Modeling of biological population problems using the element-free kp-Ritz method

R. J. Cheng; L. W. Zhang; K. M. Liew

doi:10.1016/j.amc.2013.11.033

Author(s)

R. J. Cheng
L. W. Zhang
K. M. Liew

Detail(s)

Original language	English
Pages (from-to)	274-290
Journal / Publication	Applied Mathematics and Computation
Volume	227
Online published	4 Dec 2013
Publication status	Published - 15 Jan 2014

Link(s)

DOI	DOI https://doi.org/10.1016/j.amc.2013.11.033 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84889661530&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(7fcf5048-e8b9-4bbb-a96f-aee325b78f44).html

Abstract

A degenerate parabolic equation arising in the spatial diffusion of biological population is analyzed using the mesh-free kp-Ritz method. The mesh-free kernel particle estimate is employed to approximate the 2D displacement field. A system of discrete equations is obtained through application of the Ritz minimization procedure to the energy expressions. To validate the accuracy of the results and stability of the present method, convergence studies were carried out based on influences of support size and number of nodes. Effectiveness of the mesh-free kp-Ritz method for biological population model is investigated by numerical examples in this paper. The present results were compared with results reported in extant literature and were found to be in good agreement with the literature. © 2013 Elsevier B.V. All rights reserved.

Research Area(s)

Biological population equation, Element-free kp-Ritz method, Parabolic equation

Citation Format(s)

[ RIS ] [ BibTeX ]

Modeling of biological population problems using the element-free kp-Ritz method. / Cheng, R. J.; Zhang, L. W.; Liew, K. M.
In: Applied Mathematics and Computation, Vol. 227, 15.01.2014, p. 274-290.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Cheng, RJ, Zhang, LW & Liew, KM 2014, 'Modeling of biological population problems using the element-free kp-Ritz method', Applied Mathematics and Computation, vol. 227, pp. 274-290. https://doi.org/10.1016/j.amc.2013.11.033

Cheng, R. J., Zhang, L. W., & Liew, K. M. (2014). Modeling of biological population problems using the element-free kp-Ritz method. Applied Mathematics and Computation, 227, 274-290. https://doi.org/10.1016/j.amc.2013.11.033

Cheng RJ, Zhang LW, Liew KM. Modeling of biological population problems using the element-free kp-Ritz method. Applied Mathematics and Computation. 2014 Jan 15;227:274-290. Epub 2013 Dec 4. doi: 10.1016/j.amc.2013.11.033

Cheng, R. J. ; Zhang, L. W. ; Liew, K. M. / Modeling of biological population problems using the element-free kp-Ritz method. In: Applied Mathematics and Computation. 2014 ; Vol. 227. pp. 274-290.