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Volumn 172, Issue 1, 2006, Pages 531-544

A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives

Author keywords

Non uniform mesh; RMS errors; Singularity; Singularly perturbation; Tension spline

Indexed keywords

COMPUTATION THEORY; ERROR ANALYSIS; INTEGRATION; MATHEMATICAL MODELS; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

EID: 31144442666     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.02.023     Document Type: Article
Times cited : (29)

References (12)
  • 1
    • 0000030935 scopus 로고
    • Monotone difference schemes for singular perturbation problems
    • L. Abrahamson, and S. Osher Monotone difference schemes for singular perturbation problems SIAM. J. Numer. Anal. 19 1982 979 992
    • (1982) SIAM. J. Numer. Anal. , vol.19 , pp. 979-992
    • Abrahamson, L.1    Osher, S.2
  • 6
    • 9744222128 scopus 로고
    • Numerical methods for singular perturbation problems
    • B. Kreiss, and H.O. Kreiss Numerical methods for singular perturbation problems SIAM. J. Numer. Anal. 46 1982 138 165
    • (1982) SIAM. J. Numer. Anal. , vol.46 , pp. 138-165
    • Kreiss, B.1    Kreiss, H.O.2
  • 7
    • 21844487877 scopus 로고
    • On piecewise uniform meshes for upwind and central difference operators for solving singularly perturbed problems
    • J.J.H. Miller, E.O. Riordan, and G.I. Shishkin On piecewise uniform meshes for upwind and central difference operators for solving singularly perturbed problems IMA. J. Numer. Anal. 15 1995 89 99
    • (1995) IMA. J. Numer. Anal. , vol.15 , pp. 89-99
    • Miller, J.J.H.1    Riordan, E.O.2    Shishkin, G.I.3
  • 8
    • 27944479637 scopus 로고    scopus 로고
    • Convergent spline in tension methods for singularly perturbed two point singular boundary value problems
    • R.K. Mohanty, D.J. Evans, and U. Arora Convergent spline in tension methods for singularly perturbed two point singular boundary value problems Int. J. Comput. Math. 82 2005 55 66
    • (2005) Int. J. Comput. Math. , vol.82 , pp. 55-66
    • Mohanty, R.K.1    Evans, D.J.2    Arora, U.3
  • 9
    • 25644431898 scopus 로고    scopus 로고
    • A class of variable mesh spline in compression method for singularly perturbed two point singular boundary value problems
    • in press, doi: 10.1016/j.amc.2004.09.049.
    • R.K. Mohanty, N. Jha, A class of variable mesh spline in compression method for singularly perturbed two point singular boundary value problems, Appl. Math. Comput., in press, doi: 10.1016/j.amc.2004.09.049.
    • Appl. Math. Comput.
    • Mohanty, R.K.1    Jha, N.2
  • 12
    • 0002667410 scopus 로고
    • Properties of splines in tension
    • S. Pruess Properties of splines in tension J. Approx. Theory 17 1976 86 96
    • (1976) J. Approx. Theory , vol.17 , pp. 86-96
    • Pruess, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.