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Structure Preserving Numerical Analysis of Reaction-Diffusion Models.
- Source :
-
Journal of Function Spaces . 3/20/2022, p1-18. 18p. - Publication Year :
- 2022
-
Abstract
- In this paper, we examine two structure preserving numerical finite difference methods for solving the various reaction-diffusion models in one dimension, appearing in chemistry and biology. These are the finite difference methods in splitting environment, namely, operator splitting nonstandard finite difference (OS-NSFD) methods that effectively deal with nonlinearity in the models and computationally efficient. Positivity of both the proposed splitting methods is proved mathematically and verified with the simulations. A comparison is made between proposed OS-NSFD methods and well-known classical operator splitting finite difference (OS-FD) methods, which demonstrates the advantages of proposed methods. Furthermore, we applied proposed NSFD splitting methods on several numerical examples to validate all the attributes of the proposed numerical designs. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMERICAL analysis
*FINITE differences
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 155845879
- Full Text :
- https://doi.org/10.1155/2022/5128343