TITLE:
Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs
AUTHORS:
Amr M. S. Mahdy, N. A. H. Mukhtar
KEYWORDS:
Chebyshev Spectral Method, Riccati Differential Equation, Logistic Differential Equation, Multi-Order ODEs
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.4,
October
26,
2017
ABSTRACT: In this
paper, we build the integral collocation method by using the second shifted
Chebyshev polynomials. The numerical method solving the model non-linear such as Riccati differential
equation, Logistic differential equation and Multi-order ODEs. The properties
of shifted Chebyshev polynomials of the second kind are presented. The finite
difference method is used to solve this system of equations. Several numerical
examples are provided to confirm the reliability and effectiveness of the
proposed method.