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Original Articles

High accuracy quintic spline solution of fourth order two-point boundary value problems

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Pages 87-94 | Received 02 Nov 1988, Published online: 19 Mar 2007

References

  • Ahlberg , J. H. , Nilson , E. N. and Walsh , J. L. 1967 . The Theory of Splines and Their Applications , New York : Academic Press .
  • Chawla , M. M. and Subramanian , R. 1987 . A new fourth order cubic spline method for non-linear two-point boundary value problems . Intern. J. Computer Math. , 22 : 321 – 341 .
  • Greville , T. N. E. . Theory and Applications of Spline Functions . Introduction to spline functions . New York : Academic Press . (Proceedings of Seminar, Math. Research Centre, Univ. of Wisconsin, Madison, WI, 1968, pp. 1-35)
  • Katti , C. P. 1980 . Five-diagonal sixth order methods for two-point boundary value problems involving fourth order differential equations . Math. Comput. , 35 : 1177 – 1179 .
  • Russell , R. D. and Shampine , L. F. 1972 . A collection method for boundary value problems . Numer. Math. , 19 : 1 – 28 .
  • Usmani , R. A. 1978 . Discrete variable methods for a boundary value problem with engineering applications . Math. Comput. , 32 : 1087 – 1096 .
  • Usmani , R. A. 1979 . Discrete methods for boundary value problems with applications in plate deflection theory . J. Appl. Maths. Phys. , 30 : 87 – 99 . ZAMP
  • Usmani , R. A. 1980 . Smooth spline approximations for the solution of a boundary value problem with engineering applications . J. Comput. Appl. Math. , 6 : 93 – 98 .

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