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Somayeh Nemati

Somayeh Nemati

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302419

Research

Title
Application of the second-kind Chebyshev polynomials for the nonlinear age-structured population models
Type
JournalPaper
Keywords
Nonlinear age-structured population model, Second-kind Chebyshev polynomials, Operational matrix, Partial differential equations
Year
2015
Journal University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics
DOI
Researchers Somayeh Nemati ، Yadollah Ordokhani ، Iraj Mohammadi

Abstract

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.