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Volumn 208, Issue 1, 1997, Pages 181-204

On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYERS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; PERTURBATION TECHNIQUES;

EID: 0031106935     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5314     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 0010962880 scopus 로고
    • On difference scheme for a singularly perturbed parabolic equation
    • Alexeevsky M. V. On difference scheme for a singularly perturbed parabolic equation. Uchen. Zap. Natur. Sci. 1:1980;3-13.
    • (1980) Uchen. Zap. Natur. Sci. , vol.1 , pp. 3-13
    • Alexeevsky, M.V.1
  • 2
    • 0001533213 scopus 로고
    • Relaxation methods applied to determine the motion in two dimensions of viscous fluid past a fixed cylinder
    • Allen D. N., Southwell R. V. Relaxation methods applied to determine the motion in two dimensions of viscous fluid past a fixed cylinder. Quart. J. Mech. Appl. Math. 8:1955;129-145.
    • (1955) Quart. J. Mech. Appl. Math. , vol.8 , pp. 129-145
    • Allen, D.N.1    Southwell, R.V.2
  • 3
    • 0001238824 scopus 로고
    • On optimization of methods to solve boundary value problems with boundary layers
    • Bakhvalov N. S. On optimization of methods to solve boundary value problems with boundary layers. Vychisl. Mat. Mat. Fiz. 9:1969;841-859.
    • (1969) Vychisl. Mat. Mat. Fiz. , vol.9 , pp. 841-859
    • Bakhvalov, N.S.1
  • 5
    • 0010957484 scopus 로고
    • Difference scheme for a three-dimensional elliptic equation with small parameters at highest-order derivatives
    • Emel'yanov K. V. Difference scheme for a three-dimensional elliptic equation with small parameters at highest-order derivatives. Kraev. Zadach. Uravn. Mat. Fiz. 1973;30-42.
    • (1973) Kraev. Zadach. Uravn. Mat. Fiz. , pp. 30-42
    • Emel'yanov, K.V.1
  • 6
    • 0000101872 scopus 로고
    • Difference scheme for differential equation with a small parameter at the highest order
    • Il'in A. M. Difference scheme for differential equation with a small parameter at the highest order. Mat. Zametki. 6:1969;237-248.
    • (1969) Mat. Zametki , vol.6 , pp. 237-248
    • Il'in, A.M.1
  • 11
    • 0000789350 scopus 로고
    • A difference scheme on the non-uniform grid for a differential equation with a small parameter at the highest derivative
    • Shishkin G. I. A difference scheme on the non-uniform grid for a differential equation with a small parameter at the highest derivative. Zh. Vychisl. Mat. i Mat. Fiz. 23:1983;609-619.
    • (1983) Zh. Vychisl. Mat. i Mat. Fiz. , vol.23 , pp. 609-619
    • Shishkin, G.I.1
  • 12
    • 0010999802 scopus 로고
    • Improving the accuracy of the solution of difference schemes for parabolic equations with a small parameter at the highest derivative
    • Shishkin G. I. Improving the accuracy of the solution of difference schemes for parabolic equations with a small parameter at the highest derivative. Zh. Vychisl. Mat. i Mat. Fiz. 24:1984;864-875.
    • (1984) Zh. Vychisl. Mat. i Mat. Fiz. , vol.24 , pp. 864-875
    • Shishkin, G.I.1
  • 13
    • 0011049870 scopus 로고
    • Approximation of solutions of singularly perturbed boundary value problems with a parabolic boundary layer
    • Shishkin G. I. Approximation of solutions of singularly perturbed boundary value problems with a parabolic boundary layer. Zh. Vychisl. Mat. i Mat. Fiz. 29:1989;963-977.
    • (1989) Zh. Vychisl. Mat. i Mat. Fiz. , vol.29 , pp. 963-977
    • Shishkin, G.I.1
  • 15
    • 0011029202 scopus 로고
    • A difference scheme for a differential equation with two small parameters multiplying derivatives
    • Shishkin G. I., Titov V. A. A difference scheme for a differential equation with two small parameters multiplying derivatives. Numerical Methods in Mechanics of Solid Substances. 7:1976;145-155.
    • (1976) Numerical Methods in Mechanics of Solid Substances , vol.7 , pp. 145-155
    • Shishkin, G.I.1    Titov, V.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.