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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)274-290
Journal / PublicationApplied Mathematics and Computation
Volume227
Online published4 Dec 2013
Publication statusPublished - 15 Jan 2014

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