A Numerical Algorithm and a Variational Iteration Technique for Solving Higher Order Fuzzy Integro-differential Equations

作者：Narayanamoorthy S^*; Murugan K

来源：Fundamenta Informaticae, 2014, 133(4): 421-431.

DOI：10.3233/FI-2014-1084

• numerical algorithm
• fuzzy number
• fuzzy integro-differential equations
• variational iteration method
• convergence

In this paper, we present an algorithmic form of the variational iteration method (VIM) 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.

• 出版日期2014