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

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. Clenshaw, C. W.: Chebyshev series for mathematical functions, National Physical Laboratory Mathematical Tables, Vol. 5, London (1962).

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  2. Clenshaw, C. W. and H. J. Norton: The solution of nonlinear ordinary differential equations in Chebyshev series. Comput. J., 6 (1963), 88–92.

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  3. Norton, H. J.: The iterative solution of non-linear ordinary differential equations in Chebyshev series. Comput. J., 7 (1964), 76–85.

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  4. Urabe, M.: An existence theorem for multi-point boundary value problems. Funkcial. Ekvac., 9 (1966), 43–60.

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  5. _____: Numerical solution of multi-point boundary value problems in Chebyshev series — Theory of the method. Numer. Math., 9 (1967), 341–366.

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  6. Urabe, M. and A. Reiter: Numerical computation of nonlinear forced oscillations by Galerkin's procedure, J. Math. Anal. Appl., 14 (1966), 107–140.

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© 1969 Springer-Verlag

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Urabe, M. (1969). Numerical solution of boundary value problems in Chebyshev series — A method of computation and error estimation. In: Morris, J.L. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060016

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  • DOI: https://doi.org/10.1007/BFb0060016

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04628-8

  • Online ISBN: 978-3-540-36158-9

  • eBook Packages: Springer Book Archive