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Volumn 7, Issue 2, 2002, Pages 271-284

Numerical methods and error estimates for a singular boundary-value problem

Author keywords

Asymptotic expansion; Finite differences scheme; Singular problems

Indexed keywords

ASYMPTOTIC ANALYSIS; BOUNDARY VALUE PROBLEMS; FINITE DIFFERENCE METHOD;

EID: 34248326580     PISSN: 13926292     EISSN: 16483510     Source Type: Journal    
DOI: 10.1080/13926292.2002.9637199     Document Type: Article
Times cited : (4)

References (12)
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    • Singular problems for Emden-Fowler type second-order nonlinear differential equations
    • Dyshko, A.L., Carpentier, M.P., Konyukhova, N.B., and Lima, P.M., 2001. Singular problems for Emden-Fowler type second-order nonlinear differential equations. Comput. Maths. Math. Phys., 41:557–580.
    • (2001) Comput. Maths. Math. Phys. , vol.41 , pp. 557-580
    • Dyshko, A.L.1    Carpentier, M.P.2    Konyukhova, N.B.3    Lima, P.M.4
  • 3
    • 0030170369 scopus 로고    scopus 로고
    • Numerical methods and asymptotic error expansions for the Emden-Fowler equations
    • Lima, P.M., 1996. Numerical methods and asymptotic error expansions for the Emden-Fowler equations. J. of Comp. and Applied Mathematics, 70:245–266.
    • (1996) J. of Comp. and Applied Mathematics , vol.70 , pp. 245-266
    • Lima, P.M.1
  • 4
    • 0033541911 scopus 로고    scopus 로고
    • Asymptotic expansions and numerical approximation of nonlinear degenerate boundary-value problems
    • Lima, P.M., and Carpentier, M.P., 1999. Asymptotic expansions and numerical approximation of nonlinear degenerate boundary-value problems. Appl. Num. Math., 30:93–111.
    • (1999) Appl. Num. Math. , vol.30 , pp. 93-111
    • Lima, P.M.1    Carpentier, M.P.2
  • 5
    • 0033333750 scopus 로고    scopus 로고
    • Iterative methods for a singular boundary-value problem
    • Lima, P.M., and Carpentier, M.P., 1999. Iterative methods for a singular boundary-value problem. J. of Comp. and Applied Mathematics, 111:173–186.
    • (1999) J. of Comp. and Applied Mathematics , vol.111 , pp. 173-186
    • Lima, P.M.1    Carpentier, M.P.2
  • 6
    • 0034174044 scopus 로고    scopus 로고
    • Numerical solution of a singular boundary-value problem in non-Newtonian fluid mechanics
    • Lima, P.M., and Carpentier, M.P., 2000. Numerical solution of a singular boundary-value problem in non-Newtonian fluid mechanics. Comp. Phys. Comm., 126:114–120.
    • (2000) Comp. Phys. Comm. , vol.126 , pp. 114-120
    • Lima, P.M.1    Carpentier, M.P.2
  • 7
    • 84887141468 scopus 로고    scopus 로고
    • Numerical methods for a singular boundary-value problem for a generalized Emden-Fowler equation
    • (to appear)
    • Lima, P.M., and Oliveira, A.M., Numerical methods for a singular boundary-value problem for a generalized Emden-Fowler equation. Applied Numerical Mathematics, (to appear)
    • Applied Numerical Mathematics
    • Lima, P.M.1    Oliveira, A.M.2
  • 9
    • 0008526454 scopus 로고
    • A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations
    • Mooney, J.W., 1979. A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations. Nonlinear Analysis, 3:449–465.
    • (1979) Nonlinear Analysis , vol.3 , pp. 449-465
    • Mooney, J.W.1
  • 10
    • 21144482189 scopus 로고
    • Numerical schemes for degenerate boundary-value problems
    • Mooney, J.W., 1993. Numerical schemes for degenerate boundary-value problems. J. Phys. A, 26:L413–L421.
    • (1993) J. Phys. A , vol.26 , pp. L413-L421
    • Mooney, J.W.1
  • 11
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    • Solution of a Thomas-Fermi problem using linear approximants
    • Mooney, J.W., 1993. Solution of a Thomas-Fermi problem using linear approximants. Cornput. Phys. Comm., 76:51–57.
    • (1993) Cornput. Phys. Comm. , vol.76 , pp. 51-57
    • Mooney, J.W.1
  • 12
    • 0040133178 scopus 로고
    • A comparison theorem for second order odes and applications to singular problems
    • Tineo, A., 1995. A comparison theorem for second order odes and applications to singular problems. Journal of Differential Equations, 16:16–30.
    • (1995) Journal of Differential Equations , vol.16 , pp. 16-30
    • Tineo, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.