A Chebyshev pseudo spectral method for solving fractional differential equations

Abstract: 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. T...

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Autores principales: Yazdani,AllahBakhsh, Kiasari,Morteza Mohammadnezhad
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300711
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Sumario:Abstract: 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.