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Volumn 168, Issue 1, 2005, Pages 704-716

A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems

Author keywords

RMS errors; Singular perturbation; Singular problem; Spline in compression; Variable mesh

Indexed keywords

ERROR ANALYSIS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SPLINES;

EID: 25644431898     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.09.049     Document Type: Article
Times cited : (40)

References (12)
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    • 25644433879 scopus 로고    scopus 로고
    • Spline in compression method for the numerical solution of singularly perturbed two point singular boundary value problems
    • R.K. Mohanty, N. Jha, and D.J. Evans Spline in compression method for the numerical solution of singularly perturbed two point singular boundary value problems Int. J. Comput. Math. 81 2004 615 627
    • (2004) Int. J. Comput. Math. , vol.81 , pp. 615-627
    • Mohanty, R.K.1    Jha, N.2    Evans, D.J.3
  • 2
    • 0004590132 scopus 로고
    • A first order accuracy scheme on non-uniform mesh
    • M. Stojanovic A first order accuracy scheme on non-uniform mesh Publ. De L'Institut. Math. 42 1987 155 165
    • (1987) Publ. de l'Institut. Math. , vol.42 , pp. 155-165
    • Stojanovic, M.1
  • 3
    • 0018682783 scopus 로고
    • Spline function approximation in discrete mechanics
    • M.K. Jain Spline function approximation in discrete mechanics Int. J. Non-linear Mech. 14 1979 341 345
    • (1979) Int. J. Non-linear Mech. , vol.14 , pp. 341-345
    • Jain, M.K.1
  • 4
    • 0034946635 scopus 로고    scopus 로고
    • Numerical solution of singularly perturbed two point boundary value problems by spline in compression
    • M.K. Kadalbajoo, and K.C. Patidar Numerical solution of singularly perturbed two point boundary value problems by spline in compression Int. J. Comput. Math. 77 2001 263 283
    • (2001) Int. J. Comput. Math. , vol.77 , pp. 263-283
    • Kadalbajoo, M.K.1    Patidar, K.C.2
  • 5
    • 84966222510 scopus 로고
    • An analysis of a uniformly accurate difference method for a singular perturbation problem
    • A.E. Berger, J.M. Solomon, and M. Ciment An analysis of a uniformly accurate difference method for a singular perturbation problem Math. Camp. 37 1981 79 94
    • (1981) Math. Camp. , vol.37 , pp. 79-94
    • Berger, A.E.1    Solomon, J.M.2    Ciment, M.3
  • 6
    • 1842707147 scopus 로고
    • Differencing scheme for a differential equation with a small parameter affecting the highest derivative
    • A.M. Il'in Differencing scheme for a differential equation with a small parameter affecting the highest derivative Math. Notes 6 1969 596 602
    • (1969) Math. Notes , vol.6 , pp. 596-602
    • Il'In, A.M.1
  • 7
    • 84966216257 scopus 로고
    • Analysis of some difference approximations for a singular perturbation problem without turning points
    • R.B. Kellog, and A. Tsan Analysis of some difference approximations for a singular perturbation problem without turning points Math. Comp. 32 1978 1025 1039
    • (1978) Math. Comp. , vol.32 , pp. 1025-1039
    • Kellog, R.B.1    Tsan, A.2
  • 9
    • 0003051381 scopus 로고
    • Numerical methods for singular perturbation problems
    • B. Kreiss, and H.O. Kreiss Numerical methods for singular perturbation problems SIAM. J. Numer. Anal. 18 1981 262 276
    • (1981) SIAM. J. Numer. Anal. , vol.18 , pp. 262-276
    • Kreiss, B.1    Kreiss, H.O.2
  • 11
    • 0003943048 scopus 로고
    • Prentice-Hall Inc. Englewood Cliffs, New Jersey
    • R.S. Verga Matrix Iterative Analysis 1962 Prentice-Hall Inc. Englewood Cliffs, New Jersey
    • (1962) Matrix Iterative Analysis
    • Verga, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.