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Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs

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Document pages: 11 pages

Abstract: In thispaper, we build the integral collocation method by using the second shiftedChebyshev polynomials. The numerical method solving the model non-linear such as Riccati differentialequation, Logistic differential equation and Multi-order ODEs. The propertiesof shifted Chebyshev polynomials of the second kind are presented. The finitedifference method is used to solve this system of equations. Several numericalexamples are provided to confirm the reliability and effectiveness of theproposed method.

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