Keywords
- Newton Method
- Linear Algebraic Equation
- Fundamental Matrix
- Determine Equation
- Nonlinear Ordinary Differential Equation
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References
Clenshaw, C. W.: Chebyshev series for mathematical functions, National Physical Laboratory Mathematical Tables, Vol. 5, London (1962).
Clenshaw, C. W. and H. J. Norton: The solution of nonlinear ordinary differential equations in Chebyshev series. Comput. J., 6 (1963), 88–92.
Norton, H. J.: The iterative solution of non-linear ordinary differential equations in Chebyshev series. Comput. J., 7 (1964), 76–85.
Urabe, M.: An existence theorem for multi-point boundary value problems. Funkcial. Ekvac., 9 (1966), 43–60.
_____: Numerical solution of multi-point boundary value problems in Chebyshev series — Theory of the method. Numer. Math., 9 (1967), 341–366.
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
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