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Khader, M.M., Mahdy, A.M.S. and Shehata, M.M. (2014) An Integral Collocation Approach Based on Legender Polynomials for Solving Riccati, Logistic and Delay Differential Equations. Applied Mathematics, 5, 2360-2369.
https://doi.org/10.4236/am.2014.515228

has been cited by the following article:

• 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.