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Cubic spline functions and initial value problems

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Abstract

A numerical process is presented which provides a cubic spline function approximation for the solution of initial value problems in ordinary differential equations. With interpolate cubic spline functions we can achieveO(h 4) convergence.

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References

  1. Ahlberg, Nilson, Walsh,The theory of splines and their applications, Acad. Press, New York, 1967.

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  2. T. N. Greville (ed.),Theory and applications of spline functions, Acad. Press, New York, 1969.

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Authors and Affiliations

  1. Department of Mathematics, University of Coimbra, Portugal

    Fernanda Patrício

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  1. Fernanda Patrício
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Patrício, F. Cubic spline functions and initial value problems. BIT 18, 342–347 (1978). https://doi.org/10.1007/BF01930903

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  • DOI: https://doi.org/10.1007/BF01930903

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