메뉴 건너뛰기




Volumn 161, Issue 2, 2005, Pages 525-542

Linearization techniques for singular initial-value problems of ordinary differential equations

Author keywords

Lane Emden equation; Linearization methods; Ordinary differential equations; Singular initial value problems

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR EQUATIONS; LINEARIZATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 10044270006     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.047     Document Type: Article
Times cited : (71)

References (16)
  • 3
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular initial value problems in the second-order ordinary differential equations
    • A.-M. Wazwaz, A new method for solving singular initial value problems in the second-order ordinary differential equations, Appl. Math. Comput. 128 (2002) 45-57.
    • (2002) Appl. Math. Comput. , vol.128 , pp. 45-57
    • Wazwaz, A.-M.1
  • 6
    • 77957209798 scopus 로고
    • A finite-difference method for a class of singular boundary-value problems
    • M.M. Chawla, C.P. Katti, A finite-difference method for a class of singular boundary-value problems, IMA J. Numer. Anal. 4 (1984) 457-466.
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 457-466
    • Chawla, M.M.1    Katti, C.P.2
  • 7
    • 0022866434 scopus 로고
    • 2 method for a singular two point boundary value problem
    • 2 method for a singular two point boundary value problem, BIT 26 (1986) 318-326.
    • (1986) BIT , vol.26 , pp. 318-326
    • Chawla, M.M.1    McKee, S.2    Shaw, G.3
  • 8
    • 34250105653 scopus 로고
    • Spline methods for singular two-point boundary-value problems
    • S.R.K. Iyengar, P. Jain, Spline methods for singular two-point boundary-value problems, Numer. Math. 50 (1987) 363-376.
    • (1987) Numer. Math. , vol.50 , pp. 363-376
    • Iyengar, S.R.K.1    Jain, P.2
  • 9
    • 0035976505 scopus 로고    scopus 로고
    • Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
    • V.B. Mandelzweig, F. Tabakin, Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs, Comput. Phys. Comm. 141 (2001) 268-281.
    • (2001) Comput. Phys. Comm. , vol.141 , pp. 268-281
    • Mandelzweig, V.B.1    Tabakin, F.2
  • 10
    • 0034225685 scopus 로고    scopus 로고
    • The implicit Euler method for the numerical solution of singular initial value problems
    • O. Koch, P. Kofler, E.B. Weinmüller, The implicit Euler method for the numerical solution of singular initial value problems, Appl. Numer. Math. 34 (2000) 231-252.
    • (2000) Appl. Numer. Math. , vol.34 , pp. 231-252
    • Koch, O.1    Kofler, P.2    Weinmüller, E.B.3
  • 11
    • 84994640282 scopus 로고    scopus 로고
    • Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind
    • O. Koch, P. Kofler, E.B. Weinmüller, Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind, Analysis 21 (2001) 373-389.
    • (2001) Analysis , vol.21 , pp. 373-389
    • Koch, O.1    Kofler, P.2    Weinmüller, E.B.3
  • 12
    • 0034580670 scopus 로고    scopus 로고
    • Iterated defect correction for the solution of singular initial value problems
    • O. Koch, E.B. Weinmüller, Iterated defect correction for the solution of singular initial value problems, SIAM J. Numer. Anal. 38 (2001) 1784-1799.
    • (2001) SIAM J. Numer. Anal. , vol.38 , pp. 1784-1799
    • Koch, O.1    Weinmüller, E.B.2
  • 14
    • 0001529090 scopus 로고    scopus 로고
    • Linearized methods for ordinary differential equations
    • J.I. Ramos, Linearized methods for ordinary differential equations, Appl. Math. Comput. 104 (1999) 109-129.
    • (1999) Appl. Math. Comput. , vol.104 , pp. 109-129
    • Ramos, J.I.1
  • 15
    • 0038131847 scopus 로고    scopus 로고
    • A piecewise time-linearized method for the logistic differential equation
    • J.I. Ramos, A piecewise time-linearized method for the logistic differential equation, Appl. Math. Comput. 93 (1998) 139-148.
    • (1998) Appl. Math. Comput. , vol.93 , pp. 139-148
    • Ramos, J.I.1
  • 16
    • 0038131846 scopus 로고    scopus 로고
    • Maps of implicit, linearized θ-methods for the logistic differential equation
    • J.I. Ramos, Maps of implicit, linearized θ-methods for the logistic differential equation, Appl. Math. Comput. 94 (1998) 1-15.
    • (1998) Appl. Math. Comput. , vol.94 , pp. 1-15
    • Ramos, J.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.