Numerical solution of hybrid fuzzy differential equations using improved predictor-corrector method

DOI10.1016/j.cnsns.2012.02.003zbMath1250.65092OpenAlexW2052280822MaRDI QIDQ450373

Rathinasamy Sakthivel, Hyun Soo Kim

Publication date: 13 September 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.02.003

zbMATH Keywords

algorithmnumerical examplesMathematicaMaplehybrid fuzzy differential equationscomputer symbolic systemsfuzzy initial value problemimproved predictor-corrector method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) 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 (9)

A Runge-Kutta method with reduced number of function evaluations to solve hybrid fuzzy differential equations ⋮ Unnamed Item ⋮ An estimation of the solution of hybrid fuzzy differential equations ⋮ Stochastic fuzzy differential equations of a nonincreasing type ⋮ Solving hybrid fuzzy differential equations by Chebyshev wavelet ⋮ Adams predictor-corrector systems for solving fuzzy differential equations ⋮ Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nyström method ⋮ An operational matrix based on Legendre polynomials for solving fuzzy fractional-order differential equations ⋮ A numerical method for fuzzy differential equations and hybrid fuzzy differential equations

Uses Software

• Maple
• Mathematica

Cites Work

• Numerical solution of fuzzy differential equations by Nyström method
• Numerical solution of fuzzy differential equations by predictor-corrector method
• A boundary value problem for second order fuzzy differential equations
• A class of linear differential dynamical systems with fuzzy matrices
• Numerical solution of hybrid fuzzy differential equation IVPs by a characterization theorem
• Improved predictor-corrector method for solving fuzzy initial value problems
• Solving fuzzy differential equations by differential transformation method
• On the fuzzy initial value problem
• Numerical solutions of fuzzy differential and integral equations
• Numerical methods for fuzzy differential inclusions
• \(N\)th-order fuzzy linear differential equations
• Numerical solution to hybrid fuzzy systems
• Numerical solution of hybrid fuzzy differential equations by predictor-corrector method
• Fuzzy differential equations
• Fuzzy mathematics in economics and engineering

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