A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation. (17th January 2022)

• Record Type: Journal Article
• Authors: Liu, Xiao; Bo, Yu; Jin, Yuanfeng
• Other Names: Youssri Youssri Hassan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-01-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/3438289
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Aiming at the initial boundary value problem of variable-order time-fractional wave equations in one-dimensional space, a numerical method using second-order central difference in space and H2N2 approximation in time is proposed. A finite difference scheme with second-order accuracy in space and 3 − γ ∗ order accuracy in time is obtained. The stability and convergence of the scheme are further discussed by using the discrete energy analysis method. A numerical example shows the effectiveness of the results.