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Volumn 143, Issue 2-3, 2003, Pages 551-557

A new finite difference method for a class of singular two-point boundary value problems

Author keywords

Finite difference method; Monotone matrix; Singular boundary value problem

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; MATRIX ALGEBRA;

EID: 0037844977     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00384-3     Document Type: Article
Times cited : (8)

References (15)
  • 1
    • 0001700768 scopus 로고
    • Finite difference methods and their convergence for a class of singular two-point boundary value problems
    • Chawla M.M., Katti C.P. Finite difference methods and their convergence for a class of singular two-point boundary value problems. Numer. Math. 39:1982;341-350.
    • (1982) Numer. Math. , vol.39 , pp. 341-350
    • Chawla, M.M.1    Katti, C.P.2
  • 2
    • 0001852896 scopus 로고
    • Numerical methods of high order accuracy for singular non-linear boundary value problems
    • Ciarlet P.G., Natterer F., Varga R.S. Numerical methods of high order accuracy for singular non-linear boundary value problems. Numer. Math. 15:1970;87-99.
    • (1970) Numer. Math. , vol.15 , pp. 87-99
    • Ciarlet, P.G.1    Natterer, F.2    Varga, R.S.3
  • 3
    • 0000141188 scopus 로고
    • A numerical method for solving singular boundary value problems
    • Gustafsson B. A numerical method for solving singular boundary value problems. Numer. Math. 21:1973;328-344.
    • (1973) Numer. Math. , vol.21 , pp. 328-344
    • Gustafsson, B.1
  • 4
    • 0021389790 scopus 로고
    • Variable mesh methods for the numerical solution of two-point singular perturbation problems
    • Jain M.K., Iyengar S.R.K., Subramanyam G.S.S. Variable mesh methods for the numerical solution of two-point singular perturbation problems. Comput. Meth. Appl. Mech. Engng. 42:1984;273-286.
    • (1984) Comput. Meth. Appl. Mech. Engng. , vol.42 , pp. 273-286
    • Jain, M.K.1    Iyengar, S.R.K.2    Subramanyam, G.S.S.3
  • 5
    • 0001530314 scopus 로고
    • On the convergence of finite difference approximations to one-dimensional singular boundary value problems
    • Jamet P. On the convergence of finite difference approximations to one-dimensional singular boundary value problems. Numer. Math. 14:1970;355-378.
    • (1970) Numer. Math. , vol.14 , pp. 355-378
    • Jamet, P.1
  • 7
    • 0001563843 scopus 로고
    • Projection methods and singular two-point boundary value problems
    • Reddien G.W. Projection methods and singular two-point boundary value problems. Numer. Math. 21:1973;193-205.
    • (1973) Numer. Math. , vol.21 , pp. 193-205
    • Reddien, G.W.1
  • 8
    • 0003260834 scopus 로고
    • On a collocation method for singular two-point boundary value problems
    • Reddien G.W., Schumaker L.L. On a collocation method for singular two-point boundary value problems. Numer. Math. 25:1976;427-432.
    • (1976) Numer. Math. , vol.25 , pp. 427-432
    • Reddien, G.W.1    Schumaker, L.L.2
  • 9
    • 0016484851 scopus 로고
    • Numerical methods for singular boundary value problems
    • Russell R.D., Shampine L.F. Numerical methods for singular boundary value problems. SIAM. J. Numer. Anal. 12:1975;13-35.
    • (1975) SIAM. J. Numer. Anal. , vol.12 , pp. 13-35
    • Russell, R.D.1    Shampine, L.F.2
  • 10
    • 0032372603 scopus 로고    scopus 로고
    • On a finite difference method for singular two-point boundary value problems
    • El-Gebeily M.A., Abu zaid I.T. On a finite difference method for singular two-point boundary value problems. IMA J. Numer. Anal. 18(2):1998;179-190.
    • (1998) IMA J. Numer. Anal. , vol.18 , Issue.2 , pp. 179-190
    • El-Gebeily, M.A.1    Abu Zaid, I.T.2
  • 11
    • 0001228906 scopus 로고    scopus 로고
    • An efficient finite difference method for two-point boundary value problems
    • Chawla M.M., ShivKumar P.N. An efficient finite difference method for two-point boundary value problems. Neural, Parallel Sci. Comp. 4(3):1996;387-395.
    • (1996) Neural, Parallel Sci. Comp. , vol.4 , Issue.3 , pp. 387-395
    • Chawla, M.M.1    ShivKumar, P.N.2
  • 12
    • 0000333854 scopus 로고    scopus 로고
    • On the convergence of finite difference methods for a class of singular two-point boundary value problems with periodic boundary conditions
    • Katti C.P., Baboo S.N., Sivaloganathan S. On the convergence of finite difference methods for a class of singular two-point boundary value problems with periodic boundary conditions. Appl. Math. Comput. 75(2-3):1996;287-302.
    • (1996) Appl. Math. Comput. , vol.75 , Issue.2-3 , pp. 287-302
    • Katti, C.P.1    Baboo, S.N.2    Sivaloganathan, S.3
  • 13
    • 0030164949 scopus 로고    scopus 로고
    • Finite difference methods for certain two-point boundary value problems
    • Sen R.N., Bellal Hussain Md. Finite difference methods for certain two-point boundary value problems. J. Comput. Appl. Math. 70(1):1996;33-50.
    • (1996) J. Comput. Appl. Math. , vol.70 , Issue.1 , pp. 33-50
    • Sen, R.N.1    Bellal Hussain, Md.2
  • 14
    • 0001106067 scopus 로고
    • Numerical methods for singular differential equations with singular solutions
    • Mou Z.Z., Sue G., He Q.B. Numerical methods for singular differential equations with singular solutions. J. Numer. Meth. Comput. Appl. 16(4):1995;262-271.
    • (1995) J. Numer. Meth. Comput. Appl. , vol.16 , Issue.4 , pp. 262-271
    • Mou, Z.Z.1    Sue, G.2    He, Q.B.3
  • 15
    • 0030250976 scopus 로고    scopus 로고
    • A uniformly accurate difference Schemes for singular perturbation problem
    • Surla K., Uzelac Z. A uniformly accurate difference Schemes for singular perturbation problem. Indian J. Pure Appl. Math. 27(10):1996;1005-1016.
    • (1996) Indian J. Pure Appl. Math. , vol.27 , Issue.10 , pp. 1005-1016
    • Surla, K.1    Uzelac, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.