COMPUTATIONAL SIMULATION OF A SYSTEM THERMOELASTICITY USING PYTHON

Authors

  • José Luyo Sánchez Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú
  • Alonso Mansilla Álvarez Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú

DOI:

https://doi.org/10.15381/pes.v14i1.9577

Keywords:

Thermoelastic system, finite difference, numerical stabilitv, python.

Abstract

In this work, we present the development of a numerical scheme based in finite differences for numerical approximation to the solution of a unidimensional coupled linear thermoelastic system. Development the necessaries conditions for stability, consistence and convergence of the numerical scheme.

Based in Von Neumann's method, we get the conditions for conditional stability of this algorithm and based in an example we contrast computationally the approximate the approximate solution got, by the finite differences scheme with the analytic solution.

Author Biography

  • Alonso Mansilla Álvarez, Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú
    Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú

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Published

2011-07-15

Issue

Section

Artículos

How to Cite

COMPUTATIONAL SIMULATION OF A SYSTEM THERMOELASTICITY USING PYTHON. (2011). Pesquimat, 14(1). https://doi.org/10.15381/pes.v14i1.9577