Legendre spectral element method for solving Volterra-integro differential equations

Results in Applied Mathematics

卷:7

Amjad Alipanah¹  Mahmoud Lotfi² 

[1] Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran;

[2] Corresponding author.;

关键词: Volterra integro-differential equation;    Spectral element method;    Legendre polynomials;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article, we present a spectral element method for numerical solution of linear Volterra integro-differential equations with boundary conditions. First, we obtain discrete form of the problem using the spectral element method. We use the Legendre polynomials for interpolation. Also, the error analysis of the method is considered. Furthermore, the efficiency of the proposed method will be considered through numerical examples.

【 授权许可】

Unknown