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The main objective of this work is to integrate the Domain Decomposition Technique (DDT) with the Method of Fundamental Solutions (MFS), the Method of Particular Solutions (MPS), and the High Order Continuation Method (HOCM) to solve the nonlinear Bratu problem. This coupling allows for efficient management of the system’s stability generated by the MFS.

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Coupling the Meshless Method and the Domain Decomposition Technique with High Order Continuation Method to Solve Bratu Problem

  • 会议论文

  • 发表日期：

    2025年

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  • Yassine Kharbaoui,
  • A. Tri,
  • B. Braikat

摘要

The main objective of this work is to integrate the Domain Decomposition Technique (DDT) with the Method of Fundamental Solutions (MFS), the Method of Particular Solutions (MPS), and the High Order Continuation Method (HOCM) to solve the nonlinear Bratu problem. This coupling allows for efficient management of the system’s stability generated by the MFS.