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    An estimation of the solution of hybrid fuzzy differential equations
    (Springer Heidelberg, 2023) Ahmady, E.; Allahviranloo, T.; Ahmady, N.; Mansouri, S. S.
    In this paper, a new solution for the hybrid fuzzy differential equation under generalized differentiability is proposed. This method is obtained by approximates the solution by (discontinuous) piece-wise polynomial approximations of degree 3. The existence and uniqueness of the solution and convergence of the method are discussed in detail. To illustrate the approach, some examples are finally given.
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    A multi-step method to solve bipolar-fuzzy initial value problem
    (Springer Heidelberg, 2024) Ahmady, E.; Ahmady, N.; Allahviranloo, T.; Shahriari, M.
    Bipolar-fuzzy differential equations applied for modeling in science, engineering, and social science. The aim of this paper is to provide a numerical method to determine the preferred level of accuracy with less computational cost. The proposed method is generated by combining three-step explicit and two-step implicit bipolar-fuzzy methods, which are obtained by the spline interpolation. For more illustration, the consistency, stability, and convergence theorems are discussed in detail. Finally, for show the performance and efficiency of the method, several numerical examples are presented.
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    Piecewise Approximation for Bipolar Fuzzy Initial Value Problem
    (World Scientific Publ Co Pte Ltd, 2023) Ahmady, E.; Ahmady, N.; Allahviranloo, T.
    In this work, a new solution for the bipolar-fuzzy initial value problem is proposed. This method is obtained by approximating the solution by piece-wise polynomial of order three. The existence and uniqueness of the solution and convergence of the method are discussed in detail. Finally, for more explanation, several numerical examples are solved.