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BIT Numerical Mathematics

, Volume 2, Issue 1, pp 61–64 | Cite as

Note on the solution of a certain boundary-value problem

Article

Abstract

A simple algorithm is described for inverting the operatorDxDy (Dx andDy here and subsequently denote partial differentiation with respect tox andy respectively) which occurs in the iterative solution of the equationDxDyf (x, y)=g (x, y, f, Dxf, Dx2f,DxDyf, Dy2f) when boundary values off(x,y) are given along the sides of the rectangle in thexy-plane whose corners are at the points (a,b); (a+(n+1)k,b); (a+(n+1)k,b+(n+1)h); (a,b+(n+1)h).

Keywords

Computational Mathematic Simple Algorithm Partial Differentiation Iterative Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Buckingham, R. A.,Numerical Methods, Pitman, London 1957, ch. 15, p. 503.Google Scholar
  2. 2.
    Wynn, P.,Acceleration Techniques for Iterated Vector and Matrix Problems, Maths. of Comp., to appear.Google Scholar

Copyright information

© BIT Foundations 1962

Authors and Affiliations

  • P. Wynn
    • 1
  1. 1.Mathematisch CentrumAmsterdamThe Netherlands

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