摘要
基于Shifted Legendre多项式研究非线性年龄结构种群模型的数值解问题.定义了在区间[0,A]×[0,T]上函数的Shifted Legendre逼近多项式,通过Shifted Legendre算子矩阵结合Tau方法,把求解非线性年龄结构种群模型的数值解问题转化成非线性代数方程的求解问题.数值算例的结果显示该算法有效.
In this paper, a numerical method for solving the nonlinear age-structured pop- ulation models is presented which is based on Shifted Legendre polynomials approximation. We define the Shifted Legendre polynomials to approximate the function on the interval [0, A] ×[0, T]. These operational matrices combine with Tau method to transform numeri- cal solution of the nonlinear age-structured population models problem to solve systems of nonlinear algebraic equations. The results of the numerical example shows the efficiency of the algorithms.
出处
《数学的实践与认识》
北大核心
2015年第20期166-173,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11461053
11261043)
