Stability Preserving Finite Difference Scheme for Growth Model

Authors

  • Phumezile Kama

DOI:

https://doi.org/10.11145/499

Abstract

In this paper we design and analyse stability-preserving nonstandard finite difference schemes based on the theta-methods. The non-standard schemes were found to preserve the stability properties of the growth equation while the standard schemes and schemes with conventional denominator function exhibit a considerable level of numerical instability. Their elementary stability is established theoretically and is also supported byВ  numerical examples.

Author Biography

Phumezile Kama

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Published

2015-05-08

Issue

Section

Conference Contributions