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Numerical solution for hybrid fuzzy systems by Runge-Kutta Verner method - MaRDI portal

Numerical solution for hybrid fuzzy systems by Runge-Kutta Verner method (Q2875383)

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scientific article; zbMATH DE number 6330438
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Numerical solution for hybrid fuzzy systems by Runge-Kutta Verner method
scientific article; zbMATH DE number 6330438

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    14 August 2014
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    hybrid systems
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    fuzzy differential equations
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    Runge-Kutta Verner method
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    Numerical solution for hybrid fuzzy systems by Runge-Kutta Verner method (English)
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    The authors consider the hybrid fuzzy differential system \(x'(t) = f(t, x(t), \lambda_k(x_k))\), \(t \in [t_k, t_{k+1}]\), subject to the conditions \(x(t_k) = x_k\). Based on classical Runge-Kutta techniques, they construct a numerical method of Verner's type for deriving upper and lower bounds for the solution of this problem. A very brief convergence analysis is given.
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