Shifted-Legendre orthonormal method for delay heat conduction equation

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 epsilon-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. (c) 2022 Elsevier Ltd. All rights reserved.