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Solving fuzzy partial differential equations by fuzzy two-dimensional differential transform method

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Abstract

In this paper, a two-dimensional differential transform method to solve fuzzy partial differential equations (FPDEs) is proposed. The fuzzy two-dimensional differential transform method of fixed grid size is used to find approximate solutions of FPDEs. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed algorithm is illustrated by numerical examples.

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Authors and Affiliations

  1. Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

    N. Mikaeilvand

  2. Young Researchers club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

    S. Khakrangin

Authors
  1. N. Mikaeilvand
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  2. S. Khakrangin
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Correspondence to N. Mikaeilvand.

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Mikaeilvand, N., Khakrangin, S. Solving fuzzy partial differential equations by fuzzy two-dimensional differential transform method. Neural Comput & Applic 21 (Suppl 1), 307–312 (2012). https://doi.org/10.1007/s00521-012-0901-x

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  • DOI: https://doi.org/10.1007/s00521-012-0901-x

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