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Volumn , Issue , 2008, Pages 1-10

The foam drainage equation with time- and space-fractional derivatives solved by the adomian method

Author keywords

Adomian method; Caputo Fractional derivative; Evolution Equations; Foam Drainage Equation

Indexed keywords


EID: 85088178382     PISSN: None     EISSN: 14173875     Source Type: Journal    
DOI: 10.14232/ejqtde.2008.1.30     Document Type: Article
Times cited : (34)

References (34)
  • 1
    • 43949159125 scopus 로고
    • Convergence of Adomian's method applied to differnetial equations
    • K. ABBAOUI, Y. CHERRUAULT, Convergence of Adomian's method applied to differnetial equations, Comput. Math. Appl. 28(5) (1994) 103-109.
    • (1994) Comput. Math. Appl , vol.28 , Issue.5 , pp. 103-109
    • ABBAOUI, K.1    CHERRUAULT, Y.2
  • 2
    • 0000487641 scopus 로고
    • New ideas for proving convergence of decomposition method
    • K. ABBAOUI, Y. CHERRUAULT, New ideas for proving convergence of decomposition method , Comput. Math. Appl. 29 (1995) 103-108.
    • (1995) Comput. Math. Appl , vol.29 , pp. 103-108
    • ABBAOUI, K.1    CHERRUAULT, Y.2
  • 6
    • 17444410333 scopus 로고    scopus 로고
    • Numerical implementation of Adomian decomposition method for linear Volterra integral equation of the second kind
    • E. BABOBLIAN, A. DAVARI, Numerical implementation of Adomian decomposition method for linear Volterra integral equation of the second kind, Appl. Math. Comput. 165 (2005) 223-227.
    • (2005) Appl. Math. Comput , vol.165 , pp. 223-227
    • BABOBLIAN, E.1    DAVARI, A.2
  • 7
    • 33744529597 scopus 로고    scopus 로고
    • Weierstrass semi rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system
    • Y. CHEN, Y.Z. YAN, Weierstrass semi rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system, Appl. Math. Comput. 177 (2006) 85-91.
    • (2006) Appl. Math. Comput , vol.177 , pp. 85-91
    • CHEN, Y.1    YAN, Y.Z.2
  • 8
    • 84970868898 scopus 로고
    • Convergence of Adomian's method
    • Y. CHERRUAULT, Convergence of Adomian's method, Kybernetes 18 (1989) 31-38.
    • (1989) Kybernetes , vol.18 , pp. 31-38
    • CHERRUAULT, Y.1
  • 9
    • 10344238128 scopus 로고    scopus 로고
    • Adomian decomposition: A tool for solving a system of fractional differential equations
    • V. DAFTARDAR-GEJJI, H. JAFARI, Adomian decomposition: a tool for solving a system of fractional differential equations, J. Math. Anal. Appl. 301 (2005) 508-518.
    • (2005) J. Math. Anal. Appl , vol.301 , pp. 508-518
    • DAFTARDAR-GEJJI, V.1    JAFARI, H.2
  • 10
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh function method and its applications to nonlinear equations
    • E. FAN , Extended tanh function method and its applications to nonlinear equations, Phys. Lett. A277 (2000), 212-218.
    • (2000) Phys. Lett , vol.A277 , pp. 212-218
    • FAN, E.1
  • 11
    • 0347763940 scopus 로고    scopus 로고
    • Some applications of nonlinear fractional differential equations and their approximations
    • J.H. HE, Some applications of nonlinear fractional differential equations and their approximations , Bull. Sci. Techno. 15(2) (1999) 86-90.
    • (1999) Bull. Sci. Techno , vol.15 , Issue.2 , pp. 86-90
    • HE, J.H.1
  • 12
    • 34249820797 scopus 로고    scopus 로고
    • The tanh method and Adomian decomposition method for solving the foam drainage equation
    • M.A. HELAL, M.S. MEHANNA, The tanh method and Adomian decomposition method for solving the foam drainage equation, Appl. Math. Comput. 190 (2007) 599-609.
    • (2007) Appl. Math. Comput , vol.190 , pp. 599-609
    • HELAL, M.A.1    MEHANNA, M.S.2
  • 13
    • 0035858464 scopus 로고    scopus 로고
    • Dynamics of coarsening foams: Accelerated and self-limiting drainage
    • S. HILGENFELDT, S.A. KOEHLER, H.A. STONE, Dynamics of coarsening foams: accelerated and self-limiting drainage, Phys. Rev. Lett. 20 (2001) 4704-7407.
    • (2001) Phys. Rev. Lett , vol.20 , pp. 4704-7407
    • HILGENFELDT, S.1    KOEHLER, S.A.2    STONE, H.A.3
  • 14
    • 0033240054 scopus 로고    scopus 로고
    • New results of convergence of Adomian's method
    • N. HIMOUN, K. ABBAOUI, Y. CHERRUAULT, New results of convergence of Adomian's method , Kybernetes 28(4-5) (1999) 423-429.
    • (1999) Kybernetes , vol.28 , Issue.4-5 , pp. 423-429
    • HIMOUN, N.1    ABBAOUI, K.2    CHERRUAULT, Y.3
  • 15
    • 33746218471 scopus 로고    scopus 로고
    • Solving a system of nonlinear fractional differential equations using Adomian decomposition
    • H. JAFARI, V. DAFTARDAR-GEJJI, Solving a system of nonlinear fractional differential equations using Adomian decomposition, J. Comput. Appl. Math. 196 (2006) 644-651.
    • (2006) J. Comput. Appl. Math , vol.196 , pp. 644-651
    • JAFARI, H.1    DAFTARDAR-GEJJI, V.2
  • 16
    • 31144467200 scopus 로고    scopus 로고
    • A numerical implementation of the decomplosition method for the Lienard equation
    • D. KAYA, S.M. EL SAYAD , A numerical implementation of the decomplosition method for the Lienard equation, Appl. Math. Comput. 171 (2005) 1095-1103.
    • (2005) Appl. Math. Comput , vol.171 , pp. 1095-1103
    • KAYA, D.1    EL SAYAD, S.M.2
  • 17
    • 0009816648 scopus 로고    scopus 로고
    • Global and causal solutions of fractional differential equations in : Transform Method and Special Functions
    • Singapore
    • S. KEMPLE, H. BEYER, Global and causal solutions of fractional differential equations in : Transform Method and Special Functions , Varna96, Proceding of the 2nd International Workshop (SCTP), Singapore, 1997.
    • (1997) Varna96, Proceding of the 2nd International Workshop (SCTP)
    • KEMPLE, S.1    BEYER, H.2
  • 18
    • 84942507648 scopus 로고
    • A study of interstial liquid flow in foam
    • R.A. LEONARD, R. LEMLICH, A study of interstial liquid flow in foam, A.I.Ch.E.J. 11 (1965) 18-25.
    • (1965) A.I.Ch.E.J , vol.11 , pp. 18-25
    • LEONARD, R.A.1    LEMLICH, R.2
  • 19
    • 54349091658 scopus 로고    scopus 로고
    • The initial value problem for some fractional differential equations with the Caputo derivaitve
    • Y. LUCHKO, R. GORENFLO, The initial value problem for some fractional differential equations with the Caputo derivaitve, Preprint Series A 08-98,
    • Preprint Series A 08-98
    • LUCHKO, Y.1    GORENFLO, R.2
  • 20
    • 0029288243 scopus 로고
    • The exact solutions of certain differential equations of fractional order by using operational calculus
    • Y. LUCHKO, H.M. SRIVASTAVA, The exact solutions of certain differential equations of fractional order by using operational calculus, Comput. Math. Appl. 29 (1995) 73-85.
    • (1995) Comput. Math. Appl , vol.29 , pp. 73-85
    • LUCHKO, Y.1    SRIVASTAVA, H.M.2
  • 25
    • 33751513961 scopus 로고    scopus 로고
    • Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
    • Q. WANG, Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method, Appl. Math. Comput. 182 (2006) 1049-1055.
    • (2006) Appl. Math. Comput , vol.182 , pp. 1049-1055
    • WANG, Q.1
  • 26
    • 0000945028 scopus 로고
    • A new approch to the nonlinear advection problem
    • A.M. WAZWAZ, A new approch to the nonlinear advection problem, Appl. Math. Comput. 72 (1995) 175-181.
    • (1995) Appl. Math. Comput , vol.72 , pp. 175-181
    • WAZWAZ, A.M.1
  • 27
    • 0040313517 scopus 로고    scopus 로고
    • A reliable modification of Adomian decomposition method
    • A.M. WAZWAZ , A reliable modification of Adomian decomposition method, Appl. Math. Comput. 102 (1999) 77-86.
    • (1999) Appl. Math. Comput , vol.102 , pp. 77-86
    • WAZWAZ, A.M.1
  • 28
    • 0347450513 scopus 로고    scopus 로고
    • A new algorithm for calculating Adomian polynomials for nonlinear operators
    • A.M. WAZWAZ, A new algorithm for calculating Adomian polynomials for nonlinear operators, Appl. Math. Comput. 111 (2000) 53-69.
    • (2000) Appl. Math. Comput , vol.111 , pp. 53-69
    • WAZWAZ, A.M.1
  • 29
    • 0035949881 scopus 로고    scopus 로고
    • A computational approach to solitons of the Kadomtsev-Petviashvili equation
    • A.M. WAZWAZ , A computational approach to solitons of the Kadomtsev-Petviashvili equation , Appl. Math. Comput. 123 (2001) 205-217.
    • (2001) Appl. Math. Comput , vol.123 , pp. 205-217
    • WAZWAZ, A.M.1
  • 31
    • 3042836089 scopus 로고    scopus 로고
    • An analytic study of Fisher's equations by using Adomian decomposition method
    • A.M. WAZWAZ, A. GEORGUIS, An analytic study of Fisher's equations by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609-620.
    • (2004) Appl. Math. Comput , vol.154 , pp. 609-620
    • WAZWAZ, A.M.1    GEORGUIS, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.