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Open AccessArticle

On the Approximation of a Nonlinear Biological Population Model Using Localized Radial Basis Function Method

Department of Basic Sciences, University of Engineering and Technology, Peshawar 25000, Pakistan
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Math. Comput. Appl. 2019, 24(2), 54; https://doi.org/10.3390/mca24020054
Received: 11 April 2019 / Revised: 9 May 2019 / Accepted: 21 May 2019 / Published: 23 May 2019
A localized radial basis function meshless method is applied to approximate a nonlinear biological population model with highly satisfactory results. The method approximates the derivatives at every point corresponding to their local support domain. The method is well suited for arbitrary domains. Compared to the finite element and element free Galerkin methods, no integration tool is required. Four examples are demonstrated to check the efficiency and accuracy of the method. The results are compared with an exact solution and other methods available in literature. View Full-Text
Keywords: local RBF; biological population model; RK4 method; multi-quadric RBF local RBF; biological population model; RK4 method; multi-quadric RBF
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Uddin, M.; Ali, H.; Taufiq, M. On the Approximation of a Nonlinear Biological Population Model Using Localized Radial Basis Function Method. Math. Comput. Appl. 2019, 24, 54.

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