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Volumn 188, Issue 1, 2007, Pages 353-364

A Robust computational method for singularly perturbed coupled system of reaction-diffusion boundary-value problems

Author keywords

Boundary layers; Cubic spline; Piecewise uniform Shishkin mesh; Singular perturbation problem; Uniform convergent

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MESH GENERATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 34247633049     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.09.120     Document Type: Article
Times cited : (21)

References (12)
  • 1
    • 25144503434 scopus 로고    scopus 로고
    • Uniformly convergent computational technique for singularly perturbed self-adjoint mixed boundary-value problems
    • Bawa R.B., and Natesan S. Uniformly convergent computational technique for singularly perturbed self-adjoint mixed boundary-value problems. Lect. Notes Comput. Sci. 3516 (2005) 1104-1107
    • (2005) Lect. Notes Comput. Sci. , vol.3516 , pp. 1104-1107
    • Bawa, R.B.1    Natesan, S.2
  • 2
    • 28844497244 scopus 로고    scopus 로고
    • A computational method for self-adjoint singular perturbation problems using quintic spline
    • Bawa R.K., and Natesan S. A computational method for self-adjoint singular perturbation problems using quintic spline. Comput. Math. Appl. 50 (2005) 1371-1382
    • (2005) Comput. Math. Appl. , Issue.50 , pp. 1371-1382
    • Bawa, R.K.1    Natesan, S.2
  • 4
    • 0030501331 scopus 로고    scopus 로고
    • Variable mesh difference scheme for singularly perturbed boundary value problems using splines
    • Kadalbajoo M.K., and Bawa R.K. Variable mesh difference scheme for singularly perturbed boundary value problems using splines. J. Optim. Theory Appl. 9 (1996) 405-416
    • (1996) J. Optim. Theory Appl. , vol.9 , pp. 405-416
    • Kadalbajoo, M.K.1    Bawa, R.K.2
  • 5
    • 7544223623 scopus 로고    scopus 로고
    • Accurate solution of a system of coupled singularly perturbed reaction-diffusion equations
    • Linß T., and Madden N. Accurate solution of a system of coupled singularly perturbed reaction-diffusion equations. Computing 73 (2004) 121-133
    • (2004) Computing , vol.73 , pp. 121-133
    • Linß, T.1    Madden, N.2
  • 6
    • 0142230871 scopus 로고    scopus 로고
    • A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems
    • Madden N., and Stynes M. A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. IMA J. Numer. Anal. 23 (2003) 627-644
    • (2003) IMA J. Numer. Anal. , vol.23 , pp. 627-644
    • Madden, N.1    Stynes, M.2
  • 7
    • 0036682193 scopus 로고    scopus 로고
    • A numerical method for a system of singularly perturbed reaction-diffusion equations
    • Matthwes 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
    • Matthwes, S.1    O'Riordan, E.2    Shishkin, G.I.3
  • 10
    • 28844504374 scopus 로고    scopus 로고
    • Improvement of numerical solution of self-adjoint singular perturbation problems by incorporation of asymptotic approximations
    • Natesan S., and Ramanujam N. Improvement of numerical solution of self-adjoint singular perturbation problems by incorporation of asymptotic approximations. Appl. Math. Comput. 98 (1999) 119-137
    • (1999) Appl. Math. Comput. , vol.98 , pp. 119-137
    • Natesan, S.1    Ramanujam, N.2
  • 11
    • 22044433064 scopus 로고    scopus 로고
    • Layer-adapted grids for singular perturbation problems
    • Roos H.-G. Layer-adapted grids for singular perturbation problems. Z. Angew. Math. Mech. 78 (1998) 291-309
    • (1998) Z. Angew. Math. Mech. , vol.78 , pp. 291-309
    • Roos, H.-G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.