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Two Numerical Approaches for Solving Fractional Model of Chemical Kinetics Problem via Chebyshev Polynomials |
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PP: 601-613 |
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doi:10.18576/pfda/100407
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Author(s) |
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Lakhlifa Sadek,
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Abstract |
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| We give two new approaches for solving the order fractional model of the Chemical Kinetics (CK). The approaches (Chebyshev collocation (CC) method and the Chebyshev Galerkin (CG) method) are constituted of the Chebyshev polynomials, Galerkin method, and the collocation method where these techniques are to convert the system of differential equations into a system of algebraic equations which can be solved easily. Also, we study the error analysis for the methods. This manuscript is expected to contribute to the vast advantage of chemical science. A complete agreement is achieved between our new methods. Moreover, We also checked the stability of the proposed methods.
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