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

John Van Zee, Greg Kleine, Ralph E. White and John Newman
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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

A chapter in Electrochemical Cell Design, 1984, pp 377-389 from Springer

Abstract: 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).

Keywords: Node Point; Field Variable; Tridiagonal Matrix; Order Ordinary Differential Equation; Finite Difference Technique (search for similar items in EconPapers)
Date: 1984
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DOI: 10.1007/978-1-4613-2795-0_19

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