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Volumn 165, Issue 3, 2005, Pages 549-564

An exponentially-fitted method for singularly-perturbed ordinary differential equations with turning points and parabolic problems

Author keywords

Advection reaction diffusion equations; Exponentially fitted method; Singularly perturbed ordinary differential equations; Singularly perturbed parabolic equations; Turning points

Indexed keywords

BOUNDARY LAYERS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; REYNOLDS NUMBER;

EID: 18144401685     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.04.030     Document Type: Article
Times cited : (5)

References (22)
  • 6
  • 7
    • 0000101872 scopus 로고
    • A difference scheme for a differential equation with a small parameter affecting the highest derivative
    • A.M. Il'in A difference scheme for a differential equation with a small parameter affecting the highest derivative Mathematik Zametki 6 1969 237 248
    • (1969) Mathematik Zametki , vol.6 , pp. 237-248
    • Il'In, A.M.1
  • 9
    • 0017995373 scopus 로고
    • Numerical method for boundary layers with blowing: The exponential box scheme
    • T.M. El-Mistikawy, and M.J. Werle Numerical method for boundary layers with blowing: the exponential box scheme AIAA Journal 16 1955 749 751
    • (1955) AIAA Journal , vol.16 , pp. 749-751
    • El-Mistikawy, T.M.1    Werle, M.J.2
  • 11
    • 0024888223 scopus 로고
    • Grid approximation of singularly perturbed boundary value problems with a regular boundary layer
    • G.I. Shishkin Grid approximation of singularly perturbed boundary value problems with a regular boundary layer Soviet Journal of Numerical Analysis and Mathematical Modelling 4 1989 397 417
    • (1989) Soviet Journal of Numerical Analysis and Mathematical Modelling , vol.4 , pp. 397-417
    • Shishkin, G.I.1
  • 12
    • 0002694978 scopus 로고
    • Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers
    • A.F. Hagerty, J.J.H. Miller, E. O'Riordan, and G.I. Shishkin Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers Journal of Computational Physics 117 1995 47 54
    • (1995) Journal of Computational Physics , vol.117 , pp. 47-54
    • Hagerty, A.F.1    Miller, J.J.H.2    O'Riordan, E.3    Shishkin, G.I.4
  • 13
    • 0037050718 scopus 로고    scopus 로고
    • Optimal mesh design for the finite element approximation of reaction-diffusion problems
    • C. Xenophontos Optimal mesh design for the finite element approximation of reaction-diffusion problems International Journal for Numerical Methods in Engineering 53 2002 929 943
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , pp. 929-943
    • Xenophontos, C.1
  • 15
    • 0037849987 scopus 로고    scopus 로고
    • A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
    • C. Clavero, J.C. Jorge, and F. Lisbona A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems Journal of Computational and Applied Mathematics 154 2003 415 429
    • (2003) Journal of Computational and Applied Mathematics , vol.154 , pp. 415-429
    • Clavero, C.1    Jorge, J.C.2    Lisbona, F.3
  • 16
    • 0042284825 scopus 로고    scopus 로고
    • Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers
    • S. Natesan, J. Jayakumar, and J. Vigo-Aguiar Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers Journal of Computational and Applied Mathematics 158 2003 121 134
    • (2003) Journal of Computational and Applied Mathematics , vol.158 , pp. 121-134
    • Natesan, S.1    Jayakumar, J.2    Vigo-Aguiar, J.3
  • 17
    • 38249001630 scopus 로고
    • A computational method for solving singular perturbation problems
    • J. Jayakumar, and N. Ramanujam A computational method for solving singular perturbation problems Applied Mathematics and Computation 55 1993 31 48
    • (1993) Applied Mathematics and Computation , vol.55 , pp. 31-48
    • Jayakumar, J.1    Ramanujam, N.2
  • 18
    • 0001113796 scopus 로고    scopus 로고
    • A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
    • S. Natesan, and N. Ramanujam A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers Applied Mathematics and Computation 93 1998 259 275
    • (1998) Applied Mathematics and Computation , vol.93 , pp. 259-275
    • Natesan, S.1    Ramanujam, N.2
  • 19
    • 0032347076 scopus 로고    scopus 로고
    • Initial-value techniques for singularly-perturbed turning-point problems exhibiting twin boundary layers
    • S. Natesan, and N. Ramanujam Initial-value techniques for singularly-perturbed turning-point problems exhibiting twin boundary layers Journal of Optimization Theory and Applications 99 1998 37 52
    • (1998) Journal of Optimization Theory and Applications , vol.99 , pp. 37-52
    • Natesan, S.1    Ramanujam, N.2
  • 21
    • 0742307481 scopus 로고    scopus 로고
    • A parallel boundary value technique for singularly perturbed two-point boundary value problems
    • J. Vigo-Aguiar, and S. Natesan A parallel boundary value technique for singularly perturbed two-point boundary value problems The Journal of Supercomputing 27 2004 195 206
    • (2004) The Journal of Supercomputing , vol.27 , pp. 195-206
    • Vigo-Aguiar, J.1    Natesan, S.2
  • 22
    • 3042711700 scopus 로고    scopus 로고
    • Uniform convergent methods on arbitary meshes for singularly perturbed problems with piecewise smooth coefficients
    • I. Boglaev Uniform convergent methods on arbitary meshes for singularly perturbed problems with piecewise smooth coefficients Research Letters on Information on Mathematical Sciences 3 2002 1 14
    • (2002) Research Letters on Information on Mathematical Sciences , vol.3 , pp. 1-14
    • Boglaev, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.