Numerical solution of hybrid fuzzy differential equations using improved predictor-corrector method

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• 作者：Hyunsoo Kim^a ; Rathinasamy Sakthivel^b ; ^{krsakthivel@yahoo.com}
• 关键词：Hybrid fuzzy differential equations ; Numerical solution ; Improved predictor&ndash ; corrector method ; Fuzzy initial value problem
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：October, 2012
• 卷：17
• 期：10
• 页码：3788-3794
• 文件大小：283 K

摘要

The hybrid fuzzy differential equations have a wide range of applications in science and engineering. This paper considers numerical solution for hybrid fuzzy differential equations. The improved predictor-corrector method is adapted and modified for solving the hybrid fuzzy differential equations. The proposed algorithm is illustrated by numerical examples and the results obtained using the scheme presented here agree well with the analytical solutions. The computer symbolic systems such as Maple and Mathematica allow us to perform complicated calculations of algorithm.