Meshless method of solving multi-term time-fractional integro-differential equation. (July 2023)

• Record Type: Journal Article
• Authors: Du, Hong; Yang, Xinyue; Chen, Zhong
• Is Part Of: Applied mathematics letters. Volume 141(2023)
• Publication Date: 2023-07
• Subjects: Multi-term time-fractional integro-differential equation -- The minimum residual solution -- Meshless method -- Cardinal Sine function -- Arbitrary planar domain; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2023.108619
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, we proposed a new meshless method of solving the minimum residual approximate (MRA) solution for multi-term time-fractional integro-differential equation (MTFIDE). The theory of polynomial functions dense in C 2 ( Ω ) lays a theoretical foundation for the meshless method. A new 2 D dense subset are constructed based on Cardinal Sine and polynomial functions. Hence, the MRA solution of the MTFIDE is obtained. Highlights: The Sinc functions have special advantages to approximate oscillating functions. On arbitrary domain, we propose a new meshless mthod. The base has the advantages of polynomials and Cardinal Sine functions.