A Finite Difference Method for Solving the Wave Equation with Fractional Damping

In this paper, we develop a finite difference method for solving the wave equation with fractional damping in 1D and 2D cases, where the fractional damping is given based on the Caputo fractional derivative. Firstly, based on the weighted method, we propose a new numerical approximation for the Capu...

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Bibliographic Details
Main Authors: Manruo Cui, Cui-Cui Ji, Weizhong Dai
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/29/1/2