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Volumn 166, Issue 3, 2005, Pages 652-663

Adomian decomposition method for a reliable treatment of the Bratu-type equations

Author keywords

Adomian decomposition method; Boundary value problems; Bratu's problem; Initial value problems

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; INITIAL VALUE PROBLEMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 20444478300     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.059     Document Type: Article
Times cited : (239)

References (14)
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    • J.P. Boyd 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
  • 3
    • 0023015595 scopus 로고
    • An analytical and numerical study of the two-dimensional Bratu equation
    • J.P. Boyd 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
  • 4
    • 0037408229 scopus 로고    scopus 로고
    • Investigations of nonstandard Mickens-type finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates
    • R. Buckmire 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
  • 5
    • 0036751359 scopus 로고    scopus 로고
    • The Liouville-Bratu-Gelfand problem for radial operators
    • J. Jacobson, and K. Schmitt The Liouville-Bratu-Gelfand problem for radial operators Journal of Differential Equations 184 2002 283 298
    • (2002) Journal of Differential Equations , vol.184 , pp. 283-298
    • Jacobson, J.1    Schmitt, K.2
  • 10
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular initial value problems in the second order differential equations
    • A.M. Wazwaz A new method for solving singular initial value problems in the second order differential equations Applied Mathematics and Computation 128 2002 47 57
    • (2002) Applied Mathematics and Computation , vol.128 , pp. 47-57
    • Wazwaz, A.M.1
  • 12
    • 0002811385 scopus 로고    scopus 로고
    • Analytical approximations and Padé approximants for Volterra's population model
    • A.M. Wazwaz Analytical approximations and Padé approximants for Volterra's population model Applied Mathematics and Computation 100 1999 13 25
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    • Wazwaz, A.M.1
  • 13
    • 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 Applied Mathematics and Computation 111 2000 53 69
    • (2000) Applied Mathematics and Computation , vol.111 , pp. 53-69
    • Wazwaz, A.M.1
  • 14
    • 0002105104 scopus 로고    scopus 로고
    • The decomposition method for solving the diffusion equation subject to the classification of mass
    • A.M. Wazwaz The decomposition method for solving the diffusion equation subject to the classification of mass IJAM 3 1 2000 25 34
    • (2000) IJAM , vol.3 , Issue.1 , pp. 25-34
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.