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数学学院、所系列学术报告(753场):哈尔滨工业大学数学学院 赵景军教授

发表于: 2018-03-09 15:36  点击:

题 目:Fourier collocation methods for solving fractional ordinary differential equations  
报 告 人:哈尔滨工业大学数学学院 赵景军教授

时 间:2018316日 上午9:00
地 点:数学楼一楼报告厅
要:In this paper, we consider the construction of a new fractional collocation method. The method is based on the idea of trigonometric Fourier collocation methods proposed by the authors [B. Wang, A. Iserles and X. Wu, Found. Comput. Math., 16 (2016): 151-181]. For the nonlinear fractional ordinary differential equation, we present high accuracy Fourier collocation method by considering the equivalent Volterra type integral equation. We also provide the error estimate and stability analysis. For the fractional differential equation with a forcing term, we present a kind of Mittag-Leffler Fourier collocation method by using the variation-of-constants formula with a generalized Mittag-Leffler function in the kernel and give the error analysis. Numerical experiments demonstrate the effectiveness of these methods.