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Ordinary and partial difference equations

Published online by Cambridge University Press:  17 February 2009

Renfrey B. Potts
Affiliation:
Department of Applied Mathematics, The University of Adelaide, Adelaide, South Australia, 5000
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Abstract

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Ordinary difference equations (OΔE's), mostly of order two and three, are derived for the trigonometric, Jacobian elliptic, and hyperbolic functions. The results are used to derive partial difference equations (PΔE's) for simple solutions of the wave equation and three nonlinear evolutionary partial differential equations.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1986