1999 531 539
    • (1999) Int. J. Comput. Math. , vol.72 , pp. 531-539
    • Kaya, D.1
  • 5
    • 0038667172 scopus 로고    scopus 로고
    • An efficient numerical method for solving KdV equation by a class of discontinuous functions
    • M. Rasulov, and E. Coskun An efficient numerical method for solving KdV equation by a class of discontinuous functions Appl. Math. Comput. 102 1999 139 154
    • (1999) Appl. Math. Comput. , vol.102 , pp. 139-154
    • Rasulov, M.1    Coskun, E.2
  • 6
    • 48549108442 scopus 로고
    • Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical Korteweg-de Vries equation
    • T.R. Taha, and M.J. Ablowitz Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical Korteweg-de Vries equation J. Comput. Phys. 55 2 1984 231 253
    • (1984) J. Comput. Phys. , vol.55 , Issue.2 , pp. 231-253
    • Taha, T.R.1    Ablowitz, M.J.2
  • 7
    • 0036650559 scopus 로고    scopus 로고
    • Solution for a fractional diffusion-wave equation defined in a bounded domain
    • O.P. Agrawal Solution for a fractional diffusion-wave equation defined in a bounded domain Nonlinear Dynam. 29 2002 145 155
    • (2002) Nonlinear Dynam. , vol.29 , pp. 145-155
    • Agrawal, O.P.1
  • 8
    • 0343526808 scopus 로고    scopus 로고
    • Fractional reaction-diffusion
    • B.I. Henry, and S.L. Wearne Fractional reaction-diffusion Physica A 276 2000 448 455
    • (2000) Physica A , vol.276 , pp. 448-455
    • Henry, B.I.1    Wearne, S.L.2
  • 9
    • 0000146632 scopus 로고
    • Fractal behavior in trapping and reaction: A random walk study
    • J. Klafter, A. Blumen, and M.F. Shlesinger Fractal behavior in trapping and reaction: a random walk study J. Stat. Phys. 36 1984 561 578
    • (1984) J. Stat. Phys. , vol.36 , pp. 561-578
    • Klafter, J.1    Blumen, A.2    Shlesinger, M.F.3
  • 10
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • G. Adomian A review of the decomposition method in applied mathematics J. Math. Anal. Appl. 135 1988 501 544
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 12
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent, Part II
    • M. Caputo Linear models of dissipation whose Q is almost frequency independent, Part II J. Roy. Astr. Soc. 13 1967 529 539
    • (1967) J. Roy. Astr. Soc. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 13
    • 0003548431 scopus 로고    scopus 로고
    • The initial value problem for some fractional differential equations with the Caputo derivative, preprint series A08-98
    • Freic Universitat Berlin
    • A.Y.. Luchko, and R. Groreflo The initial value problem for some fractional differential equations with the Caputo derivative, preprint series A08-98 Fachbreich Mathematik und Informatik 1998 Freic Universitat Berlin
    • (1998) Fachbreich Mathematik und Informatik
    • Luchko, A.Y.1    Groreflo, R.2
  • 14
    • 0001983732 scopus 로고    scopus 로고
    • Fractional calculus: 'Some basic problems in continuum and statistical mechanics'
    • A. Carpinteri F. Mainardi Springer-Verlag New York
    • F. Mainardi Fractional calculus: 'some basic problems in continuum and statistical mechanics' A. Carpinteri F. Mainardi Fractals and Fractional Calculus in Continuum Mechanics 1997 Springer-Verlag New York 291 348
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 291-348
    • Mainardi, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.