메뉴 건너뛰기




Volumn 21, Issue 4, 2001, Pages 373-390

Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind1

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84994640282     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.2001.21.4.373     Document Type: Article
Times cited : (23)

References (18)
  • 2
    • 0042275173 scopus 로고
    • On the numerical solution of a class of singular two-point boundary value problems
    • J.R. Cash and H. M. M. Silva. On the numerical solution of a class of singular two-point boundary value problems. J. Comput. Appl. Math., 45:91–102, 1993.
    • (1993) J. Comput. Appl. Math. , vol.45 , pp. 91-102
    • Cash, J.R.1    Silva, H.M.M.2
  • 3
    • 0012590515 scopus 로고
    • A constructive solution for a generalized Thomas-Fermi theory of ionized atoms
    • C.Y. Chan and Y.C. Hon. A constructive solution for a generalized Thomas-Fermi theory of ionized atoms. Quart. Appl. Math., 45:591–599, 1987.
    • (1987) Quart. Appl. Math. , vol.45 , pp. 591-599
    • Chan, C.Y.1    Hon, Y.C.2
  • 5
    • 0012530571 scopus 로고
    • On the imperfection sensitivity of complete spherical shells
    • M. Drmota, R. Scheidl, H. Troger, and E. WeinmuUller. On the imperfection sensitivity of complete spherical shells. Comp. Mech., 2:63–74, 1987.
    • (1987) Comp. Mech. , vol.2 , pp. 63-74
    • Drmota, M.1    Scheidl, R.2    Troger, H.3
  • 6
    • 0033285898 scopus 로고    scopus 로고
    • Nonlinear singular Sturm-Liouville problems
    • M. Duhoux. Nonlinear singular Sturm-Liouville problems. Nonlinear Anal., 38A:897–918, 1999.
    • (1999) Nonlinear Anal. , vol.38A , pp. 897-918
    • Duhoux, M.1
  • 7
    • 0032372603 scopus 로고    scopus 로고
    • On a finite difference method for singular two-point boundary value problems
    • M.A. El-Gebeily and I.T. Abu-Zaid. On a finite difference method for singular two-point boundary value problems. IMA J. Numer. Anal., 18:179–190, 1998.
    • (1998) IMA J. Numer. Anal. , vol.18 , pp. 179-190
    • El-Gebeily, M.A.1    Abu-Zaid, I.T.2
  • 8
    • 0035579402 scopus 로고    scopus 로고
    • Asymptotic error expansions for singular boundary value problems
    • F. FroUmmlet and E. WeinmuUller. Asymptotic error expansions for singular boundary value problems. Math. Models Methods Appl Sci., 11:1–16, 2001.
    • (2001) Math. Models Methods Appl Sci. , vol.11 , pp. 1-16
    • FroUmmlet, F.1    WeinmuUller, E.2
  • 9
    • 0017011164 scopus 로고
    • Difference methods for boundary value problems with a singularity of the first kind
    • F.R. de Hoog and R. Weiss. Difference methods for boundary value problems with a singularity of the first kind. SIAM J. Numer. Anal., 13:775–813, 1976.
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 775-813
    • de Hoog, F.R.1    Weiss, R.2
  • 10
    • 0002102438 scopus 로고
    • Collocation methods for singular boundary value problems
    • F.R. de Hoog and R. Weiss. Collocation methods for singular boundary value problems. SIAM J. Numer. Anal., 15:198–217, 1978.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 198-217
    • de Hoog, F.R.1    Weiss, R.2
  • 11
    • 0007148562 scopus 로고    scopus 로고
    • Analysis of singular initial and terminal value problems
    • 125/99, Inst, for Appl. Math, and Numer. Anal., Vienna Univ. of Technology, Austria Available at http: Ili smat. at/otlunar/research.html
    • O. Koch, P. Kofler, and E. WeinmuUller. Analysis of singular initial and terminal value problems. Techn. Rep. Nr. 125/99, Inst, for Appl. Math, and Numer. Anal., Vienna Univ. of Technology, Austria, 1999. Available at http: Ili smat. at/otlunar/research.html.
    • (1999) Techn. Rep. Nr.
    • Koch, O.1    Kofler, P.2
  • 12
    • 21144479722 scopus 로고
    • Solvability of boundary value problems for systems of singular differential-algebraic equations
    • R. MaUrz and E. WeinmuUller. Solvability of boundary value problems for systems of singular differential-algebraic equations. SIAM J. Math. Anal., 24:200–215, 1993.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 200-215
    • MaUrz, R.1    WeinmuUller, E.2
  • 13
    • 0029472586 scopus 로고
    • Dry-flowing avalanche run-up and run-out
    • D.M. McClung and A.I. Mears. Dry-flowing avalanche run-up and run-out. J. Glaciol., 41(138):359–369, 1995.
    • (1995) J. Glaciol. , vol.41 , Issue.138 , pp. 359-369
    • McClung, D.M.1    Mears, A.I.2
  • 14
    • 21844508391 scopus 로고
    • Computation and parametrization of periodic and connecting orbits
    • G. Moore. Computation and parametrization of periodic and connecting orbits. IMA J. Numer. Anal., 15:245–263, 1995.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 245-263
    • Moore, G.1
  • 15
    • 0030653610 scopus 로고    scopus 로고
    • A grid generator for problems on unbounded intervals with rationally decaying solutions
    • F. Al-Musallam, M. Al-Zanaidi, and C. Grossmann. A grid generator for problems on unbounded intervals with rationally decaying solutions. Computing, 58:157–171, 1997.
    • (1997) Computing , vol.58 , pp. 157-171
    • Al-Musallam, F.1    Al-Zanaidi, M.2
  • 16
    • 0016884740 scopus 로고
    • Numerical solution of the singular Ginzburg-Landau equations by multiple shooting
    • P. Rentrop. Numerical solution of the singular Ginzburg-Landau equations by multiple shooting. Computing, 16:61–67, 1976.
    • (1976) Computing , vol.16 , pp. 61-67
    • Rentrop, P.1
  • 17
    • 0042776264 scopus 로고
    • Collocation for singular boundary value problems of second order
    • E. WeinmuUller. Collocation for singular boundary value problems of second order. SIAM J. Numer. Anal., 23:1062–1095, 1986.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1062-1095
    • WeinmuUller, E.1
  • 18
    • 84983921487 scopus 로고
    • Pathfollowing algorithm for singular boundary value problems
    • E. WeinmuUller and R. Winkler. Pathfollowing algorithm for singular boundary value problems. ZAMM, 68:527–537, 1988.
    • (1988) ZAMM , vol.68 , pp. 527-537
    • WeinmuUller, E.1    Winkler, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.