A PIECEWISE APPROXIMATE METHOD FOR SOLVING SECOND ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY

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AHMADY E.; AHMADI N.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2017 | Volume:9 | Issue:3 Page(s): 203-213

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Title

A PIECEWISE APPROXIMATE METHOD FOR SOLVING SECOND ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY

Author(s)

AHMADY E. | AHMADI N. | Issue Writer Certificate

Keywords

GENERALIZED DIFFERENTIABILITYQ2

NUMERICAL SOLUTIONQ2

FUZZY DIFFERENTIAL EQUATIONSQ2

Abstract

In this paper a numerical method for solving second order FUZZY DIFFERENTIAL EQUATIONS under GENERALIZED DIFFERENTIABILITY is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investigate the existence, uniqueness and convergence of approximate solutions. Finally the accuracy of piecewise approximate method by some examples are shown.

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APA: Copy

AHMADY, E., & AHMADI, N.. (2017). A PIECEWISE APPROXIMATE METHOD FOR SOLVING SECOND ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 9(3), 203-213. SID. https://sid.ir/paper/231796/en

Vancouver: Copy

AHMADY E., AHMADI N.. A PIECEWISE APPROXIMATE METHOD FOR SOLVING SECOND ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2017;9(3):203-213. Available from: https://sid.ir/paper/231796/en

IEEE: Copy

E. AHMADY, and N. AHMADI, “A PIECEWISE APPROXIMATE METHOD FOR SOLVING SECOND ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 9, no. 3, pp. 203–213, 2017, [Online]. Available: https://sid.ir/paper/231796/en

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