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Numerical solution of boundary value problems in Chebyshev series — A method of computation and error estimation

  • Minoru Urabe
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 109)

Keywords

Newton Method Linear Algebraic Equation Fundamental Matrix Determine Equation Nonlinear Ordinary Differential Equation 
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References

  1. [1]
    Clenshaw, C. W.: Chebyshev series for mathematical functions, National Physical Laboratory Mathematical Tables, Vol. 5, London (1962).Google Scholar
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    Clenshaw, C. W. and H. J. Norton: The solution of nonlinear ordinary differential equations in Chebyshev series. Comput. J., 6 (1963), 88–92.MathSciNetCrossRefzbMATHGoogle Scholar
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    Norton, H. J.: The iterative solution of non-linear ordinary differential equations in Chebyshev series. Comput. J., 7 (1964), 76–85.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Urabe, M.: An existence theorem for multi-point boundary value problems. Funkcial. Ekvac., 9 (1966), 43–60.MathSciNetzbMATHGoogle Scholar
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    _____: Numerical solution of multi-point boundary value problems in Chebyshev series — Theory of the method. Numer. Math., 9 (1967), 341–366.MathSciNetCrossRefzbMATHGoogle Scholar
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    Urabe, M. and A. Reiter: Numerical computation of nonlinear forced oscillations by Galerkin's procedure, J. Math. Anal. Appl., 14 (1966), 107–140.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • Minoru Urabe

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