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Original Articles

Numerical integration of partial differential equations using cubic splines

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Pages 271-286 | Received 01 Apr 1982, Published online: 08 Jun 2010

References

  • Ahlberg , J. H. , Nilson , E. N. and Walsh , J. L. 1967 . The Theory of Splines and Their Application , Academic Press .
  • Rubin S. G. Graves R. A. Cubic spline approximation for problems in fluid mechanics NASA TR R-436 Washington, D.C. 1975
  • Rubin , G. S. and Khosla , P. K. 1976 . Higher order numerical solutions using cubic splines . Journal of the AIAA , 14 ( No. 7 ) 851 – 858 .
  • Heliums , J. D. and Churchill , S. W. 1962 . Transient and steady state, free and natural convection, numerical solutions: Part I, The isothermal vertical plate . A.I.Ch.E. Journal , 8 ( No. 7 ) 690 – 692 .
  • Mitchell , A. R. and Griffiths , D. F. 1980 . The Finite Difference Method in Partial Differential Equations , John Wiley and Sons .
  • Pu Wang and Kahawita , R. 1983 . A two-dimensional numerical model of estuarine circulation using cubic splines . Canadian Journal of Civil Engineering ,
  • Wang Pu Kahawita R. The Numerical Solution of Burgers’ Equation Using Splines in preparation

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