A Chebyshev pseudo spectral method for solving fractional differential equations
DOI:
https://doi.org/10.22199/issn.0717-6279-2020-03-0044Keywords:
Caputo derivative, Fractional differential equations, Chebyshev pseudo-spectral methodAbstract
The Chebyshev pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the Chebyshev pseudo-spectral differentiation matrix of fractional order is derived. Then, by using Chebyshev pseudo-spectral scheme, the problem is reduced to the solution of a system of algebraic equations.
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Copyright (c) 2020 AllahBakhsh Yazdani Cherati, Morteza Mohammadnezhad Kiasari
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