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Original Articles

A New Fourth Order Cubic Spline Method for Non-Linear Two-Point Boundary Value Problems

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Pages 321-341 | Received 01 Sep 1986, Published online: 20 Mar 2007

References

  • Bickley , W. G. 1968 . Piecewise cubic interpolation and two-point boundary value problems . Comput. J. , 11 : 206 – 208 .
  • Lees , M. 1966 . “ Discrete methods for nonlinear two-point boundary value problems ” . In Numerical Solution of Parabolic Differential Equations , Edited by: Bramble , J. H. 59 – 72 . New York : Academic Press .
  • Numerov , B. V. 1924 . A method of extrapolation of perturbations . Roy. Ast. Soc. Monthly Notices , 84 : 592 – 601 .
  • Chawla , M. M. and Shivakumar , P. N. 1985 . Numérov's method for non-linear two-point boundary value problems . Intern. J. Computer Math. , 17 : 167 – 176 .
  • Fyfe , D. J. 1969 . The use of cubic splines in the solution of two point boundary value problems . Comput. J. , 12 : 188 – 192 .
  • Ahlberg , J. H. , Nilson , E. N. and Walsh , J. L. 1967 . The Theory of Splines and Their Applications , New York : Academic Press .
  • Henrici , P. 1962 . Discrete Variable Methods in Ordinary Differential Equations , New York : John Wiley .

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