2023
DOI: 10.5391/ijfis.2023.23.1.11
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Numerical Solution of Fuzzy Heat Equation with Complex Dirichlet Conditions

Abstract: Recently, complex fuzzy sets have become powerful tools for generalizing the range of fuzzy sets to wider ranges that lie on a unit disk in the complex plane. In this study, complex fuzzy numbers are discussed and applied for the first time to solve a complex fuzzy partial differential equation involving a complex fuzzy heat equation under Hukuhara differentiability. Subsequently, an explicit finite difference scheme, referred to as the forward time-center space (FTCS), was implemented to solve the complex fuz… Show more

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“…Fractional differential equations (FDEs) have garnered significant interest due to their wide range of real-life applications in chemistry, physics, biology, engineering, and other fields [1][2][3][4][5][6][7][8][9][10][11][12][13]. In conventional studies on natural processes modeled by FDEs, the vague parameters are considered to be precise and well defined.…”
Section: Introductionmentioning
confidence: 99%
“…Fractional differential equations (FDEs) have garnered significant interest due to their wide range of real-life applications in chemistry, physics, biology, engineering, and other fields [1][2][3][4][5][6][7][8][9][10][11][12][13]. In conventional studies on natural processes modeled by FDEs, the vague parameters are considered to be precise and well defined.…”
Section: Introductionmentioning
confidence: 99%