Mathematical and Computational Applications · 2011 · 18 citations · 23 references
Natural SciencesMathematicsDerivativesDifferential EquationsDynamical SystemsConvergence AnalysisInitial Value ProblemsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsNumerical StabilityDifferential Equation SolversFuzzy Differential EquationsInitial Boundary ConditionsStability Of Numerical Schemes
In this paper we study a numerical method for n-th order fuzzy differential equations based on Seikkala derivative with initial value conditions. The Runge-Kutta method is used for the numerical solution of this problem and the convergence and stability of the method is proved. By this method, we can obtain strong fuzzy solution. This method is illustrated by solving some examples.
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Osmo Kaleva · Fuzzy Sets and Systems · 1987 · 1.7K citations
Roy H. Goetschel, William Voxman · Fuzzy Sets and Systems · 1986 · 1.4K citations