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Approximating the Solution Stochastic Process of the Random Cauchy One‐Dimensional Heat Model

Author

Listed:
  • A. Navarro-Quiles
  • J.-V. Romero
  • M.-D. Roselló
  • M. A. Sohaly

Abstract

This paper deals with the numerical solution of the random Cauchy one‐dimensional heat model. We propose a random finite difference numerical scheme to construct numerical approximations to the solution stochastic process. We establish sufficient conditions in order to guarantee the consistency and stability of the proposed random numerical scheme. The theoretical results are illustrated by means of an example where reliable approximations of the mean and standard deviation to the solution stochastic process are given.

Suggested Citation

  • A. Navarro-Quiles & J.-V. Romero & M.-D. Roselló & M. A. Sohaly, 2016. "Approximating the Solution Stochastic Process of the Random Cauchy One‐Dimensional Heat Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:5391368
    DOI: 10.1155/2016/5391368
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    References listed on IDEAS

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    1. Wang, Jiang, 1994. "A Model of Competitive Stock Trading Volume," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 127-168, February.
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