J Austral Math Soc Ser B 36 pp26--37, 1994.

On the solution of a nonlinear problem in cell membrane theory

A. M. Arthurs and J. Clegg

(Received 21 September 1992; revised 2 July 1993)

Abstract

Methods for integral equations are used to derive upper and lower pointwise bounds for the solution of a nonlinear boundary value problem arising in the steady-state finite cable model of cell membranes. Test calculations are performed to illustrate the results and the accuracy achieved is significantly better than that obtained previously by other methods.

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Authors

A. M. Arthurs
J. Clegg
Department of Mathematics, University of York, England.

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