Stability Preserving Finite Difference Scheme for Growth Model
DOI:
https://doi.org/10.11145/499Abstract
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.Downloads
Published
2015-05-08
Issue
Section
Conference Contributions
License
The journal Biomath Communications is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
