2016
DOI: 10.1016/j.asej.2015.05.013
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A novel computing three-dimensional differential transform method for solving fuzzy partial differential equations

Abstract: In this paper, we introduce three-dimensional fuzzy differential transform method and we utilize it to solve fuzzy partial differential equations. This technique is a successful method because of reducing such problems to solve a system of algebraic equations; so, the problem can be solved directly. A considerable advantage of this method is to obtain the analytical solutions if the equation has an exact solution that is a polynomial function. Numerical examples are included to demonstrate the validity and app… Show more

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Cited by 9 publications
(9 citation statements)
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“…Ever since TAGE is fit adapted for parallel computation, this approach has been seen as the main advantage as it consumes sets of independent tasks that can be executed at the same time. The potential of the recommended technique is expected to be useful for the advanced exploration in deciphering any multi-dimensional FPDEs [20,21]. The outcomes of this work can basically be categorized as one of the half-sweep procedure.…”
Section: Discussionmentioning
confidence: 99%
“…Ever since TAGE is fit adapted for parallel computation, this approach has been seen as the main advantage as it consumes sets of independent tasks that can be executed at the same time. The potential of the recommended technique is expected to be useful for the advanced exploration in deciphering any multi-dimensional FPDEs [20,21]. The outcomes of this work can basically be categorized as one of the half-sweep procedure.…”
Section: Discussionmentioning
confidence: 99%
“…In other words, fuzzy PDEs are usually used to deal with multi-dimensional dynamic systems of realistic problems in fuzzy environments [6] and have been developed more rapidly with the great expansion of research fields such as physical science, population dynamics, station elasticity, and so on. See, for example, [2,[7][8][9][10][11][12] and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, examples of the said equation with proportional delays are solved. Adaptations of the method, such as the Fuzzy-Differential Transform Method [9] and the Fractional-Differential Transform Method [10] have been designed to solve the corresponding types of differential equations. In [10], the fractional differential transform method is used to solve fractional KdV equations, in addition to some third order nonlinear fractional pdes.…”
Section: Introductionmentioning
confidence: 99%