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所属单位：数学学院

发表刊物：Numerical Algorithms

关键字：Space fractional BBM equation; Chebyshev-Legendre spectral scheme; Stability and convergence analysis; Inverse problem analysis; Bayesian method

摘要：In the paper, a space fractional Benjamin-Bona-Mahony (BBM) equation is proposed. For the direct problem, we develop the Chebyshev-Legendre spectral scheme for the proposed equation. The given approach is based on Legendre Galerkin formulation while the Chebyshev-Gauss-Lobatto (CGL) nodes are used in the computation. By using the presented method, the computational complexity is reduced and both accuracy and efficiency are achieved compared with the Legendre spectral method. Stability and convergence analysis of the numerical method are proven. For the inverse problem, the Bayesian method is developed to estimate some relevant parameters based on the spectral format of the direct problem. The convergence analysis on the Kullback-Leibler distance between the true posterior distribution and the approximation is derived. Some numerical experiments are included to demonstrate the theoretical analysis.

全部作者：郑如梦

第一作者：张慧

论文类型：基础研究

通讯作者：蒋晓芸

学科门类：理学

一级学科：数学

卷号：84

期号：2

页面范围：513-536

是否译文：否

发表时间：2020-01-01

收录刊物：SCI