Solving a System of Linear Equations by Homotopy Analysis Method

Document Type : Research Articles

Authors

1 Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

2 Department of Mathematics, Zanjan University, Zanjan, Iran

Abstract

‎In this paper‎, ‎an efficient algorithm for solving a system of linear‎
‎equations based on the homotopy analysis method is presented‎. ‎The‎
‎proposed method is compared with the classical Jacobi iterative‎
‎method‎, ‎and the convergence analysis is discussed‎. ‎Finally‎, ‎two‎
‎numerical examples are presented to show the effectiveness of the‎
‎proposed method.‎

Keywords