Numerical solution of a locally damped wave model

Authors

  • Luz Victoria Mal´asquez Chamba Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas, Lima, Peru

DOI:

https://doi.org/10.15381/pesquimat.v27.i2.29489

Keywords:

wave equation, linear finite elements, approximate solution

Abstract

This work aims to solve a wave equation with locally distributed damping with initial and boundary conditions through the linear finite element method. This method’s discretization of the model leads to a system of first-order ordinary differential equations with time-dependent initial values. It is concluded numerically and graphically that the stability of the approximate solution of the model depends on the damping coefficient and stabilizes with time.

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Published

2024-12-30

Issue

Section

Artículos originales

How to Cite

Numerical solution of a locally damped wave model. (2024). Pesquimat, 27(2), 21-33. https://doi.org/10.15381/pesquimat.v27.i2.29489