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Volumn 202, Issue 2, 2007, Pages 203-216

A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term

Author keywords

Discontinuous source term; Finite difference scheme; Second order ordinary differential equation; Shishkin mesh; Singular perturbation problem; Weakly coupled system

Indexed keywords

ERROR ANALYSIS; FINITE DIFFERENCE METHOD; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 33847049429     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.02.025     Document Type: Article
Times cited : (42)

References (12)
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    • T. Linß, N. Maddan, A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations, Appl. Math. Comput. 148 (3) (2004) 869-880.
  • 3
    • 33847024311 scopus 로고    scopus 로고
    • T. Linß, N. Maddan, A robust difference scheme for a system of coupled singularly perturbed reaction-diffusion equations, Preprint MATH-NM-12-2002, Technische Universitat Dresden.
  • 4
    • 7544224313 scopus 로고    scopus 로고
    • An improved error estimate for a numerical method for a system of coupled singularly perturbed reaction-diffusion equations
    • Linß T., and Maddan N. An improved error estimate for a numerical method for a system of coupled singularly perturbed reaction-diffusion equations. Comput. Methods Appl. Math. 3 (2003) 417-423
    • (2003) Comput. Methods Appl. Math. , vol.3 , pp. 417-423
    • Linß, T.1    Maddan, N.2
  • 5
    • 0142230871 scopus 로고    scopus 로고
    • N. Madden, M. Stynes, A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems, IMA. J. Numer. Anal. 23 (4) (2003) 627-644.
  • 6
    • 33847041431 scopus 로고    scopus 로고
    • S. Matthews, Parameter robust numerical methods for a system of two coupled singularly perturbed reaction-diffusion equations, Master Thesis, School of Mathematical Sciences, Dublin City University, 2000.
  • 7
    • 0036682193 scopus 로고    scopus 로고
    • A numerical method for a system of singularly perturbed reaction-diffusion equations
    • Matthews S., O'Riordan E., and Shishkin G.I. A numerical method for a system of singularly perturbed reaction-diffusion equations. J. Comput. Appl. Math 145 (2002) 151-166
    • (2002) J. Comput. Appl. Math , vol.145 , pp. 151-166
    • Matthews, S.1    O'Riordan, E.2    Shishkin, G.I.3
  • 8
    • 0034514150 scopus 로고    scopus 로고
    • A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer
    • Miller J.J.H., O'Riordan E., Shishkin G.I., and Wang S. A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer. Appl. Numer. Math. 35 (2000) 323-337
    • (2000) Appl. Numer. Math. , vol.35 , pp. 323-337
    • Miller, J.J.H.1    O'Riordan, E.2    Shishkin, G.I.3    Wang, S.4
  • 11
    • 0141639668 scopus 로고    scopus 로고
    • Asymptotic numerical method for singularly perturbed fourth order ordinary differential equations of reaction-diffusion type
    • Shanthi V., and Ramanujam N. Asymptotic numerical method for singularly perturbed fourth order ordinary differential equations of reaction-diffusion type. J. Comput. Math. Appl. 46 (2003) 463-478
    • (2003) J. Comput. Math. Appl. , vol.46 , pp. 463-478
    • Shanthi, V.1    Ramanujam, N.2
  • 12
    • 0037054964 scopus 로고    scopus 로고
    • A Numerical method for boundary value problems for singularly perturbed fourth order ordinary differential equations
    • Shanthi V., and Ramanujam N. A Numerical method for boundary value problems for singularly perturbed fourth order ordinary differential equations. J. Appl. Math. Comput. 129 (2002) 269-294
    • (2002) J. Appl. Math. Comput. , vol.129 , pp. 269-294
    • Shanthi, V.1    Ramanujam, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.