Abstract
A finite difference technique accurate to 0(h4) for a set of coupled, nonlinear second-order ordinary differential equations is presented. It consists of extending Newman’s technique for coupled, tridiagonal equations to a set of coupled pentadiagonal equations. The method can be used to reduce the number of node points needed for a given accuracy or to maintain accuracy to 0(h2) for boundary value problems that include multiple interior regions with continuity of flux of field variables from one region to the next (i.e., interior boundary points with derivative boundary conditions).
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© 1984 Plenum Press, New York
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Van Zee, J., Kleine, G., White, R.E., Newman, J. (1984). Extension of Newman’s Numerical Technique To Pentadiagonal Systems Of Equations. In: White, R.E. (eds) Electrochemical Cell Design. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2795-0_19
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DOI: https://doi.org/10.1007/978-1-4613-2795-0_19
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9723-9
Online ISBN: 978-1-4613-2795-0
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