Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems
Joint Authors
Company, R.
Piqueras, M.-A.
Jódar, Lucas
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper deals with solving numerically partial integrodifferential equations appearing in biological dynamics models when nonlocal interaction phenomenon is considered.
An explicit finite difference scheme is proposed to get a numerical solution preserving qualitative properties of the solution.
Gauss quadrature rules are used for the computation of the integral part of the equation taking advantage of its accuracy and low computational cost.
Numerical analysis including consistency, stability, and positivity is included as well as numerical examples illustrating the efficiency of the proposed method.
American Psychological Association (APA)
Piqueras, M.-A.& Company, R.& Jódar, Lucas. 2019. Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems. Abstract and Applied Analysis،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1114485
Modern Language Association (MLA)
Piqueras, M.-A.…[et al.]. Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems. Abstract and Applied Analysis No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1114485
American Medical Association (AMA)
Piqueras, M.-A.& Company, R.& Jódar, Lucas. Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems. Abstract and Applied Analysis. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1114485
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114485