NIGERIAN JOURNAL OF SCIENCE AND ENVIRONMENT
Journal of the Faculties of Science and Agriculture, Delta State University, Abraka, Nigeria

ISSN: 1119-9008
DOI: 10.5987/UJ-NJSE
Email: njse@universityjournals.org


ON THE EFFECTIVENESS OF ERROR ESTIMATES OF THE FINITE ELEMENT SOLUTION OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATION

DOI: 10.5987/UJ-NJSE.16.023.2   |   Article Number: 1CD17821   |   Vol.12 (2) - September 2013

Author:  Njoseh I. N

Keywords: Cahn-Hilliard equation, Weak formulation, Space-Time Noise, Finite Element, Error analysis

The Stochastic fourth order heat equation driven by a space-time white noise was considered.

Error estimates were verified using finite element solvers as a tool for numerical experiments.

The proposed solution for the numerical estimate of the strong convergence rate was shown to be

effective.

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