The Homotopy Analysis Method to Solve the Nonlinear System of Volterra Integral Equations and Applying the Genetic Algorithm to Enhance the Solutions

被引：3

作者：

Ahmed, Rasha F. ^{[1
]}

Al-Hayani, Waleed ^{[1
]}

Al-Bayati, Abbas Y. ^{[2
]}

机构：

[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul, Iraq

[2] Univ Telafer, Coll Basic Educ, Dept Math, Mosul, Iraq

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 16卷 / 02期

关键词：

System of Volterra Integral Equations (SVIEs); Homotopy Analysis Method (HAM); h-curves; Genetic Algorithm (GA);

D O I：

10.29020/nybg.ejpam.v16i2.4693

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents the application of the Homotopy Analysis Method (HAM) for solving nonlinear system of Volterra integral equations used to obtain a reasonably approximate solution. The HAM contains the auxiliary parameter h which provides a simple way to adjust and control the convergence region of the solution series. The results show that the HAM is a very effective method as well. The results were compared with the solutions obtained by developing a homotopy analysis method using the genetic algorithm (HAM-GA), considering the residual error function as a fitness function of the genetic algorithm.

引用

页码：864 / 892

页数：29

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