Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials

被引：38
|
作者：
Yousefi, S. A. [2 ]
Behroozifar, M. [3 ]
Dehghan, Mehdi [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran
[2] Shahid Beheshti Univ, Dept Math, GC, Tehran, Iran
[3] Babol Univ Technol, Fac Basic Sci, Babol Sar, Mazandaran, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 03期
关键词：
Age-structure population model; Bernstein polynomials; Operational matrices; Mathematical biology; WAVE-EQUATION SUBJECT; GALERKIN METHODS; EPIDEMIC MODEL; DIFFUSION; APPROXIMATION; INTEGRATION; DYNAMICS; BEHAVIOR;
D O I：
10.1016/j.apm.2011.07.041
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper a numerical method for solving the nonlinear age-structured population models is presented which is based on Bernstein polynomials approximation. Operational matrices of integration, differentiation, dual and product are introduced and are utilized to reduce the age-structured population problem to the solution of algebraic equations. The method in general is easy to implement, and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique. (C) 2011 Elsevier Inc. All rights reserved.
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页码：945 / 963
页数：19
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