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Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Department of Mathematics, Faculty of Science, Benghazi University, Benghazi, Libya
Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
- 1 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
- 2 Department of Mathematics, Faculty of Science, Benghazi University, Benghazi, Libya
- 3 Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
American Journal of Computational Mathematics·Volume 07 (2017)·Pages 391–401·Published 26 October 2017·DOI10.4236/ajcm.2017.74028
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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.
KeywordsChebyshev Spectral MethodRiccati Differential EquationLogistic Differential EquationMulti-Order ODEs
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