Autors: Atanaska Georgieva., Pavlova, A. A.
Title: Fuzzy Sawi Decomposition Method for Solving Nonlinear Partial Fuzzy Differential Equations
Keywords: fuzzy Sawi decomposition method; fuzzy partial gH-derivative; nonlinear partial fuzzy differential equations

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.

References

    Issue

    Symmetry, vol. 13(9), 1580, 2021, Switzerland, MDPI St. Alban-Anlage 66 CH-4052 Basel Switzerland, ISSN: 2073-8994/doi.org/10.3390/sym13091580

    Вид: статия в списание, публикация в издание с импакт фактор, индексирана в Scopus и Web of Science