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Mathematical and Computational Applications
Article . 2002 . Peer-reviewed
License: CC BY
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Mathematical and Computational Applications
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https://dx.doi.org/10.3390/mca...
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Other literature type . 2002
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Numerical Solution of Fuzzy Differential Equation

Numerical solution of fuzzy differential equation
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Apr 2002 English Publisher:MDPI AGJournal:Mathematical and Computational Applications, volume 7, pages 41-52 (eissn: 2297-8747, Copyright policy )
Authors: S. Abbasbandy; T. Viranloo;

doi: 10.3390/mca7010041

Numerical Solution of Fuzzy Differential Equation

Abstract

In this paper numerical algorithms for solving fuzzy ordinary differential equations are considered. A scheme based on the 2nd Taylor method in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy cauchy problems.

Related Organizations
Keywords

2nd Taylor Method, Fuzzy real analysis, fuzzy Cauchy problems, Fuzzy Differential Equation, Taylor method, Nonlinear ordinary differential equations and systems, algorithms, Numerical methods for initial value problems involving ordinary differential equations, Fuzzy Cauchy Problem, fuzzy ordinary differential equations, error analysis, Error bounds for numerical methods for ordinary differential equations

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Average
gold