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Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform

Wei Chen,Yonghong Shen-2014-01-01-Journal of Intelligent & Fuzzy Systems
22

TL;DRAbstract

In the present paper, based on the fuzzy transform method, a novel and efficient algorithm to obtain an approximate solution for a class of second-order ordinary differential equations is proposed, in which two cases are considered, that is, whether the differential equation contains first-order derivative. Finally, several examples are given to demonstrate the effectiveness of the proposed algorithm.

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In the present paper, based on the fuzzy transform method, a novel and efficient algorithm to obtain an approximate solution for a class of second-order ordinary differential equations is proposed, in which two cases are considered, that is, whether the differential equation contains first-order derivative. Finally, several examples are given to demonstrate the effectiveness of the proposed algorithm.

Keywords

MathematicsClass (philosophy)Ordinary differential equationOrder (exchange)Fuzzy logicApplied mathematicsMathematical analysisDifferential equation

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