메뉴 건너뛰기




Volumn 60, Issue 7, 2010, Pages 1924-1939

Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution

Author keywords

Adaptive mesh; Normalized flux; Singularly perturbed convectiondiffusion problems; Uniform convergence; Upwind scheme

Indexed keywords

ADAPTIVE MESHES; NORMALIZED FLUX; SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS; UNIFORM CONVERGENCE; UP-WIND SCHEME;

EID: 77957918893     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.07.026     Document Type: Article
Times cited : (21)

References (14)
  • 1
    • 0034300742 scopus 로고    scopus 로고
    • Convergence analysis of finite differences approximations on equidistributed grids to a singularly perturbed boundary value problem
    • M.G. Beckett, and J.A. Mackenzie Convergence analysis of finite differences approximations on equidistributed grids to a singularly perturbed boundary value problem Appl. Numer. Math. 35 166 2000 87 109
    • (2000) Appl. Numer. Math. , vol.35 , Issue.166 , pp. 87-109
    • Beckett, M.G.1    MacKenzie, J.A.2
  • 2
    • 84966216257 scopus 로고
    • Analysis of some difference approximations for a singular perturbation problem without turning point
    • R.B. Kellogg, and A. Tsan Analysis of some difference approximations for a singular perturbation problem without turning point Math. Comp. 32 144 1978 1025 1039
    • (1978) Math. Comp. , vol.32 , Issue.144 , pp. 1025-1039
    • Kellogg, R.B.1    Tsan, A.2
  • 3
    • 77957888921 scopus 로고    scopus 로고
    • Uniform convergence analysis of finite difference scheme for singularly perturbed delay differential equation on an adaptively generated grid
    • J. Mohapatra, and S. Natesan Uniform convergence analysis of finite difference scheme for singularly perturbed delay differential equation on an adaptively generated grid Numer. Math. Theory Methods Appl. 3 1 2010 1 22
    • (2010) Numer. Math. Theory Methods Appl. , vol.3 , Issue.1 , pp. 1-22
    • Mohapatra, J.1    Natesan, S.2
  • 4
    • 0033888151 scopus 로고    scopus 로고
    • Numerical solution of a singularly perturbed two point boundary value problem using equidistribution: Analysis of convergence
    • Y. Qiu, D.M. Sloan, and T. Tang Numerical solution of a singularly perturbed two point boundary value problem using equidistribution: analysis of convergence J. Comput. Appl. Math. 116 2000 121 143
    • (2000) J. Comput. Appl. Math. , vol.116 , pp. 121-143
    • Qiu, Y.1    Sloan, D.M.2    Tang, T.3
  • 6
    • 77953134094 scopus 로고    scopus 로고
    • Higher order global solution and normalized flux for singularly perturbed reactiondiffusion problems
    • R.K. Bawa, and C. Clavero Higher order global solution and normalized flux for singularly perturbed reactiondiffusion problems Appl. Math. Comput. 216 7 2010 2058 2068
    • (2010) Appl. Math. Comput. , vol.216 , Issue.7 , pp. 2058-2068
    • Bawa, R.K.1    Clavero, C.2
  • 7
    • 76249110958 scopus 로고    scopus 로고
    • A robust second-order numerical method for global solution and global normalized flux for singularly perturbed self-adjoint boundary value problems
    • C. Clavero, R.K. Bawa, and S. Natesan A robust second-order numerical method for global solution and global normalized flux for singularly perturbed self-adjoint boundary value problems Int. J. Comput. Math. 86 1011 2009 1731 1745
    • (2009) Int. J. Comput. Math. , vol.86 , Issue.1011 , pp. 1731-1745
    • Clavero, C.1    Bawa, R.K.2    Natesan, S.3
  • 8
    • 0003885894 scopus 로고
    • On the approximation of the derivatives of singularly perturbed boundary value prblems
    • V. Ervin, and W. Layton On the approximation of the derivatives of singularly perturbed boundary value prblems SIAM J. Sci. Comput. 8 3 1987 265 277
    • (1987) SIAM J. Sci. Comput. , vol.8 , Issue.3 , pp. 265-277
    • Ervin, V.1    Layton, W.2
  • 9
    • 0035479453 scopus 로고    scopus 로고
    • Approximation of derivatives in a convectiondiffusion two-point boundary value problem
    • N. Kopteva, and M. Stynes Approximation of derivatives in a convectiondiffusion two-point boundary value problem Appl. Numer. Math. 39 2001 47 60
    • (2001) Appl. Numer. Math. , vol.39 , pp. 47-60
    • Kopteva, N.1    Stynes, M.2
  • 10
    • 76249095906 scopus 로고    scopus 로고
    • Uniformly convergent compact numerical scheme for the normalized flux of singularly perturbed reactiondiffusion problems
    • S. Natesan, R.K. Bawa, and C. Clavero Uniformly convergent compact numerical scheme for the normalized flux of singularly perturbed reactiondiffusion problems Int. J. Inf. Syst. Sci. 3 2 2007 207 221
    • (2007) Int. J. Inf. Syst. Sci. , vol.3 , Issue.2 , pp. 207-221
    • Natesan, S.1    Bawa, R.K.2    Clavero, C.3
  • 12
    • 0033112611 scopus 로고    scopus 로고
    • Uniform convergence analysis of an upwind finite difference approximation of a convectiondiffusion boundary value problem on an adaptive grid
    • J. Mackenzie Uniform convergence analysis of an upwind finite difference approximation of a convectiondiffusion boundary value problem on an adaptive grid IMA J. Numer. Anal. 19 1999 233 249
    • (1999) IMA J. Numer. Anal. , vol.19 , pp. 233-249
    • MacKenzie, J.1
  • 13
    • 33645767041 scopus 로고    scopus 로고
    • Uniform convergence analysis of finite difference approximations for singularly perturbation problems on an adapted grid
    • Y. Chen Uniform convergence analysis of finite difference approximations for singularly perturbation problems on an adapted grid Adv. Comput. Math. 24 2006 197 212
    • (2006) Adv. Comput. Math. , vol.24 , pp. 197-212
    • Chen, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.