Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations
Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran 14515/775, Iran
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Math. Comput. Appl. 2011, 16(4), 819-829; https://doi.org/10.3390/mca16040819
Published: 1 December 2011
Abstract
In this paper, the variational iteration method (VIM) is employed to solve a system of fuzzy differential equations of first order. Since every ordinary fuzzy differential equations of higher order can be converted into a fuzzy system of the first order, this method can be used for solving n -th order fuzzy differential equations. Also the convergency of VIM for this system is proved. Finally to more illustrate several examples are solved.
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MDPI and ACS Style
Abbasbandy, S.; Allahviranloo, T.; Darabi, P.; Sedaghatfar, O. Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations. Math. Comput. Appl. 2011, 16, 819-829. https://doi.org/10.3390/mca16040819
AMA Style
Abbasbandy S, Allahviranloo T, Darabi P, Sedaghatfar O. Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations. Mathematical and Computational Applications. 2011; 16(4):819-829. https://doi.org/10.3390/mca16040819
Chicago/Turabian StyleAbbasbandy, S., T. Allahviranloo, P. Darabi, and O. Sedaghatfar. 2011. "Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations" Mathematical and Computational Applications 16, no. 4: 819-829. https://doi.org/10.3390/mca16040819
