메뉴 건너뛰기




Volumn 192, Issue 1, 2006, Pages 132-141

An efficient numerical method for singular perturbation problems

Author keywords

Adaptive single step exponential method; Asymptotic approximation; Exponentially fitted difference scheme; Singularly perturbed differential equations

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 33646088987     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.04.042     Document Type: Article
Times cited : (70)

References (13)
  • 6
    • 0001113796 scopus 로고    scopus 로고
    • A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
    • Natesan S., and Ramanujam N. A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers. Appl. Math. Comput. 93 (1998) 259-275
    • (1998) Appl. Math. Comput. , vol.93 , pp. 259-275
    • Natesan, S.1    Ramanujam, N.2
  • 7
    • 0037114114 scopus 로고    scopus 로고
    • "Shooting method" for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer
    • Natesan S., and Ramanujam N. "Shooting method" for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer. Appl. Math. Comput. 133 (2002) 623-641
    • (2002) Appl. Math. Comput. , vol.133 , pp. 623-641
    • Natesan, S.1    Ramanujam, N.2
  • 8
    • 0037284594 scopus 로고    scopus 로고
    • A numerical algorithm for singular perturbation problems exhibiting weak boundary layers
    • Natesan S., Vigo-Aguiar J., and Ramanujam N. A numerical algorithm for singular perturbation problems exhibiting weak boundary layers. Comput. Math. Appl. 45 (2003) 469-479
    • (2003) Comput. Math. Appl. , vol.45 , pp. 469-479
    • Natesan, S.1    Vigo-Aguiar, J.2    Ramanujam, N.3
  • 9
    • 0020148074 scopus 로고
    • A boundary-value technique for singular perturbation problems
    • Roberts S.M. A boundary-value technique for singular perturbation problems. J. Math. Anal. Appl. 87 (1979) 489-508
    • (1979) J. Math. Anal. Appl. , vol.87 , pp. 489-508
    • Roberts, S.M.1
  • 11
    • 0347357926 scopus 로고    scopus 로고
    • A general procedure for the adaptation of multistep algorithms to the integration of oscillatory problems
    • Vigo-Aguiar J., and Ferrándiz J.M. A general procedure for the adaptation of multistep algorithms to the integration of oscillatory problems. SIAM J. Numer. Anal. 35 4 (1998) 1684-1708
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.4 , pp. 1684-1708
    • Vigo-Aguiar, J.1    Ferrándiz, J.M.2
  • 12
    • 0742307481 scopus 로고    scopus 로고
    • A parallel boundary-value technique for singularly perturbed two-point boundary-value problems
    • Vigo-Aguiar J., and Natesan S. A parallel boundary-value technique for singularly perturbed two-point boundary-value problems. J. Super Computing 27 2 (2004) 195-206
    • (2004) J. Super Computing , vol.27 , Issue.2 , pp. 195-206
    • Vigo-Aguiar, J.1    Natesan, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.