Piecewise linear approximation to Fisher's equation

Authors

  • Zlatko Jovanoski University of New South Wales --Canberra
  • G. Robinson School of Physical, Environmental and Mathematical Sciences, University of New South Wales, Canberra~2600

DOI:

https://doi.org/10.21914/anziamj.v53i0.5129

Keywords:

ordinary differential equation, modelling, approximation

Abstract

A simple method is presented which allows the replacement of a nonlinear differential equation with a piecewise linear differential equation. The method is based on the idea that a curve of the nonlinear terms of the dependent variable in a differential equation can be replaced by an approximate curve consisting of a set of line segments tangent to the original curve. We apply this method to the ubiquitous Fisher's equation and demonstrate that accurate solutions are obtained with a relatively small number of line segments. References
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Author Biography

Zlatko Jovanoski, University of New South Wales --Canberra

Senior Lecturer School of Physical, Environmental and Mathematical Sciences

Published

2012-08-05

Issue

Section

Proceedings Engineering Mathematics and Applications Conference