Numerical solution of fuzzy differential equations by predictor-corrector method |
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Authors: | T. Allahviranloo N. Ahmady E. Ahmady |
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Affiliation: | Department of Mathematics, Science and Research Branch, Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran |
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Abstract: | ![]() In this paper three numerical methods to solve “The fuzzy ordinary differential equations” are discussed. These methods are Adams-Bashforth, Adams-Moulton and predictor-corrector. Predictor-corrector is obtained by combining Adams-Bashforth and Adams-Moulton methods. Convergence and stability of the proposed methods are also proved in detail. In addition, these methods are illustrated by solving two fuzzy Cauchy problems. |
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Keywords: | Fuzzy differential equations Fuzzy Cauchy problem Adams-Bashforth method Adams-Moulton method Predictor-corrector method |
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