A new fuzzy approximation method to Cauchy problems by fuzzy transform
From MaRDI portal
Publication:1677818
DOI10.1016/j.fss.2015.01.001zbMath1377.65082OpenAlexW2017725028MaRDI QIDQ1677818
Irina Perfilieva, Alireza Khastan, Zahra Alijani
Publication date: 13 November 2017
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2015.01.001
numerical exampleCauchy problemRunge-Kutta methodmid-point rulefuzzy initial value problemhigher degree F-transform
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Fuzzy ordinary differential equations (34A07)
Related Items
GENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM ⋮ On Z-fractional differential equations ⋮ An alternative use of fuzzy transform with application to a class of delay differential equations ⋮ A fuzzy transform method for numerical solution of fractional Volterra integral equations ⋮ Recursive higher order fuzzy transform method for numerical solution of Volterra integral equation with singular and nonsingular kernels ⋮ How the F-transform can be defined for hesitant, soft or intuitionistic fuzzy sets? ⋮ Relational, closure and partition powerset theories ⋮ Spaces with fuzzy partitions and fuzzy transform ⋮ \(F\)-transform-based shooting method for nonlinear boundary value problems ⋮ A new representation for inverse fuzzy transform and its application ⋮ On the relationship among \(F\)-transform, fuzzy rough set and fuzzy topology ⋮ An extension of F-transforms to more general data: potential applications ⋮ Approximation by multivariate higher degree \(F\)-transform based on B-splines ⋮ Continuous and discrete higher-degree \(F\)-transforms based on B-splines ⋮ Multivariate fuzzy transform of complex-valued functions determined by monomial basis ⋮ Fuzzy objects in spaces with fuzzy partitions ⋮ Applications of modified Mickens-type NSFD schemes to Lane-Emden equations ⋮ A method for solving nonlinear Volterra's population growth model of noninteger order ⋮ F-TRANSFORM FOR NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEM ⋮ F-transforms determined by implicators ⋮ Properties of fuzzy transform obtained from \(L_p\) minimization and a connection with Zadeh's extension principle ⋮ Discrete fractional calculus for interval-valued systems ⋮ Polynomial alias higher degree fuzzy transform of complex-valued functions ⋮ On the structural properties of \(F^m\)-transform with applications ⋮ Axiomatic of lattice-valued \(F\)-transform ⋮ Lattice-valued \(F\)-transforms and similarity relations ⋮ A systematic spectral-tau method for the solution of fuzzy fractional diffusion and fuzzy fractional wave equations ⋮ Adaptive strategies for system of fuzzy differential equation: application of arms race model ⋮ A note on the convergence of fuzzy transformed finite difference methods ⋮ F-transforms and semimodule homomorphisms ⋮ An approximation method to solve coupled system ODEs of order second using fuzzy transform
Cites Work
- Unnamed Item
- Towards a higher degree \(F\)-transform
- Numerical solution of fuzzy differential equations by Nyström method
- Numerical solution of fuzzy differential equations by predictor-corrector method
- Numerical solution of fuzzy differential equations under generalized differentiability
- Numerical solutions of fuzzy differential and integral equations
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Note on ``Numerical solution of fuzzy differential equations by predictor-corrector method
- Fuzzy transforms: theory and applications
- An Approach to Modelling and Simulation of Uncertain Dynamical Systems
- Fuzzy differential equations
