APPLICATION OF THE SECOND-KIND CHEBYSHEV POLYNOMIALS FOR THE NONLINEAR AGE-STRUCTURED POPULATION MODELS

作者：Nematii S^*; Ordokhani Y; Mohammadi I

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2015, 77(3): 155-166.

• Nonlinear age-structured population model
• Second-kind Chebyshev polynomials
• Operational matrix
• Partial differential equations

In this paper, we will introduce a method to find a numerical solution of nonlinear age-structured population model using second-kind Chebyshev polynomials. This method convert the nonlinear age-structured population models to an equivalent differential equation. We introduce two variable second-kind Chebyshev polynomials and their basic properties. These properties will be used to reduce the obtained differential equation to the solution of a system of nonlinear algebraic equations. Numerical examples show the accuracy and applicability of our method.

• 出版日期2015