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2019 Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems
M.-A. Piqueras, R. Company, L. Jódar
Abstr. Appl. Anal. 2019: 1-7 (2019). DOI: 10.1155/2019/5787329

Abstract

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.

Citation

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M.-A. Piqueras. R. Company. L. Jódar. "Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems." Abstr. Appl. Anal. 2019 1 - 7, 2019. https://doi.org/10.1155/2019/5787329

Information

Received: 26 February 2019; Accepted: 9 June 2019; Published: 2019
First available in Project Euclid: 22 August 2019

zbMATH: 07095594
MathSciNet: MR3980960
Digital Object Identifier: 10.1155/2019/5787329

Rights: Copyright © 2019 Hindawi

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