Scholarlink

The objective of this work are to determine the numerical solution of Delay Differential Equations (DDEs) using Galerkin weighted residual method based on Successive Integration Technique (SIT) and to obtain the estimation of error using residual function. The Galerkin weighted residual method based on SIT is proposed to get approximate solutions of the DDEs arising in Electro Dynamics. In this study, the most widely used classical orthogonal polynomials are considered. The effectiveness of the proposed method has been exhibited via examples. Numerical results demonstrate that the proposed new approach provides better results compared to the conventional approach. The implementation of the proposed Galerkin method is very effective, simple and suitable for solving delay differential equations in dynamical systems.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Solving Delay Differential Equations in Dynamical Systems Using Galerkin Weighted Residual Method and Its Residual Error Correction with Various Polynomials

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • C. Kayelvizhi,
  • A. Emimal Kanaga Pushpam

摘要

The objective of this work are to determine the numerical solution of Delay Differential Equations (DDEs) using Galerkin weighted residual method based on Successive Integration Technique (SIT) and to obtain the estimation of error using residual function. The Galerkin weighted residual method based on SIT is proposed to get approximate solutions of the DDEs arising in Electro Dynamics. In this study, the most widely used classical orthogonal polynomials are considered. The effectiveness of the proposed method has been exhibited via examples. Numerical results demonstrate that the proposed new approach provides better results compared to the conventional approach. The implementation of the proposed Galerkin method is very effective, simple and suitable for solving delay differential equations in dynamical systems.