Runge-Kutta methods for fuzzy differential equations

DOI10.1016/j.amc.2008.06.017zbMath1161.65058OpenAlexW2012580290MaRDI QIDQ1008630

S. Ch. Palligkinis, Ioannis Th. Famelis, George Papageorgiou

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.06.017

zbMATH Keywords

convergencenumerical examplesinitial value problemsRunge-Kutta methodsEuler methodfuzzy numbersnumerical solutionfuzzy differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Fuzzy real analysis (26E50)

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Cites Work

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• Elementary fuzzy calculus
• On the local error and the local truncation error of linear multistep methods
• Differentials of fuzzy functions
• On the fuzzy initial value problem
• Towards fuzzy differential calculus. III: Differentiation
• Numerical solutions of fuzzy differential equations
• Fuzzy differential equations
• Fuzzy differential equations

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