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Volumn 71, Issue 12, 2009, Pages

Dynamics of the solution of Bratu's equation

Author keywords

Bratu's equations; Chaos; Cobweb diagrams; Lyapunov exponents; Power spectra

Indexed keywords

CONTROL PARAMETERS; LYAPUNOV EXPONENT; ONE DIMENSIONAL MAP; POWER-SPECTRA;

EID: 72149110619     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.11.091     Document Type: Article
Times cited : (25)

References (14)
  • 2
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 20 10 (2006) 1141-1199
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 3
    • 34848900880 scopus 로고    scopus 로고
    • A general approach to obtain series solutions of nonlinear differential equations
    • Liao S., and Tan Y. A general approach to obtain series solutions of nonlinear differential equations. Studies in Applied Mathematics 119 (2007) 297-354
    • (2007) Studies in Applied Mathematics , vol.119 , pp. 297-354
    • Liao, S.1    Tan, Y.2
  • 4
    • 0012166933 scopus 로고    scopus 로고
    • Numerical continuation and the Gelfand problem
    • McGough J.S. Numerical continuation and the Gelfand problem. Applied Mathematics and Computation 89 (1998) 225-239
    • (1998) Applied Mathematics and Computation , vol.89 , pp. 225-239
    • McGough, J.S.1
  • 6
    • 0023015595 scopus 로고
    • An analytical and numerical study of the two-dimensional Bratu equation
    • Boyd J.P. An analytical and numerical study of the two-dimensional Bratu equation. Journal of Scientific Computing 1 2 (1986) 183-206
    • (1986) Journal of Scientific Computing , vol.1 , Issue.2 , pp. 183-206
    • Boyd, J.P.1
  • 7
    • 0038521511 scopus 로고    scopus 로고
    • Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation
    • Boyd J.P. Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation. Applied Mathematics and Computation 142 (2003) 189-200
    • (2003) Applied Mathematics and Computation , vol.142 , pp. 189-200
    • Boyd, J.P.1
  • 8
    • 0037408229 scopus 로고    scopus 로고
    • Investigations of nonstandard Mickens-type finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates
    • Buckmire R. Investigations of nonstandard Mickens-type finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates. Numerical Methods for Partial Differential Equations 19 3 (2003) 380-398
    • (2003) Numerical Methods for Partial Differential Equations , vol.19 , Issue.3 , pp. 380-398
    • Buckmire, R.1
  • 10
    • 25844478165 scopus 로고    scopus 로고
    • An analytic approach to solve multiple solutions of a strongly nonlinear problem
    • Li S., and Liao S.J. An analytic approach to solve multiple solutions of a strongly nonlinear problem. Applied Mathematics and Computation 169 (2005) 854-865
    • (2005) Applied Mathematics and Computation , vol.169 , pp. 854-865
    • Li, S.1    Liao, S.J.2
  • 11
    • 20444478300 scopus 로고    scopus 로고
    • Adomian decomposition method for a reliable treatment of the Bratu-type equations
    • Wazwaz A.M. Adomian decomposition method for a reliable treatment of the Bratu-type equations. Applied Mathematics and Computation 166 (2005) 652-663
    • (2005) Applied Mathematics and Computation , vol.166 , pp. 652-663
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.