Shifted-Legendre orthonormal method for delay heat conduction equation. (August 2022)

• Record Type: Journal Article
• Authors: Mei, Liangcai; Wu, Boying; Lin, Yingzhen
• Is Part Of: Applied mathematics letters. Volume 130(2022)
• Publication Date: 2022-08
• Subjects: Shifted-Legendre polynomials -- Heat conduction equation with delay -- ɛ-optimal approximation solution; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.107996
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this article, a Shifted-Legendre orthonormal method for solving delay heat conduction equations is considered. This method, based on Legendre orthogonal polynomials, gives the relevant properties of ɛ -optimal approximation solution, and proves the convergence and effectiveness of the constructed numerical algorithm. Numerical examples are given to verify the feasibility of the proposed algorithm.