AN OPERATIONAL METHOD BASED ON THE FIRST TYPE SHIFTED CHEBYSHEV POLYNOMIALS FOR SOLVİNG NONLINEAR LANE-EMDEN TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS
3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Turkey, 20 - 23 July 2022, pp.359-367, (Full Text)
- Publication Type: Conference Paper / Full Text
- City: Konya
- Country: Turkey
- Page Numbers: pp.359-367
- Akdeniz University Affiliated: Yes
Abstract
The basic focus of our study is to propose an influential matrix method to find the numerical
solution of the nonlinear Lane-Emden-type functional differential equation (LEFDE). This method based
on the first type shifted Chebyshev polynomials transforms the problem into an algebraic matrix equation
by using operational matrices and the Tau method. In addition, three test examples are presented for
applicability of the proposed method. The application of the method and the graphics are obtained by using
MATLAB.