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Extension of Newman’s Numerical Technique To Pentadiagonal Systems Of Equations

In: Electrochemical Cell Design

Author

Listed:
  • John Van Zee

    (Texas A&M University, Department of Chemical Engineering)

  • Greg Kleine

    (Texas A&M University, Department of Chemical Engineering)

  • Ralph E. White

    (Texas A&M University, Department of Chemical Engineering)

  • John Newman

    (University of California, Department of Chemical Engineering)

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).

Suggested Citation

  • John Van Zee & Greg Kleine & Ralph E. White & John Newman, 1984. "Extension of Newman’s Numerical Technique To Pentadiagonal Systems Of Equations," Springer Books, in: Ralph E. White (ed.), Electrochemical Cell Design, pages 377-389, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-2795-0_19
    DOI: 10.1007/978-1-4613-2795-0_19
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