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Article type: Research Article
Authors: Narayanamoorthy, S. | Murugan, K.
Affiliations: Department of Applied Mathematics, Bharathiar University, Coimbatore 641 046, India. snm_phd@yahoo.co.in; mkm.murugan@gmail.com
Note: [] The authors would like to thank the Editor and anonymous referees for their helpful suggestions and comments. Address for correspondence: Department of Applied Mathematics, Bharathiar University, Coimbatore 641 046, India.
Note: [] The authors would like to thank the Editor and anonymous referees for their helpful suggestions and comments.
Abstract: 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.
Keywords: numerical algorithm, fuzzy number, fuzzy integro-differential equations, variational iteration method, convergence
DOI: 10.3233/FI-2014-1084
Journal: Fundamenta Informaticae, vol. 133, no. 4, pp. 421-431, 2014
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