skip to content
Fuzzy differential equations and applications for engineers and scientists Preview this item
ClosePreview this item
Checking...

Fuzzy differential equations and applications for engineers and scientists

Author: Snehashish Chakraverty; Smita Tapaswini; D Behera
Publisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017] ©20
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Snehashish Chakraverty; Smita Tapaswini; D Behera
ISBN: 9781482244762 1482244764 9781315372853 1315372851
OCLC Number: 960716609
Target Audience: College Audience
Description: 1 online resource
Contents: Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Acknowledgements; Authors; Chapter 1: Preliminaries of Fuzzy Set Theory; Bibliography; Chapter 2: Basic Concepts of Fuzzy and Fuzzy Fractional Differential Equations; 2.1 n-th Order Fuzzy Differential Equations; 2.2 Fractional Initial Value Problem; 2.3 Fuzzy Fractional Initial Value Problem; Bibliography; Chapter 3: Analytical Methods of Fuzzy Differential Equations; 3.1 Recent Proposed Methods; 3.1.1 Method 1: Fuzzy Centre-Based Method; 3.1.2 Method 2: Method Based on Addition and Subtraction of Fuzzy Numbers. 3.1.3 Method 3: Fuzzy Centre and Fuzzy Radius-Based Method3.1.4 Method 4: Double Parametric-Based Method; Bibliography; Chapter 4: Numerical Methods for Fuzzy Ordinary and Partial Differential Equations; 4.1 Euler-Type Methods; 4.1.1 Method 1: Max-Min Euler Method; 4.1.2 Method 2: Average Euler Method; 4.2 Improved Euler-Type Methods; 4.2.1 Method 3: Max-Min Improved Euler Method; 4.2.2 Method 4: Average Improved Euler Method; 4.3 Weighted Residual Methods; 4.3.1 Method 5: Collocation-Type Method; 4.3.2 Method 6: Galerkin-Type Method; 4.4 The Homotopy Perturbation Method. 4.5 The Adomian Decomposition Method4.6 The Variational Iteration Method; Bibliography; Chapter 5: Application of Numerical Methods to Fuzzy Ordinary Differential Equations; 5.1 Implementation of Methods 1 and 2; 5.2 Implementation of Methods 3 and 4; 5.3 Implementation of Method 5; 5.4 Implementation of Method 6; 5.5 Implementation of the Homotopy Perturbation Method; Bibliography; Chapter 6: Fuzzy Structural Problems; 6.1 Double Parametric-Based Solution of an Uncertain Beam; 6.2 Solution of Uncertain Beam; 6.2.1 Using HPM; 6.2.2 Using ADM; 6.3 Uncertain Response Analysis; 6.3.1 Using HPM. 6.3.2 Using ADM6.4 Numerical Results; Bibliography; Chapter 7: Fuzzy Vibration Equations of Large Membranes; 7.1 Double Parametric-Based Solution of Uncertain Vibration Equations of Large Membranes; 7.2 Solutions of Fuzzy Vibration Equations of Large Membranes; 7.2.1 Solution by HPM; 7.2.2 Solution by ADM; 7.3 Solution Bounds for Particular Cases; 7.3.1 Using HPM; 7.3.2 Using ADM; 7.4 Numerical Results; Bibliography; Chapter 8: Nonprobabilistic Uncertainty Analysis of the Forest Fire Model; 8.1 Modelling of Forest Fire; 8.2 Fuzzy Solution of Fire Propagation; 8.3 Numerical Results.
Responsibility: S. Chakraverty, Smita Tapaswini, Diptiranjan Behera.

Abstract:

Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique workprovides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/960716609> # Fuzzy differential equations and applications for engineers and scientists
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "960716609" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/flu> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/2901939366#Topic/engineering_mathematics> ; # Engineering mathematics
    schema:about <http://dewey.info/class/515.35/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/2901939366#Topic/mathematics_mathematical_analysis> ; # MATHEMATICS--Mathematical Analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/2901939366#Topic/mathematics_calculus> ; # MATHEMATICS--Calculus
    schema:about <http://experiment.worldcat.org/entity/work/data/2901939366#Topic/differential_equations> ; # Differential equations
    schema:about <http://experiment.worldcat.org/entity/work/data/2901939366#Topic/fuzzy_mathematics> ; # Fuzzy mathematics
    schema:author <http://experiment.worldcat.org/entity/work/data/2901939366#Person/behera_d_diptiranjan_1988> ; # Diptiranjan Behera
    schema:author <http://experiment.worldcat.org/entity/work/data/2901939366#Person/tapaswini_smita_1987> ; # Smita Tapaswini
    schema:author <http://experiment.worldcat.org/entity/work/data/2901939366#Person/chakraverty_snehashish> ; # Snehashish Chakraverty
    schema:bookFormat schema:EBook ;
    schema:contentRating "College Audience" ;
    schema:datePublished "2017" ;
    schema:description "Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Acknowledgements; Authors; Chapter 1: Preliminaries of Fuzzy Set Theory; Bibliography; Chapter 2: Basic Concepts of Fuzzy and Fuzzy Fractional Differential Equations; 2.1 n-th Order Fuzzy Differential Equations; 2.2 Fractional Initial Value Problem; 2.3 Fuzzy Fractional Initial Value Problem; Bibliography; Chapter 3: Analytical Methods of Fuzzy Differential Equations; 3.1 Recent Proposed Methods; 3.1.1 Method 1: Fuzzy Centre-Based Method; 3.1.2 Method 2: Method Based on Addition and Subtraction of Fuzzy Numbers."@en ;
    schema:description "Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique workprovides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/2901939366> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/2901939366#CreativeWork/> ;
    schema:name "Fuzzy differential equations and applications for engineers and scientists"@en ;
    schema:productID "960716609" ;
    schema:url <http://www.myilibrary.com?id=972295> ;
    schema:url <http://www.taylorfrancis.com/books/9781315372853> ;
    schema:url <http://marc.crcnetbase.com/isbn/9781315372853> ;
    schema:url <http://ebookcentral.proquest.com/lib/cornell/detail.action?docID=4748387> ;
    schema:url <http://dx.doi.org/10.1201/9781315372853> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1427750> ;
    schema:url <http://www.crcnetbase.com/isbn/9781315372853> ;
    schema:url <https://www.taylorfrancis.com/books/9781315372853> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=4748387> ;
    schema:url <http://marc.crcnetbase.com/isbn/9781482244762> ;
    schema:url <http://lib.myilibrary.com?id=972295> ;
    schema:url <http://www.crcnetbase.com/isbn/9781482244762> ;
    schema:workExample <http://worldcat.org/isbn/9781315372853> ;
    schema:workExample <http://worldcat.org/isbn/9781482244762> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/960716609> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2901939366#Person/behera_d_diptiranjan_1988> # Diptiranjan Behera
    a schema:Person ;
    schema:birthDate "1988" ;
    schema:familyName "Behera" ;
    schema:givenName "Diptiranjan" ;
    schema:givenName "D." ;
    schema:name "Diptiranjan Behera" ;
    .

<http://experiment.worldcat.org/entity/work/data/2901939366#Person/chakraverty_snehashish> # Snehashish Chakraverty
    a schema:Person ;
    schema:familyName "Chakraverty" ;
    schema:givenName "Snehashish" ;
    schema:name "Snehashish Chakraverty" ;
    .

<http://experiment.worldcat.org/entity/work/data/2901939366#Person/tapaswini_smita_1987> # Smita Tapaswini
    a schema:Person ;
    schema:birthDate "1987" ;
    schema:familyName "Tapaswini" ;
    schema:givenName "Smita" ;
    schema:name "Smita Tapaswini" ;
    .

<http://experiment.worldcat.org/entity/work/data/2901939366#Topic/differential_equations> # Differential equations
    a schema:Intangible ;
    schema:name "Differential equations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2901939366#Topic/engineering_mathematics> # Engineering mathematics
    a schema:Intangible ;
    schema:name "Engineering mathematics"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2901939366#Topic/fuzzy_mathematics> # Fuzzy mathematics
    a schema:Intangible ;
    schema:name "Fuzzy mathematics"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2901939366#Topic/mathematics_calculus> # MATHEMATICS--Calculus
    a schema:Intangible ;
    schema:name "MATHEMATICS--Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2901939366#Topic/mathematics_mathematical_analysis> # MATHEMATICS--Mathematical Analysis
    a schema:Intangible ;
    schema:name "MATHEMATICS--Mathematical Analysis"@en ;
    .

<http://lib.myilibrary.com?id=972295>
    rdfs:comment "Connect to MyiLibrary resource." ;
    .

<http://marc.crcnetbase.com/isbn/9781315372853>
    rdfs:comment "View this book online, both on- and off-campus (please use Desktop Anywhere for off-campus access)" ;
    .

<http://marc.crcnetbase.com/isbn/9781482244762>
    rdfs:comment "View this book online, both on- and off-campus (please use Desktop Anywhere for off-campus access)" ;
    .

<http://worldcat.org/entity/work/data/2901939366#CreativeWork/>
    a schema:CreativeWork ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/960716609> ; # Fuzzy differential equations and applications for engineers and scientists
    .

<http://worldcat.org/isbn/9781315372853>
    a schema:ProductModel ;
    schema:isbn "1315372851" ;
    schema:isbn "9781315372853" ;
    .

<http://worldcat.org/isbn/9781482244762>
    a schema:ProductModel ;
    schema:isbn "1482244764" ;
    schema:isbn "9781482244762" ;
    .

<http://www.taylorfrancis.com/books/9781315372853>
    rdfs:comment "Taylor & Francis" ;
    .

<http://www.worldcat.org/title/-/oclc/960716609>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/960716609> ; # Fuzzy differential equations and applications for engineers and scientists
    schema:dateModified "2017-12-06" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .

<https://www.taylorfrancis.com/books/9781315372853>
    rdfs:comment "from Taylor & Francis" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.