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Spectral collocation method for nonlinear Caputo fractional differential system
Advances in Computational Mathematics ( IF 1.7 ) Pub Date : 2020-07-29 , DOI: 10.1007/s10444-020-09808-9
Zhendong Gu

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.

中文翻译:

非线性Caputo分数微分系统的谱配置方法。

提出了一种频谱搭配方法来解决非线性Caputo分数阶微分系统。主要思想是求解弱奇异非线性Volterra积分方程(VIE)的对应系统。矩阵形式的收敛性分析表明,该方法具有频谱收敛性。进行数值实验以证实理论结果。
更新日期:2020-07-29
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