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Volumn 15, Issue 3, 2010, Pages 481-489

Analytical aspect of fourth-order parabolic partial differential equations with variable coefficients

Author keywords

Convergence control parameter; Fourth order parabolic partial differential equations; Homotopy analysis method; Transverse vibrations

Indexed keywords

CONTROL SYSTEM ANALYSIS; ITERATIVE METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 78149243817     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca15030481     Document Type: Article
Times cited : (11)

References (11)
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    • S. Abbasbandy, The application of homotopy analysis method to nonlinear equations arising in heat transfer, Phys Lett A 360, 109-113, 2006.
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    • Abbasbandy, S.1
  • 4
    • 0035949870 scopus 로고    scopus 로고
    • Analytical treatment of for variable coefficients fourth order parabolic partial differential equations
    • A. M. Wazwaz, Analytical treatment of for variable coefficients fourth order parabolic partial differential equations, Appl. Math. Comput. 123, 219-227, 2001.
    • (2001) Appl. Math. Comput. , vol.123 , pp. 219-227
    • Wazwaz, A.M.1
  • 5
    • 0037102860 scopus 로고    scopus 로고
    • Exact solutions of variable coefficients fourth order parabolic partial differential equations in higher dimension spaces
    • A. M. Wazwaz, Exact solutions of variable coefficients fourth order parabolic partial differential equations in higher dimension spaces, Appl. Math. Comput. 130, 2002, 415-424.
    • (2002) Appl. Math. Comput. , vol.130 , pp. 415-424
    • Wazwaz, A.M.1
  • 6
    • 33746874440 scopus 로고    scopus 로고
    • An exact solution for variable coefficients fourth-order wave equation using the Adomian method
    • H. Haddadpour, An exact solution for variable coefficients fourth-order wave equation using the Adomian method, Math. and Comp. Model. 44(11-12), 1144-1152, 2006.
    • (2006) Math. and Comp. Model. , vol.44 , Issue.11-12 , pp. 1144-1152
    • Haddadpour, H.1
  • 7
    • 34848888634 scopus 로고    scopus 로고
    • He's variational method for fourth-order parabolic equation
    • J. Biazar, H. Ghazvini, He's variational method for fourth-order parabolic equation, Comp. Math. Appl. 54,1047-1054, 2007.
    • (2007) Comp. Math. Appl. , vol.54 , pp. 1047-1054
    • Biazar, J.1    Ghazvini, H.2
  • 8
    • 72449153908 scopus 로고    scopus 로고
    • Analytical study of Navier-Stokes equation with fractional orders using He's homotopy perturbation and variational iteration methods
    • N. A. Khan, A. Ara, A. Mahmood, S. A. Ali, Analytical study of Navier-Stokes equation with fractional orders using He's homotopy perturbation and variational iteration methods, Int. J. of Nonlinear Sc. and Num. Simul. 10, 1127-1134, 2009.
    • (2009) Int. J. of Nonlinear Sc. and Num. Simul. , vol.10 , pp. 1127-1134
    • Khan, N.A.1    Ara, A.2    Mahmood, A.3    Ali, S.A.4
  • 9
    • 24944496276 scopus 로고
    • A stable explicit method for the finite difference solution of fourth order parabolic partial differential equations
    • D. J. Evans, A stable explicit method for the finite difference solution of fourth order parabolic partial differential equations, Comp. J. 8, 280-287, 1965.
    • (1965) Comp. J. , vol.8 , pp. 280-287
    • Evans, D.J.1
  • 10
    • 24944591925 scopus 로고
    • A note on solving the fourth order parabolic equation by the Age method
    • D. J. Evans, W. S. Yousef, A note on solving the fourth order parabolic equation by the Age method. Int J. Comput. Math. 40, 93-97, 1991.
    • (1991) Int J. Comput. Math. , vol.40 , pp. 93-97
    • Evans, D.J.1    Yousef, W.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.