A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method. (3rd September 2021)

• Record Type: Journal Article
• Authors: Khidir, Ahmed A.
• Other Names: Song Bosheng Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-09-03
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/9230714
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this work, we propose a new method for solving Volterra integral equations. The technique is based on the Chebyshev spectral collocation method. The application of the proposed method leads Volterra integral equation to a system of algebraic equations that are easy to solve. Some examples are presented and compared with some methods in the literature to illustrate the ability of this technique. The results demonstrate that the new method is more efficient, convergent, and accurate to the exact solution.