메뉴 건너뛰기




Volumn 2014, Issue , 2014, Pages

A new coupled fractional reduced differential transform method for the numerical solutions of (2 + 1)-dimensional time fractional coupled burger equations

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS;

EID: 84901942594     PISSN: 16875591     EISSN: 16875605     Source Type: Journal    
DOI: 10.1155/2014/960241     Document Type: Article
Times cited : (16)

References (16)
  • 1
    • 0003797958 scopus 로고    scopus 로고
    • New York, NY, USA Academic Press Mathematics in Science and Engineering
    • Podlubny I., Fractional Differential Equations 1999 198 New York, NY, USA Academic Press Mathematics in Science and Engineering
    • (1999) Fractional Differential Equations , vol.198
    • Podlubny, I.1
  • 3
    • 17444364074 scopus 로고    scopus 로고
    • Analytical solution of a dynamic system containing fractional derivative of order one-half by adomian decomposition method
    • DOI 10.1115/1.1839184
    • Ray S. S., Bera R. K., Analytical solution of a dynamic system containing fractional derivative of order one-half by Adomian decomposition method. Transaction ASME Journal of Applied Mechanics 2005 72 2 290 295 (Pubitemid 40541694)
    • (2005) Journal of Applied Mechanics, Transactions ASME , vol.72 , Issue.2 , pp. 290-295
    • Ray, S.S.1    Poddar, B.P.2    Bera, R.K.3
  • 4
    • 24944478244 scopus 로고    scopus 로고
    • An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
    • DOI 10.1016/j.amc.2004.07.020, PII S0096300304005132
    • Ray S. S., Bera R. K., An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. Applied Mathematics and Computation 2005 167 1 561 571 2-s2.0-24944478244 10.1016/j.amc.2004.07.020 (Pubitemid 41316348)
    • (2005) Applied Mathematics and Computation , vol.167 , Issue.1 , pp. 561-571
    • Ray, S.S.1    Bera, R.K.2
  • 5
    • 33344463928 scopus 로고    scopus 로고
    • Analytical solution of a fractional diffusion equation by Adomian decomposition method
    • DOI 10.1016/j.amc.2005.04.082, PII S0096300305004595
    • Saha Ray S., Bera R. K., Analytical solution of a fractional diffusion equation by Adomian decomposition method. Applied Mathematics and Computation 2006 174 1 329 336 2-s2.0-33344463928 10.1016/j.amc.2005.04.082 (Pubitemid 43288955)
    • (2006) Applied Mathematics and Computation , vol.174 , Issue.1 , pp. 329-336
    • Saha Ray, S.1    Bera, R.K.2
  • 6
    • 33947692255 scopus 로고    scopus 로고
    • Exact solutions for time-fractional diffusion-wave equations by decomposition method
    • DOI 10.1088/0031-8949/75/1/008, PII S00318949072702108, 008
    • Ray S. S., Exact solutions for time-fractional diffusion-wave equations by decomposition method. Physica Scripta 2007 75 1, article 008 53 61 2-s2.0-33947692255 10.1088/0031-8949/75/1/008 (Pubitemid 46485464)
    • (2007) Physica Scripta , vol.75 , Issue.1 , pp. 53-61
    • Ray, S.S.1
  • 7
    • 48349141442 scopus 로고    scopus 로고
    • A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends
    • 2-s2.0-48349141442 10.1016/j.amc.2008.02.043
    • Ray S. S., A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends. Applied Mathematics and Computation 2008 202 2 544 549 2-s2.0-48349141442 10.1016/j.amc.2008.02.043
    • (2008) Applied Mathematics and Computation , vol.202 , Issue.2 , pp. 544-549
    • Ray, S.S.1
  • 8
    • 25644439033 scopus 로고    scopus 로고
    • Analytical solution of the Bagley Torvik equation by Adomian decomposition method
    • DOI 10.1016/j.amc.2004.09.006, PII S0096300304006125
    • Ray S. S., Bera R. K., Analytical solution of the Bagley Torvik equation by Adomian decomposition method. Applied Mathematics and Computation 2005 168 1 398 410 2-s2.0-25644439033 10.1016/j.amc.2004.09.006 (Pubitemid 41383669)
    • (2005) Applied Mathematics and Computation , vol.168 , Issue.1 , pp. 398-410
    • Ray, S.S.1    Bera, R.K.2
  • 9
    • 83555161701 scopus 로고    scopus 로고
    • On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
    • 2-s2.0-83555161701 10.1016/j.amc.2011.11.007
    • Saha Ray S., On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation. Applied Mathematics and Computation 2012 218 9 5239 5248 2-s2.0-83555161701 10.1016/j.amc.2011.11.007
    • (2012) Applied Mathematics and Computation , vol.218 , Issue.9 , pp. 5239-5248
    • Saha Ray, S.1
  • 10
    • 83455225061 scopus 로고    scopus 로고
    • An explicit finite difference scheme for numerical solution of fractional neutron point kinetic equation
    • 2-s2.0-83455225061 10.1016/j.anucene.2011.11.006
    • Ray S. S., Patra A., An explicit finite difference scheme for numerical solution of fractional neutron point kinetic equation. Annals of Nuclear Energy 2012 41 61 66 2-s2.0-83455225061 10.1016/j.anucene.2011.11.006
    • (2012) Annals of Nuclear Energy , vol.41 , pp. 61-66
    • Ray, S.S.1    Patra, A.2
  • 11
    • 0041858039 scopus 로고    scopus 로고
    • Limit set of trajectories of the coupled viscous Burgers' equations
    • PII S089396599700133X
    • Nee J., Duan J., Limit set of trajectories of the coupled viscous Burgers' equations. Applied Mathematics Letters 1998 11 1 57 61 2-s2.0-0041858039 (Pubitemid 128392237)
    • (1998) Applied Mathematics Letters , vol.11 , Issue.1 , pp. 57-61
    • Nee, J.1    Duan, J.2
  • 12
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent - Part II
    • Caputo M., Linear models of dissipation whose Q is almost frequency independent-part II. Royal Astronomical Society 1967 13 529
    • (1967) Royal Astronomical Society , vol.13 , pp. 529
    • Caputo, M.1
  • 14
    • 33947277891 scopus 로고    scopus 로고
    • Generalized Taylor's formula
    • DOI 10.1016/j.amc.2006.07.102, PII S0096300306009398
    • Odibat Z. M., Shawagfeh N. T., Generalized Taylor's formula. Applied Mathematics and Computation 2007 186 1 286 293 2-s2.0-33947277891 10.1016/j.amc.2006.07.102 (Pubitemid 46435616)
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.1 , pp. 286-293
    • Odibat, Z.M.1    Shawagfeh, N.T.2
  • 15
    • 65449127108 scopus 로고    scopus 로고
    • On the solution of two-dimensional coupled Burgers' equations by variational iteration method
    • 2-s2.0-65449127108 10.1016/j.chaos.2007.08.069
    • Soliman A. A., On the solution of two-dimensional coupled Burgers' equations by variational iteration method. Chaos, Solitons and Fractals 2009 40 3 1146 1155 2-s2.0-65449127108 10.1016/j.chaos.2007.08.069
    • (2009) Chaos, Solitons and Fractals , vol.40 , Issue.3 , pp. 1146-1155
    • Soliman, A.A.1
  • 16


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.