Approximate Series Solution For Two-Point Fuzzy Boundary Value Problems

Author:

Khwayyit Raad I.1,Suhhiem Mazin H.2

Affiliation:

1. Ministry of Education, IRAQ

2. University of Sumer, IRAQ

Abstract

In this work, we have used double decomposition method to find approximate analytical solutions for the two-point fuzzy boundary value problems. This method is based on the standard Adomian decomposition method, which is a highly efficient method for solving fuzzy and non-fuzzy differential equations. This method allows for the solution to be calculated in the form of convergent series, in which the obtained are accurate solutions and very close to the exact analytical solutions. Some numerical results have been given to illustrate the efficiency of the used method.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference14 articles.

1. T. Allahviranloo and L. Jamshidi, Solution of Fuzzy Differential Equations Under Generalized Differentiability by Adomian Decomposition Method, Iranian Journal of Optimization, Vol. 1 (2009), 56-75.

2. L. Wang and S. Guo, Adomian Method for Second Order Fuzzy Differential Equations, World Academy of Science, Engineering and Technology, Vol. 52 (2011), 979-982.

3. J. Duan, R. Rach and D. Baleanu, A Review of the Adomian Decomposition method and Its Applications to Fractional Differential Equations, Commun. Frac. Calc., Vol. 3, No. 2 (2012), 73-99.

4. S. Narayanamoorthy and T. Yookesh, An Adomian Decomposition Method to Solve Linear Fuzzy Differential Equations, Proceeding of the International Conference on Mathematical Methods and Computation, India, 13-14 February 2014.

5. M. Paripour, E. Hajilou and A. Hajilou, Application of Adomian Decomposition Method to Solve Hybrid Fuzzy Differential Equations, Journal of Taibah University for Science, Vol. 9 (2015), 95-103.

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