A new meshless method of solving 2D fractional diffusion-wave equations. (August 2022)

• Record Type: Journal Article
• Authors: Du, Hong; Chen, Zhong
• Is Part Of: Applied mathematics letters. Volume 130(2022)
• Publication Date: 2022-08
• Subjects: Meshless method -- Diffusion-wave equation -- The minimum residual solution; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108004
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C 2 ( Ω ) . Based on the theories, we propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. Numerical experiments further demonstrate advantages of the method. Highlights: We provide the key of theories that the set of polynomial functions is dense in C 2 ( Ω ) . We propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. The proposed method use polynomial functions as basis functions and it can avoid complex computations of shape functions for traditional methods.