Walailak Journal of Science and Technology (Dec 2013)

Numerical Solution of the Uncertain Characteristic Cauchy Reaction-Diffusion Equation by Variational Iteration Method

  • Hamid ROUHPARVAR,
  • Saeid ABBASBANDY

DOI
https://doi.org/10.2004/wjst.v11i8.730
Journal volume & issue
Vol. 11, no. 11

Abstract

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In this paper, the uncertain characteristic Cauchy reaction-diffusion equation is solved by the variational iteration method. The uncertain characteristic Cauchy problem is converted to a system of characteristic Cauchy problems by parametric representation and LU-fuzzy representation of fuzzy numbers. Also, using the variational iteration method and 2 representations of fuzzy numbers, 2 representations of approximate fuzzy solution are found and compared. Finally, the method is explained by 2 illustrative examples. doi:10.14456/WJST.2014.73

Keywords