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Spectral collocation method for nonlinear Caputo fractional differential system

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Abstract

A spectral collocation method is developed to solve a nonlinear Caputo fractional differential system. The main idea is to solve the corresponding system of weakly singular nonlinear Volterra integral equations (VIEs). The convergence analysis in matrix form shows that the presented method has spectral convergence. Numerical experiments are carried out to confirm theoretical results.

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Funding

This work is supported by the Natural Science Foundation of Guangdong Province of China (2017A030310636, 2018A030313236), the Opening Project of Guangdong High Performance Computing Society (2017060104), and the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University (2016001).

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  1. School of Financial Mathematics and Statistic, Guangdong University of Finance, Guangzhou, 510521, China

    Zhendong Gu

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  1. Zhendong Gu
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Correspondence to Zhendong Gu.

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Communicated by: Martin Stynes

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Gu, Z. Spectral collocation method for nonlinear Caputo fractional differential system. Adv Comput Math 46, 66 (2020). https://doi.org/10.1007/s10444-020-09808-9

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