期刊
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
卷 8, 期 4, 页码 -出版社
ASME
DOI: 10.1115/1.4024852
关键词
fractional delay differential equations; Caputo fractional derivatives; Laguerre polynomials; spectral collocation method; error analysis
In this paper, an efficient numerical method for solving the fractional delay differential equations (FDDEs) is considered. The fractional derivative is described in the Caputo sense. The proposed method is based on the derived approximate formula of the Laguerre polynomials. The properties of Laguerre polynomials are utilized to reduce FDDEs to a linear or nonlinear system of algebraic equations. Special attention is given to study the error and the convergence analysis of the proposed method. Several numerical examples are provided to confirm that the proposed method is in excellent agreement with the exact solution.
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