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Volumn 75, Issue 1, 2000, Pages 117-127

Implicit midpoint rule and extrapolation to singularly perturbed boundary value problems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; EXTRAPOLATION; FINITE DIFFERENCE METHOD; LINEAR SYSTEMS; PERTURBATION TECHNIQUES;

EID: 0033659036     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207160008804969     Document Type: Article
Times cited : (18)

References (16)
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    • Ertem, S.1    Somali, S.2
  • 3
    • 0001474698 scopus 로고
    • The method of iterated defect-correction and its application to two-point boundary value problems, part II
    • Frank, R. (1977). The method of iterated defect-correction and its application to two-point boundary value problems, Part II, Numer. Math., 27, 407-420.
    • (1977) Numer. Math. , vol.27 , pp. 407-420
    • Frank, R.1
  • 4
    • 0343119286 scopus 로고
    • A uniformly convergent scheme with quasi-constant fitting factors
    • Herceg, D. (1981). A uniformly convergent scheme with quasi-constant fitting factors, Zb. rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. mat., 11, 105-115.
    • (1981) Zb. Rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. Mat. , vol.11 , pp. 105-115
    • Herceg, D.1
  • 5
    • 0041620095 scopus 로고
    • Some finite difference schemes for a singular perturbation problem on a non-uniform mesh
    • Herceg, D. and Vulanovic, R. (1981). Some finite difference schemes for a singular perturbation problem on a non-uniform mesh, Zb. rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. mat., 11, 117-134.
    • (1981) Zb. Rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. Mat. , vol.11 , pp. 117-134
    • Herceg, D.1    Vulanovic, R.2
  • 6
    • 0042120935 scopus 로고
    • On numerical solution of singularly perturbed boundary value problem
    • Bohte, Z. (Ed.) V. Ljubljana: University of Ljubljana, Institute of Mathematics, Physics and Mechanics
    • Herceg, D. (1986). On numerical solution of singularly perturbed boundary value problem. In: Bohte, Z. (Ed.) V. Conference on Applied Mathematics, pp. 59-66. Ljubljana: University of Ljubljana, Institute of Mathematics, Physics and Mechanics.
    • (1986) Conference on Applied Mathematics , pp. 59-66
    • Herceg, D.1
  • 7
    • 0343991299 scopus 로고
    • Higher order schemes and Richardson extrapolation for singular perturbation problems
    • Herceg, D., Vulanovic, R. and Petrovic, N. (1989). Higher order schemes and Richardson extrapolation for singular perturbation problems. Bull. Austral. Math. Soc., 39, 129-139.
    • (1989) Bull. Austral. Math. Soc. , vol.39 , pp. 129-139
    • Herceg, D.1    Vulanovic, R.2    Petrovic, N.3
  • 8
    • 0038197646 scopus 로고
    • Uniform fourth order difference scheme for a singular perturbation problem
    • Herceg, D. (1990). Uniform fourth order difference scheme for a singular perturbation problem, Numer. Math., 56, 675-693.
    • (1990) Numer. Math. , vol.56 , pp. 675-693
    • Herceg, D.1
  • 9
    • 0016567933 scopus 로고
    • Difference methods for boundary value problems in ordinary differential equations
    • Keller, H. B. and White, A. B. (1975). Difference methods for boundary value problems in ordinary differential equations, Siam J. Numer. Anal., 12, 791-802.
    • (1975) Siam J. Numer. Anal. , vol.12 , pp. 791-802
    • Keller, H.B.1    White, A.B.2
  • 10
    • 0001200849 scopus 로고
    • Stability and monotonicity properties of stiff quasilinear boundary problems
    • Lorenz, J. (1982). Stability and monotonicity properties of stiff quasilinear boundary problems, Zb. rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. mat., 12, 151-176.
    • (1982) Zb. Rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. Mat. , vol.12 , pp. 151-176
    • Lorenz, J.1
  • 11
    • 0002597533 scopus 로고
    • Solving singularly perturbed boundary value problems by spline in tension
    • Surla, K. and Stojanovic, M. (1988). Solving singularly perturbed boundary value problems by spline in tension, Journal of Computational and Applied Mathematics, 24, 355-363.
    • (1988) Journal of Computational and Applied Mathematics , vol.24 , pp. 355-363
    • Surla, K.1    Stojanovic, M.2
  • 12
    • 0001741172 scopus 로고
    • On a numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh
    • Vulanovic, R. (1983). On a numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh, Zb. rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. mat., 13, 187-201.
    • (1983) Zb. Rad. Prir. Mat. Fak. Univ. Novom Sadu, Ser. Mat. , vol.13 , pp. 187-201
    • Vulanovic, R.1
  • 13
    • 0043203275 scopus 로고
    • Exponential fitting and special meshes for singularly perturbed problems
    • Vrdoljak, B. (Ed.) Split: Faculty of Civil Engineering
    • Vulanovic, R. (1985). Exponential fitting and special meshes for singularly perturbed problems. In: Vrdoljak, B. (Ed.) IV. Conference on Applied Mathematics, pp. 59-64. Split: Faculty of Civil Engineering.
    • (1985) IV. Conference on Applied Mathematics , pp. 59-64
    • Vulanovic, R.1
  • 15
    • 0022443027 scopus 로고
    • On the extrapolation for a singularly perturbed boundary value problem
    • Vulanovic, R., Herceg, D. and Petrovic, N. (1986). On the extrapolation for a singularly perturbed boundary value problem, Computing, 36(1-2), 69-79.
    • (1986) Computing , vol.36 , Issue.1-2 , pp. 69-79
    • Vulanovic, R.1    Herceg, D.2    Petrovic, N.3
  • 16
    • 0343119283 scopus 로고
    • The hermite scheme for semilinear singular perturbation problems
    • Vulanovic, R. and Herceg, D. (1993). The hermite scheme for semilinear singular perturbation problems, Journal of Computational Mathematics, 11(2), 162-171.
    • (1993) Journal of Computational Mathematics , vol.11 , Issue.2 , pp. 162-171
    • Vulanovic, R.1    Herceg, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.