Journal
ANZIAM JOURNAL
Volume 51, Issue 4, Pages 464-475Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S1446181110000830
Keywords
Chebyshev pseudo-spectral method; fractional-order integro-differential equations of Volterra type
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A Chebyshev pseudo-spectral method for solving numerically linear and nonlinear fractional-order integro-differential equations of Volterra type is considered. The fractional derivative is described in the Caputo sense. The suggested method reduces these types of equations to the solution of linear or nonlinear algebraic equations. Special attention is given to study the convergence of the proposed method. Finally, some numerical examples are provided to show that this method is computationally efficient, and a comparison is made with existing results.
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