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A numerical algorithm and a variational iteration technique for solving higher order fuzzy integro-differential equations. (English) Zbl 1317.65257

Summary: In this paper, we present an algorithmic form of the variational iteration method to handle both linear and nonlinear higher-order fuzzy integro-differential equations. Using parametric form of fuzzy numbers to convert higher order fuzzy integro-differential equation to a system of higher order integro-differential equations in crisp case. By using the variational integration method we find the approximate solution of this system and consequently we obtain an approximation for fuzzy solution of the higher order fuzzy integro-differential equations. The numerical results are examined.

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
26E50 Fuzzy real analysis
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