Multi-step gH-difference-based methods for fuzzy differential equations
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CitationSafikhani, L., Vahidi, A., Allahviranloo, T., & Afshar Kermani, M. (2023). Multi-step gH-difference-based methods for fuzzy differential equations. Computational and Applied Mathematics, 42(1), 1-30.
The main purpose of this paper is to introduce fuzzy Adams–Bashforth (A–B) and fuzzy Adams–Moulton (A–M) methods based on the generalized Hukuhara (gH)-differentiability and employ them as the predictor and corrector, respectively. The local truncation error, stability and convergence of these methods are discussed in the sequel. Finally, some fuzzy linear and nonlinear initial value problems (IVPs) are solved. The numerical results obtained here show that our methods provide a suitable approximation for the exact solution. © 2023, The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional.