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A note on the numerical solution of a periodic parabolic problem

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Abstract

A direct method is presented for the numerical determination of solutions of the heat conduction equation having periodT in time. A simple error analysis which improves previous results is given.

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References

  1. Tee, G. J.: An Application ofp-cyclic Matrices. Num. Math.6, 143–158 (1964).

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  2. Bickley, W. S., andJ. McNamee: Matrix and other Direct Methods for the Solution of Systems of Linear Difference Equations. Phil. Trans. 1005,252, 69–131 (1960).

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  3. Collatz, L.: The Numerical Treatment of Differential Equations. Berlin-Göttingen-Heidelberg: Springer 1959.

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Authors and Affiliations

  1. Computer Unit, Edinburgh University, 7 Buccleuch Place, Edinburgh 8, (Scotland)

    M. R. Osborne

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  1. M. R. Osborne
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Osborne, M.R. A note on the numerical solution of a periodic parabolic problem. Numer. Math. 7, 155–158 (1965). https://doi.org/10.1007/BF01397688

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  • DOI: https://doi.org/10.1007/BF01397688

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