Numerically solution of fuzzy differential equations by Adomian method

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In this paper a method for numerical approximation of fuzzy first-order initial value problem is presented. Buckly and Feruing [Fuzzy Sets Syst. 110 (2000) 43] have solved fuzzy first-order initial value problem, they solved problem in crisp case and then extend the solution to fuzzy case. In this paper, we use Adomian method to find the approximate solution in crisp case and extend it to fuzzy case. Using this method, we solve problems that the classical methods could not be applied for them in crisp case.

论文关键词:Fuzzy number,Fuzzy function,Fuzzy derivative,Fuzzy differential equation,Adomian method

论文评审过程:Available online 11 April 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(03)00160-7