Solving Random Ordinary and Partial Differential Equations Through the Probability Density Function: Theory and Computing with Applications

  • J. Calatayud
  • J.-C. CortésEmail author
  • M. Jornet
  • A. Navarro-Quiles
Part of the Understanding Complex Systems book series (UCS)


This contribution provides a practical view to the computation of the first probability density function of the solution stochastic process to ordinary and partial differential equations with randomness using the Random Variable Transformation technique. The analysis is performed via a set of simple examples, belonging to different areas like Physics, Biology and Engineering, with the aim of illustrating key ideas from a practical standpoint.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • J. Calatayud
    • 1
  • J.-C. Cortés
    • 1
    Email author
  • M. Jornet
    • 1
  • A. Navarro-Quiles
    • 2
  1. 1.Instituto Universitario de Matemática MultidisciplinarUniversitat Politècnica de ValènciaValenciaSpain
  2. 2.DeustoTechUniversidadty of DeustoBasque CountrySpain

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