Numerically solution of fuzzy differential equations by Adomian method.

DOI10.1016/S0096-3003(03)00160-7zbMath1038.65056OpenAlexW1985553008MaRDI QIDQ1427887

D. Massart

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00160-7

zbMATH Keywords

Adomian methodFuzzy numberFuzzy derivativeFuzzy differential equationFuzzy first-order initial value problemFuzzy function

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fuzzy real analysis (26E50)

Related Items (19)

Periodic boundary value problems for impulsive fuzzy differential equations ⋮ Monotone method for fuzzy differential equations ⋮ Parametric representation of fuzzy numbers and application to fuzzy calculus ⋮ Fuzzy fractional functional differential equations under Caputo gH-differentiability ⋮ Series solution of the system of fuzzy differential equations ⋮ Interval-valued fuzzy derivatives and solution to interval-valued fuzzy differential equations ⋮ Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method ⋮ A class of linear differential dynamical systems with fuzzy initial condition ⋮ Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method ⋮ Use residual correction method to calculate the upper and lower solutions of initial value problem ⋮ Error estimation in the approximation of the solution of nonlinear fuzzy Fredholm integral equations ⋮ Comparison results for fuzzy differential equations ⋮ Tuning of reachable set in one dimensional fuzzy differential inclusions ⋮ Artificial neural network approach for solving fuzzy differential equations ⋮ Solving first-order differential equations of \(Z\)-numbers' initial value using radial basic function ⋮ A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations ⋮ A method for solvingnth order fuzzy linear differential equations ⋮ Application of the Adomian decomposition method for the Fokker-Planck equation ⋮ Bounded solutions for fuzzy differential and integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Elementary fuzzy calculus
• On using \(\alpha\)-cuts to evaluate fuzzy equations
• Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
• Nonlinear stochastic dynamical systems in physical problems
• On the fuzzy initial value problem
• Solving fuzzy equations
• Solving frontier problems of physics: the decomposition method
• Decomposition methods: A new proof of convergence
• Convergence of Adomian's method applied to differential equations
• New ideas for proving convergence of decomposition methods
• Practical formulae for the calculus of multivariable Adomian polynomials
• Convergence of Adomian's Method
• A review of the decomposition method and some recent results for nonlinear equations
• Fuzzy differential equations
• Fuzzy differential equations

This page was built for publication: Numerically solution of fuzzy differential equations by Adomian method.