메뉴 건너뛰기




Volumn 133, Issue 2-3, 2002, Pages 539-545

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

Author keywords

Finite difference method; Monotone matrix; Singular two point boundary value problems

Indexed keywords


EID: 0037114089     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00255-7     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 0016484851 scopus 로고
    • Numerical methods for singular boundary value problems
    • R.D. Russell L.F. Shampine 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
  • 2
    • 0001530314 scopus 로고
    • On the convergence of finite difference approximations to one-dimensional singular boundary value problems
    • P. Jamet 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
  • 3
    • 0001852896 scopus 로고
    • Numerical methods of high order accuracy for singular non-linear boundary value problems
    • P.G. Ciarlet F. Natterer R.S. Varga 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
  • 4
    • 0000141188 scopus 로고
    • A numerical method for solving singular boundary value problems
    • B. Gustafsson 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
  • 5
    • 0001563843 scopus 로고
    • Projection methods and singular two-point boundary value problems
    • G.W. Reddien 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
  • 6
    • 0003260834 scopus 로고
    • On a collocation method for singular two-point boundary value problems
    • G.W. Reddien L.L. Schumaker 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
  • 7
    • 0001700768 scopus 로고
    • Finite difference methods and their convergence for a class of singular two-point boundary value problems
    • M.M. Chawla C.P. Katti 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
  • 8
    • 0021389790 scopus 로고
    • Variable mesh methods for the numerical solution of two-point singular perturbation problems
    • M.K. Jain S.R.K. Iyengar G.S.S. Subramanyam Variable mesh methods for the numerical solution of two-point singular perturbation problems Comput. Methods Appl. Mech. Engrg. 42 1984 273 286
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.42 , pp. 273-286
    • Jain, M.K.1    Iyengar, S.R.K.2    Subramanyam, G.S.S.3
  • 9
    • 0023311075 scopus 로고
    • A fourth-order finite difference method based on uniform mesh for singular two-point boundary value problems
    • M.M. Chawla A fourth-order finite difference method based on uniform mesh for singular two-point boundary value problems J. Comput. Appl. Math. 17 1987 359 364
    • (1987) J. Comput. Appl. Math. , vol.17 , pp. 359-364
    • Chawla, M.M.1
  • 10
    • 0032372603 scopus 로고    scopus 로고
    • On a finite difference method for singular two-point boundary value problems
    • M.A. El-Gebeily I.T. Abu zaid 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
    • M.M. Chawla P.N. ShivKumar 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
    • C.P. Katti S.N. Baboo S. Sivaloganathan 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
    • R.N. Sen M.B. Hussain 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    Hussain, M.B.2
  • 14
    • 0001106067 scopus 로고
    • Numerical methods for singular differential equations with singular solutions
    • Z.Z. Mou G. Sue Q.B. He Numerical methods for singular differential equations with singular solutions J. Numer. Methods Comput. Appl. 16 4 1995 262 271
    • (1995) J. Numer. Methods 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
    • K. Surla Z. Uzelac 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.