Mathematics and Computational Sciences

Numerical approximations for damped wave equation with Neumann boundary conditions

Document Type : Original Article

Authors

Mohammed Homod Hashim 1
Sattar M. Hassan 2
Ayat A. Hameed 1
Akil J. Harfash 1

1 Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq

2 Department of Mathematics, College of Education, University of Misan, Misan, Iraq

https://doi.org/10.30511/mcs.2025.2046047.1257
Abstract
This research paper investigates the numerical analysis of the damped wave equation (DWE), focusing on the properties of numerical solutions achieved via semi-discrete approximation (SDA) and fully-discrete approximation (FDA) finite element methods (FEMs). This study established the existence of SDA and FDA solutions. Theoretical results are validated with numerical examples conducted in one, two, and three dimensions, demonstrating the accuracy and effectiveness of the proposed approaches.

Keywords

Finite element
Wave equation
Weak solution
Semi-discrete approximation
Fully-discrete approximation

Subjects

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Mathematics and Computational Sciences
Volume 6, Issue 1
Winter 2025
Pages 1-18

  • Receive Date 18 November 2024
  • Revise Date 06 January 2025
  • Accept Date 06 January 2025

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