2012 · 37 citations · 8 references
Natural SciencesMathematicsApplied MathematicsComputational MechanicsDifferential EquationsFuzzy LogicNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsNumerical StabilityDifferential Equation SolversFuzzy Differential EquationsNumerical Solutions Of Ordinary Differential EquationsOrdinary Differential Equation Solvers
In this paper numerical algorithms for solving ‘fuzzy ordinary differential equations’ based on Seikkala derivative of fuzzy process [9], are considered. A numerical method based on the Runge-Kutta method of order five in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear Fuzzy Cauchy Problems.
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Osmo Kaleva · Fuzzy Sets and Systems · 1987 · 1.7K citations
On the fuzzy initial value problem
Seppo Seikkala · Fuzzy Sets and Systems · 1987 · 883 citations
The cauchy problem for fuzzy differential equations
Osmo Kaleva · Fuzzy Sets and Systems · 1990 · 437 citations