Abstract
The main goal of this paper is to propose a new decomposition method for finding solutions to nonlinear partial fuzzy differential equations (NPFDE) through the fuzzy Sawi decomposition method (FSDM). This method is a combination of the fuzzy Sawi transformation and Adomian decomposition method. For this purpose, two new theorems for fuzzy Sawi transformation regarding fuzzy partial gH-derivatives are introduced. The use of convex symmetrical triangular fuzzy numbers creates symmetry between the lower and upper representations of the fuzzy solution. To demonstrate the effectiveness of the method, a numerical example is provided.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference42 articles.
1. Modified extended tanh-function method for solving nonlinear partial differential equations
2. Second-Generation Wavelet Collocation Method for the Solution of Partial Differential Equations
3. Solving partial differential equations by two-dimensional differential transform method;Chen;Appl. Math. Comput.,1999
4. Solving nonlinear partial differential equations by using Adomian decomposition method, modified decomposition method and Laplace decomposition method;Gündoğdu;MANAS J. Eng.,2017
5. On the Numerical Solution of Ordinary, Interval and Fuzzy Differential Equations by Use of F-Transform
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