عنوان
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Application of the second-kind Chebyshev polynomials for the nonlinear age-structured population models
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Nonlinear age-structured population model, Second-kind Chebyshev polynomials, Operational matrix, Partial differential equations
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چکیده
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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.
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پژوهشگران
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ایرج محمدی (نفر سوم)، یداله اردوخانی (نفر دوم)، سمیه نعمتی (نفر اول)
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