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Numerical treatment on digital computers for boundary value problem in ordinary differential equations of the type\(y'' = f(x,y,y')\)

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Abstract

This paper deals with the numerical solution of boundary value problems of the type:

$$y'' = f(x,y,y'); y(a) = A, y(b) = B.$$

In the case when the first derivative does not explicitly appear the problem has been faced by the author in [2], where a new approach has been suggested to improve the results given by the classical methods. In the following pages such an approach is extended to the above complete equation, and a new iterative algorithm is presented to solve the obtained discrete systems.

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References

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Authors and Affiliations

  1. Istituto di Calcoli Numerici dell'Università di Torino, Torino, Italy

    F. Lerda

Authors
  1. F. Lerda
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Additional information

This work has been done within the activity of the C.N.R. Research Groups on numerical analysis and automatic computation.

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Lerda, F. Numerical treatment on digital computers for boundary value problem in ordinary differential equations of the type\(y'' = f(x,y,y')\) . Calcolo 7, 339–377 (1970). https://doi.org/10.1007/BF02575605

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  • DOI: https://doi.org/10.1007/BF02575605

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